MHT CET (PCB) 2025 9th April Evening Shift

A physical quantity $\mathrm{P}=\frac{\mathrm{A}^3 \sqrt{\mathrm{~B}}}{\mathrm{C}^{-4} \mathrm{D}^{3 / 2}}$. Out of the quantities $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D , the quantity which brings maximum percentage error in P is

At what angle should the two forces $2 \overrightarrow{\mathrm{P}}$ and $\sqrt{2} \overrightarrow{\mathrm{P}}$ act so that the resultant force is $\sqrt{10} \overrightarrow{\mathrm{P}}$ ?

The angular separation between the minute hand and the hour hand of clock 40 minutes passed after $12 \mathrm{p} . \mathrm{m}$. is

A stone is projected at an angle $60^{\circ}$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at highest point of flight will be $\left(\cos 60^{\circ}=0.5\right)$

Two bodies with kinetic energies in the ratio $3: 1$ are moving with equal linear momentum. The ratio of their masses is

Two bodies A and B have their moments of inertia I and 3I respectively about their axis of rotation. their kinetic energies of rotation are also equal. The ratio of angular momenta of body A to that of body B is

A bucket filled with water is revolved in a vertical circle of radius 10 m and water just not fall down. The time period of revolution will be (acceleration due to gravity $=10 \mathrm{~m} / \mathrm{s}^2$ )

An object is released from a distance ' $r$ ' from the centre of the earth. The velocity of the object at the time of striking the earth will be ( $R=$ radius of earth, $r>R, g=$ acceleration due to gravity)

A small steel ball of mass ' M ', radius ' R ' and density ' $\rho$ ' falls with terminal velocity through a tube filled with glycerine of density ' $\sigma$ '. The viscous force acting on the steel ball is ( $\mathrm{g}=$ acceleration due to gravity)

A particle of mass 0.02 kg executes S.H.M. about $\mathrm{x}=0$ under the influence of a force as shown in figure. The period of S.H.M. is

A particle performs S.H.M. with amplitude 'A'. The speed of the particle is $\left(\frac{1}{3}\right)^{\text {rd }}$ of the maximum speed when its displacement from the mean position is

Two (A and B) pendulums begin to swing simultaneously. The first pendulum (A) makes five oscillations when the other (B) makes three oscillations. The ratio of the lengths of pendulum $A$ to that of $B$ is

Two solid spheres of same material but of mass ' M ' and ' 8 M ' fall simultaneously through a viscous liquid. Their terminal velocities are respectively ' V ' and ' nV '. The value ' n ' is

When a big drop of water is formed from n small drops of water, the energy loss is 4 E , where E is the energy of the bigger drop. If $R$ and $r$ is the radius of the bigger and the smaller drop respectively then number of smaller drops $n$ is

If the r.m.s. velocity of gas is V at temperature T , then

An open organ pipe and a closed organ pipe have the frequency of their second overtone identical. The ratio of length of closed pipe to that of open pipe is (Neglect end correction)

The loudness and pitch of sound note respectively depend upon

A Carnot engine has an efficiency of $\frac{1}{6}$. When the temperature of sink is reduced by 62 K , its efficiency is doubled. The temperature of the source is

A transverse wave is moving along a string. The linear density of a vibrating string is $2 \times 10^{-3} \mathrm{~kg} / \mathrm{m}$. The wave equation is $y=0.02 \sin (2 x+10 t) m$. The tension in the string is

A uniform metal wire has length ' $L$ ', mass ' $M$ ' and area of cross-section ' A '. It is under tension ' $T$ ' and ' $V$ ' is the speed of transverse wave along the wire. The density of the wire is

Glass has refractive index ' $n$ ' with respect to air and ' $\theta$ ' is the critical angle for a ray of light going from glass to air. If a ray of light is incident from air on the glass with angle of incidence ' $\theta$ ', corresponding angle of refraction is

Light propagates 2 cm distance in glass of refractive index 1.5 in certain time. In the same time same light propogates a distance of 2.25 cm in a medium. The refractive index of the medium is

In resistance thermometer, the resistance at $0^{\circ} \mathrm{C}$ and $100^{\circ} \mathrm{C}$ are $6.74 \Omega$ and $7.74 \Omega$ respectively. The temperature corresponding to $6.53 \Omega$ resistance is

The heat required to increase the temperature from 373 K to 573 K at constant volume for ideal monoatomic gas of 2 moles is ( $R=$ universal gas constant)

An ideal gas in a container of volume 500 cc is at a pressure of $2 \times 10^5 \mathrm{~N} / \mathrm{m}^2$. The average kinetic energy of each molecule is $6 \times 10^{-21} \mathrm{~J}$. The number of gas molecules in the container is

In thermodynamic process, for free expansion, out of the following select the 'WRONG' statement.

