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KCET 2025
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180
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180 mins
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KCET - Previous Year Papers
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2025 · Physics · Electromagnetism · Electrostatics
KCET 2025
Match Column-I with Column - II related to an electric dipole of dipole moment $\vec{p}$ that is placed in a uniform electric field $\vec{E}$.
| Column - I Angle between \(\overset{\to }{\mathrm{p}}\)\(\overset{\to }{\mathrm{p}}\)vec(p) and \(\overset{\to }{\mathrm{E}}\)\(\overset{\to }{\mathrm{E}}\)vec(E) | Column - II Potential energy of the dipole | |||||||
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2025 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
KCET 2025
$$\text { Match List-I with List-II and select the correct option: }$$
| List-I (Molecule / ion) | List-II (Bond order) |
| \(1 . \mathrm{NO}\)\(1 . \[\mathrm{NO}\)1.NO\] | i. 15 |
| \(2 . \mathrm{CO}\)\(2 . \[\mathrm{CO}\)2.CO\] | ii. 2.0 |
| \(3 . \mathrm{O}_{2}^{-}\)\(3 . \[\mathrm{O}_{2}^{-}\)3.O_(2)^(-)\] | iii. 2.5 |
| \(4 . \mathrm{O}_{2}\)\(4 . \[\mathrm{O}_{2}\)4.O_(2)\] | iv. 3.0 |
2025 · Mathematics · Calculus · Limits Continuity And Differentiability
KCET 2025
Match the following:
In the following, $[\mathrm{x}]$ denotes the greatest integer less than or equal to x .
| Column - I | Column - II | ||
| (a) | \(\mathrm{x} | \mathrm{x} |\)\(\mathrm{x} | \mathrm{x} |\)x|x| | (i) | continuous in (-1, 1) |
| (b) | \(\sqrt{| \mathrm{x} |}\)\(\sqrt{| \mathrm{x} |}\)sqrt(|x|) | (ii) | differentiable in (-1, 1) |
| (c) | \(\mathrm{x} + [ \mathrm{x} ]\)\(\mathrm{x} + [ \mathrm{x} ]\)x+[x] | (iii) | strictly increasing in (-1, 1) |
| (d) | \(| \mathrm{x} - 1 | + | \mathrm{x} + 1 |\)\(| \mathrm{x} - 1 | + | \mathrm{x} + 1 |\)|x-1|+|x+1| | (iv) | not differentiable at, at least one point in (-1, 1) |
2025 · Physics · Optics · Ray Optics
KCET 2025
In determining the refractive index of a glass slab using a travelling microscope, the following readings are tabulated
(a) Reading of travelling microscope for ink mark $=5.123 \mathrm{~cm}$
(b) Reading of travelling microscope for ink mark through glass slab $=6.123 \mathrm{~cm}$
(c) Reading of travelling microscope for chalk dust on glass slab $=8.123 \mathrm{~cm}$
From the data, the refractive index of a glass slab is
2025 · Chemistry · Physical Chemistry · Redox Reactions
KCET 2025
$$\text { Match List-I with List-II }$$
| List-I (Types of redox reactions) | List-II (Examples) |
| a. Combination reaction | i. \(\mathrm{Cl}_{2 ( \, \mathrm{g} )} + 2 \mathrm{Br}_{( \mathrm{aq} )}^{-} \to 2 \mathrm{Cl}_{( \mathrm{aq} )}^{-} + \mathrm{Br}_{2 ( 1 )}\)\(\mathrm{Cl}_{2 ( \, \mathrm{g} )} + 2 \mathrm{Br}_{( \mathrm{aq} )}^{-} \to 2 \mathrm{Cl}_{( \mathrm{aq} )}^{-} + \mathrm{Br}_{2 ( 1 )}\)Cl_(2(g))+2Br_((aq))^(-)rarr2Cl_((aq))^(-)+Br_(2(1)) |
| b. Decomposition reaction | ii. \(2 \mathrm{H}_{2} \mathrm{O}_{2 ( \mathrm{aq} )} \to 2 \mathrm{H}_{2} \mathrm{O}_{( \mathrm{l} )} + \mathrm{O}_{2 ( \, \mathrm{g} )}\)\(2 \mathrm{H}_{2} \mathrm{O}_{2 ( \mathrm{aq} )} \to 2 \mathrm{H}_{2} \mathrm{O}_{( \mathrm{l} )} + \mathrm{O}_{2 ( \, \mathrm{g} )}\)2H_(2)O_(2(aq))rarr2H_(2)O_((l))+O_(2(g)) |
| c. Displacement reaction | iii. \(\mathrm{CH}_{4 ( \, \mathrm{g} )} + 2 \mathrm{O}_{2 ( \, \mathrm{g} )} \overset{\Delta \,}{\to} \mathrm{CO}_{2 ( \, \mathrm{g} )} + 2 \mathrm{H}_{2} \mathrm{O}_{( \mathrm{l} )}\)\(\mathrm{CH}_{4 ( \, \mathrm{g} )} + 2 \mathrm{O}_{2 ( \, \mathrm{g} )} \overset{\Delta \,}{\to} \mathrm{CO}_{2 ( \, \mathrm{g} )} + 2 \mathrm{H}_{2} \mathrm{O}_{( \mathrm{l} )}\)CH_(4(g))+2O_(2(g))rarr"Delta"CO_(2(g))+2H_(2)O_((l)) |
| d. Disproportionation reaction | iv. \(2 \mathrm{H}_{2} \mathrm{O}_{( 1 )} \overset{\Delta \,}{\to} 2 \mathrm{H}_{2 ( \, \mathrm{g} )} + \mathrm{O}_{2 ( \, \mathrm{g} )}\)\(2 \mathrm{H}_{2} \mathrm{O}_{( 1 )} \overset{\Delta \,}{\to} 2 \mathrm{H}_{2 ( \, \mathrm{g} )} + \mathrm{O}_{2 ( \, \mathrm{g} )}\)2H_(2)O_((1))rarr"Delta"2H_(2(g))+O_(2(g)) |
$$\text { Choose the correct answer from the options given below. }$$
2025 · Mathematics · Calculus · Differential Equations
KCET 2025
General solution of the differential equation $\frac{d y}{d x}+y \tan x=\sec x$ is