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JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
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Questions
90
Duration
180 mins
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IIT-JEE Main - Previous Year Papers
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90questions
Medium
55
61.1%
Easy
32
35.6%
Hard
3
3.3%
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90questions
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60
66.7%
Numerical Answer Type (NAT)
30
33.3%
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Sample questions from this paper
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2023 · Physics · Mechanics · Heat And Thermodynamics
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
Given below are two statements: one is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$
Assertion A: Efficiency of a reversible heat engine will be highest at $-273^{\circ} \mathrm{C}$ temperature of cold reservoir.
Reason R: The efficiency of Carnot's engine depends not only on the temperature of the cold reservoir but it depends on the temperature of the hot reservoir too and is given as $\eta=\left(1-\frac{T_{2}}{T_{1}}\right)$
In the light of the above statements, choose the correct answer from the options given below
Assertion A: Efficiency of a reversible heat engine will be highest at $-273^{\circ} \mathrm{C}$ temperature of cold reservoir.
Reason R: The efficiency of Carnot's engine depends not only on the temperature of the cold reservoir but it depends on the temperature of the hot reservoir too and is given as $\eta=\left(1-\frac{T_{2}}{T_{1}}\right)$
In the light of the above statements, choose the correct answer from the options given below
2023 · Chemistry · Inorganic Chemistry · P Block Elements
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
Boric acid is solid, whereas $\mathrm{BF}_3$ is gas at room temperature because of :
2023 · Mathematics · Algebra · Vector Algebra
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
Let $\lambda \in \mathbb{R}, \vec{a}=\lambda \hat{i}+2 \hat{j}-3 \hat{k}, \vec{b}=\hat{i}-\lambda \hat{j}+2 \hat{k}$.
If $((\vec{a}+\vec{b}) \times(\vec{a} \times \vec{b})) \times(\vec{a}-\vec{b})=8 \hat{i}-40 \hat{j}-24 \hat{k}$,
then $|\lambda(\vec{a}+\vec{b}) \times(\vec{a}-\vec{b})|^2$ is equal to :
If $((\vec{a}+\vec{b}) \times(\vec{a} \times \vec{b})) \times(\vec{a}-\vec{b})=8 \hat{i}-40 \hat{j}-24 \hat{k}$,
then $|\lambda(\vec{a}+\vec{b}) \times(\vec{a}-\vec{b})|^2$ is equal to :
2023 · Physics · Modern Physics · Atoms And Nuclei
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
Given below are two statements: one is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$
Assertion A: The nuclear density of nuclides ${ }_{5}^{10} \mathrm{~B},{ }_{3}^{6} \mathrm{Li},{ }_{26}^{56} \mathrm{Fe},{ }_{10}^{20} \mathrm{Ne}$ and ${ }_{83}^{209} \mathrm{Bi}$ can be arranged as $\rho_{\mathrm{Bi}}^{\mathrm{N}}>\rho_{\mathrm{Fe}}^{\mathrm{N}}>\rho_{\mathrm{Ne}}^{\mathrm{N}}>\rho_{\mathrm{B}}^{\mathrm{N}}>\rho_{\mathrm{Li}}^{\mathrm{N}}$
Reason R: The radius $R$ of nucleus is related to its mass number $A$ as $R=R_{0} A^{1 / 3}$, where $R_{0}$ is a constant.
In the light of the above statements, choose the correct answer from the options given below
Assertion A: The nuclear density of nuclides ${ }_{5}^{10} \mathrm{~B},{ }_{3}^{6} \mathrm{Li},{ }_{26}^{56} \mathrm{Fe},{ }_{10}^{20} \mathrm{Ne}$ and ${ }_{83}^{209} \mathrm{Bi}$ can be arranged as $\rho_{\mathrm{Bi}}^{\mathrm{N}}>\rho_{\mathrm{Fe}}^{\mathrm{N}}>\rho_{\mathrm{Ne}}^{\mathrm{N}}>\rho_{\mathrm{B}}^{\mathrm{N}}>\rho_{\mathrm{Li}}^{\mathrm{N}}$
Reason R: The radius $R$ of nucleus is related to its mass number $A$ as $R=R_{0} A^{1 / 3}$, where $R_{0}$ is a constant.
In the light of the above statements, choose the correct answer from the options given below
2023 · Chemistry · Inorganic Chemistry · S Block Elements
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
Which of the following reaction is correct?
2023 · Mathematics · Algebra · 3D Geometry
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
If a plane passes through the points $(-1, k, 0),(2, k,-1),(1,1,2)$ and is parallel to the line $\frac{x-1}{1}=\frac{2 y+1}{2}=\frac{z+1}{-1}$, then the value of $\frac{k^2+1}{(k-1)(k-2)}$ is :