Monochromatic light of wavelength $4800 \mathop {\rm{A}}\limits^{\rm{o}}$ falls on slit of width ' $a$ '. For what value of ' $a$ ', the first maximum falls at $30^{\circ} .\left(\sin 30^{\circ}=0.5\right)$

If the electric flux entering and leaving an enclosed surface area are ' $\phi_1$ ' and ' $\phi_2$ ' respectively, the electric charge inside the surface will be ( $\varepsilon_0=$ permittivity of free space)

A cell is balanced against 240 cm and 100 cm of potentiometer wire, respectively, when in open circuit and when short-circuited through a resistance of $5 \Omega$. The internal resistance of the cell is

If 80 J of work is required in moving an electric charge of ' 2 C ' from a point where potential is " -8 V ' to another point where potential is ' $V$ ' volt, the value of ' $V$ ' is

In Young's double slit experiment, waves from slits ' $\mathrm{S}_1$ ' and ' $\mathrm{S}_2$ ' have a path difference of $\frac{\lambda}{4}$ and $\frac{\lambda}{6}$ respectively at points $x$ and $y$ on the screen. The ratio of intensities at points $y$ to that at $x$ is $\left(\cos 45^{\circ}=\frac{1}{\sqrt{2}}, \cos 30^{\circ}=\sqrt{3} / 2,\right)$

A charge of $8 \mu \mathrm{C}$ exists at the centre of the square $A B C D$. The work done in moving a $4 \mu C$ point charge from corner A to corner B is (Along side AB )

Magnetic field at the centre of a circular loop of area ' $A$ ' is ' $B$ '. The magnetic moment of the loop is ' $x B$ '. The value of ' $x$ ' is ( $\mu_0=$ permeability of vacuum or free space)

In a circuit shown, if $10 \Omega$ resistor is replaced by $20 \Omega$, then the current drawn from the battery is

Out of the following properties describing diamagnetism, identify the property which is "WRONG"

An air capacitor of plate area ' $A$ ' and separation between the plates is ' $d$ ' has a capacity ' $C$ '. Two dielectric slabs are inserted between its plates in two different manners as shown in figure. The capacitance of a capacitor is

The capacitive reactance of a capacitor connected to 50 V d.c. is

The current $I$ is flowing through a loop $A B C D A$ as shown in the figure. The magnitude of the magnetic field at the centre ' $O$ ' is $x$ times

$$ \left(\frac{\mu_0 \mathrm{I}}{\mathrm{R}}\right)\left(\mathrm{OD}=\mathrm{R}, \mathrm{DC}=\mathrm{R}, \angle \mathrm{AOD}=90^{\circ}\right) $$

The value of ' $x$ ' is ( $\mu_0=$ permeability of free space)

The frequency of oscillation of LCR series circuit is ' $F$ '. The value of capacitance is tripled, then new frequency becomes ' xF '. The value of ' $x$ ' is

Out of the following graphs, the correct graphical relation for LC parallel resonant circuit at resonance is

According to Bohr's first postulate the kinetic energy $\frac{1}{2} m v^2$ of the electron in C.G.S. system is ( $\mathrm{m}=$ mass of electron, v is its velocity, r is the radius of the stationary orbit around the nucleus with charge Ze )

In the Bohr model of hydrogen atom, out of the following quantities, the principal quantum number is proportional to ( $\mathrm{R}, \mathrm{V}$ and E represent radius of the orbit, speed of electron and total energy of the electron respectively)

