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List of top Questions asked in KCET- 2022

1 mole of HI is heated in a closed container of capacity of 2 L. At equilibrium half a mole of HI is dissociated. The equilibrium constant of the reaction is 

In case of Fraunhofer diffraction on a single slit the diffraction pattern on the screen correct for which of the following statements ?

The de - Broglie wavelength of a particle of kinetic energy 'K' is \(\lambda\), the wavelength of the particle if its kinetic energy is

The power of equi - concave lens is - 4.5 D and is made of a material R.I. 1.6, the radii of the curvature of the lens is 

A proton moves with a velocity of 5 x 106 j m/s, through the uniform electric field E = 4 x 106 (2i + 0.2j + 0.1k) Vm-1and the uniform magnetic field B = 0.2( i + 0.2 j + k) T. The approximate net force acting on the proton is
If \(y =\)\(e^{\sqrt{x\sqrt{x\sqrt{x\ldots}}}}\) \(x>1,\) then \(\left. \frac{{d^2y}}{{dx^2}} \right|_{x = \log_e 3}\) is
If all permutations of the letters of the word MASK are arranged in the order as in dictionary with or without meaning, which one of the following is 19th word ?
The degree measure of \(\frac{\pi}{32}\) is equal to

An electric dipole with dipole moment 4 x 10-9 Cm is aligned at 30 degree with the direction of the uniform electric field of magnitude 5 x 104 NC-1. The magnitude of the torque acting on the diapole is 

If A is a skew symmetric matrx, then \(A^ {2021}\) is
If \(\vec{\alpha}=\hat{i}-3\hat{j},\vec{\beta}=\hat{i}+2\hat{j}-\hat{k}\) then express If |a×b|+|a.b|=36 and |a|=3 then |b| is equal to\(\vec{\beta}\) in the form \(\vec{β}=\vec{β_1}+\vec{β_2}\) where \(\vec{β}_1\) is parellel to \(\vec{\alpha}\) and \(\vec{β}_2\) is perpendicular to \(\vec{\alpha}\) then \(\vec{β_1}\) is given by
The trigonometric function y = tan x in the II quadrant
The Respiratory Quotient (RQ) of glucose is
If \(|\vec{a}|=2\) and \(|\vec{b}|=3\) and the angle between \(\)\(\vec{a}\) and \(\vec{b}\) is 120°, then the length of the vector \(|\frac{1\vec{a}}{2}-\frac{1\vec{b}}{3}|^2\) is

An electron is revolving in its Bohr orbit having Bohr radius of 0.529 Å, then the radius of third orbit is

Vacant Space in a body centered cubic lattice unit cell is about

A metallic rod of mass per unit length $0.5 \, kg \, m^{-1}$ is lying horizontally on a smooth inclined plane which makes an angle of $30^{\circ}$ with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction $0.25 \,T$ is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is
The function \(f(x) = \log(1+x) - \frac{2x}{2+x}\) is increasing on
Cuscuta is an example of

Which of the following is NOT true about the amorphous solids ?

The function \(f(x) = 4 \sin^3 x - 6 \sin^2 x + 12 \sin x + 100\) is strictly
\(\sqrt{2 + \sqrt{2 + \sqrt{2 + 2\cos(8\theta)}}}\)=
The value of \(\sin \frac{5\pi}{12} \sin \frac{\pi}{12}\) is
If A = {1,2,3........,10} then number of subsets of A containing only odd number is
Suppose that the number of elements in set A is p, the number of elements in set B is q and the number of elements in \(A \times B\) is 7 then \(p^2 + q^2 =\)

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