List of top Questions asked in MHT CET- 2021

The magnetic field inside a current carrying toroidal solenoid is $0.2\text{ mT}$. What is the magnetic field inside the toroid if the current through it is tripled and the cross-sectional radius is made $\frac{1}{3}^{\text{rd}}$?
A parallel plate capacitor having plates of radius $6\text{ cm}$ has capacitance $100\text{ pF}$. It is connected to $230\text{ V}$ a.c. supply with angular frequency $300\text{ rad/s}$. The r.m.s. value of current is
The light of wavelength '$\lambda$' is incident on the surface of metal of work function $\phi$ and emits the electron. The maximum velocity of electron emitted is [$m = \text{mass of electron and } h = \text{Planck's constant, } c = \text{velocity of light}$]
Two rings of radius 'R' and 'nR' made of same material have the ratio of moment of inertia about an axis passing through its centre and perpendicular to the plane is $1 : 8$. The value of 'n' is (mass per unit length = $\lambda$)
For the circuit shown below, instantaneous current through inductor '$L$' and capacitor '$C$' is respectively
At a height 'R' above the earth's surface the gravitational acceleration is (R = radius of earth, g = acceleration due to gravity on earth's surface)
A step-down transformer is used to reduce the main supply from $V_1$ volt to $V_2$ volt. The primary coil draws a current $I_1$ A and the secondary coil draws $I_2$ A ($I_1 \lt I_2$). The ratio of input power to output power is
If the pressure of an ideal gas is decreased by 10% isothermally, then its volume will
A needle is $7\text{ cm}$ long. Assuming that the needle is not wetted by water, what is the weight of the needle, so that it should float on water surface? [Surface tension of water = $70\text{ dyn/cm}$, $g = 980\text{ cm/s}^2$]
An ideal gas having molar mass $M_0$, has r.m.s. velocity $V$ at temperature $T$. Then
A child is standing with folded hands at the centre of the platform rotating about its central axis. The kinetic energy of the system is '$K$'. The child now stretches his arms so that the moment of inertia of the system becomes double. The kinetic energy of the system now is
The critical angle for light going from medium '$x$' to medium '$Y$' is $\theta$. The speed of light in medium '$x$' is $v$. The speed of light in medium '$Y$' is
An object is located on a wall, its image of equal size is to be obtained on a parallel wall with the help of a convex lens. The lens is placed at a distance '$d$' in front of the second wall. The required focal length of the lens is
A driver applies the brakes on seeing the red traffic signal $400\text{ m}$ ahead. At the time of applying the brakes, the vehicle was moving with a speed of $54\text{ km/h}$ and retards uniformly at $0.3\text{ m/s}^2$. The distance of the vehicle from the traffic signal when it stops is
A particle connected to the end of a spring executes S.H.M. with period $T_1$. While the corresponding period for another spring is $T_2$. If the period of oscillation with two springs in series is $T$, then
When a photon enters glass from air, which one of the following quantities does not change?
In Young's double slit experiment using monochromatic light of wavelength '$\lambda$', the maximum intensity of light at a point on the screen is $K$ units. The intensity of light at a point where the path difference is $\frac{\lambda}{3}$ is
An electron of mass '$m$' and charge '$q$' is accelerated from rest in a uniform electric field of strength '$E$'. The velocity acquired by the electron when it travels a distance '$L$' is
The change in internal energy of the mass of a gas, when the volume changes from $V$ to $2V$ at constant pressure $P$ is ($\gamma = \text{Ratio of } C_p \text{ to } C_v$)
If the terminal speed of a sphere A [density $\rho_A = 7.5\text{ kg}\cdot\text{m}^{-3}$] is $0.4\text{ m/s}$ in a viscous liquid [density $\rho_L = 1.5\text{ kg}\cdot\text{m}^{-3}$], then the terminal speed of a sphere B [density $\rho_B = 3\text{ kg}\cdot\text{m}^{-3}$] of the same size in the same liquid is
Two spherical conductors of radii $4\text{ cm}$ and $5\text{ cm}$ are charged to the same potential. If '$\sigma_1$' and '$\sigma_2$' be the respective values of the surface density of charge on the two conductors then the ratio $\sigma_1 : \sigma_2$ is
In $n^{\text{th}}$ Bohr orbit, the ratio of the kinetic energy of an electron to the total energy of it, is
The emissive power of a sphere of area $0.04\text{ m}^2$ is $0.7\text{ kcal}\cdot\text{s}^{-1}\cdot\text{m}^{-2}$. The amount of heat radiated in 20 seconds is
In a potentiometer experiment, the balancing length for a cell is $240\text{ cm}$. On shunting the cell with a resistance of $2\ \Omega$, the balancing length becomes half the initial balancing length. The internal resistance of the cell is
Two satellites of same mass are launched in circular orbits at heights '$R$' and '$2R$' above the surface of the earth. The ratio of their kinetic energies is ($R = \text{radius of the earth}$)