Two coils having self-inductances $\mathrm{L}_1=75 \mathrm{mH}$ and $L_2=48 \mathrm{mH}$ are coupled with each other. If the mutual inductance of the coils is 37.2 mH , then coefficient of coupling will be

An elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to uniform magnetic field $\mathrm{B}=0.6 \mathrm{~T}$. When loop is released, the radius starts shrinking at constant rate $3 \mathrm{~cm} / \mathrm{s}$. The induced e.m.f. in the loop at an instant when the radius of the loop is 10 cm will be (in mV )

Two identical photocathodes receive light of frequencies ' $f 1$ ' and ' $f_2$ '. The velocity of the photoelectrons of mass ' $m$ ' emitted are respectively ' $\mathrm{v}_1$ ' and ' $\mathrm{v}_2$ '. Then the correct relation is ( $\mathrm{h}=$ Planck's constant)

For a p-type semiconductor, the relation between the number density ' $\mathrm{n}_{\mathrm{h}}$ ' and ' $\mathrm{n}_{\mathrm{e}}$ ' is

The main difference in the working of a step-up transformer and CE amplifier is

The output Y of a given logic circuit is (For inputs $\mathrm{A}, \mathrm{B}$ and C )

In photoelectric effect experiment, the stopping potential for a given metal is $\mathrm{V}_0$ (in volt) when radiation of wavelength $\lambda_0$ is used. If radiation of wavelength $5 \lambda_0$ is used with the same metal, then the stopping potential is (in volt) ( $\mathrm{h}=$ Planck's constant, $\mathrm{c}=$ velocity of light, $\mathrm{e}=$ electronic charge)

Calculate the energy associated with second orbit of $\mathrm{He}^{+}$.

The solubility of sparingly soluble, salt $\mathrm{AX}_2$ is $1.5 \times 10^{-3} \mathrm{~mol} \mathrm{dm}^{-3}$. What is its solubility product?

Solubility of $\mathrm{Mg}(\mathrm{OH})_2$ is ' S ' $\mathrm{mol} / \mathrm{dm}^3$ its solubility product is equal to

What is change in oxidation number of ' Mn ' during the decolourisation of acidified potassium permanganate by moist sulfur dioxide?

Identify positively charged sol from following.

What is the amount of 'Al' deposited at cathode during electrolysis of aqueous $\mathrm{AlCl}_3$ by passing 1 faraday electricity?

Find the total number of tetrahedral voids formed in 0.5 mole of a compound forming hcp structure.

What is the percent void volume in hcp lattice?

If for the cell reaction,

$$ \mathrm{A}_{(\mathrm{s})}+\mathrm{B}_{(\mathrm{aq})}^{+} \longrightarrow \mathrm{A}_{(\mathrm{aq})}^{+}+\mathrm{B}_{(\mathrm{s})} $$

if $\mathrm{E}_{\text {cell }}^{\circ}=0.0592 \mathrm{~V}$. What is equilibrium constant of reaction at 298 K ?

For the reaction

$$ \mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \longrightarrow 2 \mathrm{NH}_{3(\mathrm{~g})} $$

$\mathrm{N}_{2(\mathrm{~g})}$ disappears at the rate of $2 \times 10^{-4} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$. Find the rate of $\mathrm{NH}_3$ formation.

Find the rate of disappearance of $B$ for the reaction $2 \mathrm{~A}+\mathrm{B} \longrightarrow 2 \mathrm{C}+\mathrm{D}$, from following.

What type of hybridisation is found in $\mathrm{H}_2 \mathrm{Se}$ ?

What is the number of unpaired electrons in $\mathrm{C}_0$ in +2 state?

What is the total number of moles of ' C ' atoms and ' H ' atoms respectively present in n mole molecule represented by following structure?

Which among the following is NOT benzylic halide?

Which of the following is tertiary benzylic alcohol?

Which of the following is a pair of dihydric phenols?

Identify product ' $X$ ' obtained in the following reaction.

$$ \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}+\mathrm{CH}_3 \mathrm{COOAg} \xrightarrow{\Delta} \mathrm{X}+\mathrm{AgBr} $$

Identify the product ' X ' in following reaction.

Ethanoyl chloride $\xrightarrow{\mathrm{H}_2 \mathrm{O}} X$

Identify the product formed in the following reaction.

