A simple pendulum has mass 2 gram and charge $2 \mu \mathrm{C}$. In a uniform horizontal electric field of intensity $1000 \mathrm{~V} / \mathrm{m}$, pendulum is at rest. At equilibrium, the angle made by the pendulum with the vertical is ( $\mathrm{g}=$ acceleration due to gravity $=10 \mathrm{~m} / \mathrm{s}^2$ )
$\tan ^{-1}(0.2)$
$\tan ^{-1}(0.1)$
$\tan ^{-1}(0.4)$
$\tan ^{-1}(0.5)$
A mass ' $M$ ' is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes S.H.M. of periodic time ' $T$ '. If the mass is increased by ' $m$ ', the time period becomes $4 T / 3$, then the ratio of $\frac{\mathrm{M}}{\mathrm{m}}$ is
$3: 1$
$9: 7$
$7: 9$
$1: 3$
The energy of a photon is equal to the kinetic energy of proton. If $\lambda_1$ is the de-Broglie wavelength of a proton, $\lambda_2$ is the wavelength associated with the photon and if E is the energy of photon then $\lambda_2: \lambda_1$ is
$1: \sqrt{3 \mathrm{E}}$
$1: \sqrt{E}$
$\sqrt{\mathrm{E}}: 1$
$\sqrt{3 E}: 1$
In an adiabatic change, the pressure and temperature of a diatomic gas are related as $\mathrm{P} \propto \mathrm{T}^{\mathrm{c}}$, where c is a constant. The value of c is (consider gas molecules are rigid)
$\frac{9}{7}$
$\frac{7}{2}$
$\frac{5}{2}$
$\frac{4}{3}$
MHT CET (Biology) Papers
All year-wise previous year question papers