Identify product ' B ' in the following reaction.

$$ \text { Cumene } \xrightarrow[\Delta]{\mathrm{KMnO}_4, \mathrm{KOH}} \mathrm{~A} \xrightarrow{\mathrm{H}_3 \mathrm{O}^{+}} \mathrm{B} $$

Identify the monomers used to prepare polycarbonate.

Identify thermoplastic polymer from following.

Identify the products of following reaction.

$$ \mathrm{C}_6 \mathrm{H}_5 \mathrm{COOC}_2 \mathrm{H}_5 \xrightarrow[\text { dil H}_2 \mathrm{SO}_4]{\Delta} \text { Products } $$

Types of Carbohydrates are given in Column I while their examples are given in Column II.

Which from following compounds is used as analgesics?

Number of pyrimidine bases found in nucleic acids is / are

Which from following is essential amino acid?

In the given diagram of developing monocot embryo, identify the labels 'i', 'ii' and 'iii'.

Which secondary metabolites are added to wines to improve astringency?

Which from following compounds is called Gammexane?

Given below are two statements.

Statement I - All monosaccharides are reducing sugars.

Statement II - Polysaccharides are too big to escape from the cell.

In the light of above statements, select the correct option given below:

How many meiotic and mitotic divisions respectively are required to form male gametophyte from pollen mother cell?

Which of the following plant shows 'Lever mechanism' of pollination?

Given below are two statements.

Statement I - Microspore is covered by two layered covering called sporoderm.

Statement II - Sporopollenin is not present in the region of germ pores in microspore.

In the light of above statements, Select the correct option given below:

Match Column I containing names of enzymes with Column II containing their microbial source.

Which one of the following is a non-symbiotic biofertilizer?

Match the parts of anatropous ovule given in Column I with their ploidy given in Column II.

Cuticular transpiration contributes to __________ $\%$ of total transpiration in plants.

Eremothecium ashbyi is used to obtain __________ .

An additional apoplastic route that allows direct access to xylem in plants is along the secondary roots because they __________

When roots are deprived of __________ they show a sudden drop in active absorption.

Given below are two statements about sap in xylem.

Statement I - Under normal conditions the sap in the xylem cell shows negative hydrostatic pressure.

Statement II - It also shows very low osmotic pressure.

In the light of above statements, Select the correct option given below:

Given below are two statements about absorption of water in plants.

Statement I - Water passes into the interface of cell wall and plasma membrane by diffusion.

Statement II -Water at the interface of cell wall and plasma membrane enters into the cytoplasm of the cell by osmosis.

In the light of above statements, select the correct option given below:

For facilitated diffusion in plant________ is essential.

Which one of the following is the activator for enzyme enolase in glycolysis?

Which one of the following occurs during glycolysis?

Which one of the following is a correct statement?

Given below are two statements.

Statement I - F 1 part of oxysome catalyse the synthesis of ATP from ADP

Statement II - Protons are channeled from outer chamber of mitochondria into inner chamber by $\mathrm{F}_0$ part of oxysome.

In the light of above statements, select the correct option given below:

Which of the following technique is used for invitro amplification of gene?

In tissue culture technique, to maintain aseptic conditions the nutrient medium is autoclaved at constant pressure of _________ $\mathrm{lb} / \mathrm{sq}$ inch for continuous __________ minutes.

During aerobic respiration, out of 38 ATP molecules produced from one glucose, how many ATP molecules are formed through ETS?

The transfer of rDNA into a bacterial cell for the purpose of its cloning, is assisted by ________ ions.

What is the probability of producing a colourblind son if a colourblind male marries a normal visioned female?

Following are modern techniques used to protect endangered species EXCEPT _________

Which one of the following is NOT a technique used for direct transfer of foreign DNA into the protoplast of host cell without using vector?

$$ \text { Match the restriction enzyme in Column I with their recognition sequences in Column II. } $$

Match the items given in Column I with their number found in India given in Column II

Which one of the following is NOT a sex linked disorder?

Red (RR) flowered plant of Mirabilis is crossed with white (rr) flowered plant. All the offsprings in $\mathrm{F}_1$ generation are pink ( Rr ). This is an indication that the ' R ' gene is __________

The very first step of initiation of translation is

Which one of the following is an important symptom of haemophilia?

A large population is showing random mating and not undergoing any evolutionary change. If frequency of allele A is 0.6 , then find out the percentage of homozygous recessive and heterozygous organisms respectively?

Non-disjunction of X - chromosome during meiosis leads to __________

Elimination of defective gene and insertion of healthy gene in a genome is achieved by ________

In an operon, when repressor protein attaches to the operator then __________ .

Exons on hnRNA codes for $\qquad$

Given below are two statements.

Statement I - In Meselson and Stahl's experiment the samples were separated by using CsCl equilibrium gradients.

Statement II - ${ }^{15} \mathrm{~N}$ is a heavy isotope and can be separated based on density gradient.

In the light of above statements, select the correct option given below:

Select the correct sequential level with decreasing complexity of ecological organisation.

Identify the correct sequence of steps in Hershey and Chase's experiment.

Which of the following depicts Logistic growth curve of population?

Given below are two statements.

Statement I - Osmoconformers are animals, that are iso-osmotic to the surroundings.

Statement II - Marine organisms mostly are osmoconformers because their body fluids and external environment are iso-osmotic in nature. In the light of above statements, select the correct option given below:

The purpose of biological treatment of sewage is to __________ .

Number of deaths with no competition and abundance of resources such as food and water is ________.

Which one of the following does not show suspend type of adaptation?

Noise can cause the following EXCEPT __________.

'Algal bloom' mainly includes _________ .

While describing the dynamics of growth in plants, Relative Growth Rate (RGR) is determined by the following formula.

Which one of the following phytohormones causes epinasty?

Which one of the ecosystem service is necessary for crop production and fruit formation?

Following components of the ecosystem are all linked to function as an 'ecosystem unit' EXCEPT ________

Match the types of plants in Column I with the time of the year when they flower given in Column II.

The terminal stage of xerarch succession is represented by _________ .

Transmission of malaria is through __________

In which one of the following, treatment includes use of protective mask and gear to minimize inflammation?

Detritus food chain begins with ___________ .

Which among the following disease is called as modern pandemic?

Reason for introducing vaccine into the body is ___________.

How many electrodes are generally positioned on chest during recording of ECG?

If Rh antigens are introduced into the body of $\mathrm{Rh}^{-\mathrm{ve}}$ person for second time, then it leads to _________

Match the Column I with Column II regarding cardiac cycle.

Given below are two statements with reference to measurement of blood pressure.

Statement I - The appearance of Korotkoff sounds for the first time due to release of external pressure indicates diastolic pressure. Statement II - The disappearance of Korotkoff sounds for the first time due to release of external pressure indicates systolic pressure.

In the light of above statements, select the correct option given below:

Match parts of human ear in Column I with their structure / characteristic in Column II.

By using methylene blue, which of the following leucocytes can be stained and identified?

Given below are two statements.

Statement I - There are different modes of asexual reproduction in plants.

Statement II - Sexual reproduction in plants, involves two major events.

In the light of above statements, select the correct option given below:

Legal framework for MTP act 2017 aims for following EXCEPT_________

Select the INCORRECT statement regarding spinal cord from the following.

Smallest branch of mixed spinal nerve is $\qquad$

Which one of the following is NOT an example of unconditioned reflex?

Match the properties of nerve fibres in Column I with their explanation in Column II

Action of salivary amylase stops when food gets mixed with gastric juice due to __________

Match the types of glands in Column I with their location in Column II

The palate separates _________ .

When there is blockage in the fallopian tube, zygote is transferred to fallopian tube for further development. This is __________ type of ART.

The enzyme enterokinase helps in conversion of _________.

Select the INCORRECT statement regarding physiology of digestion.

The Krebs-Henseleit cycle of urea formation is a sequence of biochemical reactions that takes place in___________

Renal medulla contains __________ .

i. Malpighian bodies and convoluted tubules

ii. blood vessels and glomerulus

iii. Loop of Henle

iv. Collecting ducts

People who don't drink enough water and consume high protein diet, may suffer from

__________ kidney stones.

Which one of the following is a salt- retaining hormone?

Glisson's capsule is _________

Role of Angiotensin converting enzyme is ___________.

Match the Column I with Column II regarding adrenal gland.

Select the INCORRECT statement regarding the prostate gland.

Match the pair.

Which of the following cells are present in maximum (highest) number in the Islet of Langerhans?

Fluid filled antrum is present between secondary oocyte and _________

Select INCORRECT statement regarding cells of Sertoli.

Select INCORRECT statement about the Hering-Breuer reflex.

Given below are two statements.

Statement I -The right lung is larger and divided into two lobes.

Statement II -The left lung is smaller and divided into three lobes.

In the light of above statements, select the correct option given below:

Select the correct pair regarding origin of life

Given below are two statements.

Statement I - In testis, vasa efferentia connect the rete testis with head of epididymis.

Statement II - The vas deferens arises from the corpus or body of epididymis.

In the light of above statements, select the correct option given below:

Example of geographical isolation is __________

Connecting link between ape and man is ____________ in the course of human evolution.

Which among the following represents the process of reductive deamination?

A rod of circular cross-sectional area A and length $L$ is wound uniformly with $n$ turns of an insulated wire. If current flowing through the windings is I, the total magnetic flux produced inside windings is $\phi$. The relative permeability of the rod is ( $\mathrm{N}=$ number of turns per unit length) $\left(\mu_0=\right.$ permeability of vacuum $)$

Tremor of fingers, increased irritability, tachycardia, weight loss, etc are the symptoms of _________ .

According to Darwinism, __________ leads to evolution.

What is the value of $\mathrm{pK}_{\mathrm{a}}$ if $0.1 \mathrm{M} \mathrm{CH}_3 \mathrm{COONa}$ and $0.01 \mathrm{M} \mathrm{CH}_3 \mathrm{COOH}$ are mixed to form buffer solution having pH 4.50 ?

Which from following quantity of different gases contains maximum number of molecules?

Which from following conditions defines the critical temperature of a gas is the temperature

Which from following reactions performs highest + ve work at $25^{\circ} \mathrm{C}$ ?

Calculate standard Gibbs energy for a certain reaction if $\Delta \mathrm{H}^{\circ}$ and $\Delta \mathrm{S}^{\circ}$ respectively are $219 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $-20 \mathrm{JK}^{-1}$.

Calculate the change in internal energy of the system if 15 kJ of work done on the surrounding and system releases 10 kJ of heat in a particular reaction.

Which from following units of concentrations of solutions is temperature independent?

Calculate the osmotic pressure of 0.01 M aqueous solution of non electrolyte at 300 K .

$$ \left[\mathrm{R}=0.0821 \mathrm{~atm} \mathrm{dm}^3 \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right] $$

Calculate cryoscopic constant of solvent if 2 g solute having molar mass $80 \mathrm{~g} \mathrm{~mol}^{-1}$ dissolved in 75 g solvent decreases its freezing point by 0.4 K .

What is the average oxidation number of carbon in carbon suboxide $\mathrm{C}_3 \mathrm{O}_2$ ?

Calculate the number of unit cells present in 0.6 g metal if the product of density and unit cell volume is $3.6 \times 10^{-22} \mathrm{~g}$.

Which of the following species acts as an oxidising agent during working of hydrogenoxygen fuel cell?

Half life of a first order reaction is 3 hours. Calculate the value of $\frac{[\mathrm{A}]_0}{[\mathrm{~A}]_{\mathrm{t}}}$ after 8 hours.

Identify the compound having highest value of bond angle from following.

Identify the element so that the last electron enters in ( $n-2$ )f sub shell.

Identify the correct decreasing order of stability of complexes formed by divalent metal ions with same ligand.

What is the total number of donor atoms present in Bis(ethylenediamine)dithiocyanatoplatinum (IV)?

Identify the order of reactivity of halogens towards alkanes.

Identify the major product obtained in the reaction of chlorobenzene with chlorine in presence of anhydrous $\mathrm{FeCl}_3$.

Which from following reagents is NOT involved in Sandmeyer reaction?

Which among the following compounds has highest boiling point?

Which from following tests for glucose confirms presence of carbonyl group?

Which of the following cations is involved in formation of chlorophyll molecule in plants?