List of top Questions asked in MHT CET- 2021

The wavelength of a spectral line of caesium is $460\text{ nm}$. What is the frequency of spectral line?
The frequency of a tuning fork is 'n' Hz and velocity of sound in air is 'V' m/s. When the tuning fork completes 'x' vibrations, the distance travelled by the wave is
A charge of magnitude '2e' and mass '4m' is moving in an electric field $\vec{E}$. The acceleration imparted to the above charge is
In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2m away from the lens. If wavelength of light used is 5000 $\text{A}^\circ$ then the distance between the first minimum on either side of the central maximum is ($\theta$ is small and measured in radian)
A spherical conducting shell of inner radius '$r_1$' and outer radius '$r_2$' has a charge 'Q'. A charge $-q$ is placed at the centre of the shell. The surface charge density on the inner and outer surface of the shell will be
For a monoatomic gas, work done at constant pressure is W. The heat supplied at constant volume for the same rise in temperature of the gas is
A disc of radius 0.4 m and mass one kg rotates about an axis passing through its centre and perpendicular to its plane. The angular acceleration of the disc is $10\ \text{rad/s}^2$. The tangential force applied to the rim of the disc is
When a photosensitive surface is irradiated by light of wavelengths '$\lambda_1$' and '$\lambda_2$', kinetic energies of emitted photoelectrons are '$E_1$' and '$E_2$' respectively. The work function of the photosensitive surface is
An inductor coil takes a current of 8 A when connected to a 100 V, 50 Hz a.c. source. A pure resistor under the same condition takes a current of 10 A. If the inductor coil and resistor are connected in series to a 100 V, 40 Hz a.c. supply, then the current in the series combination is
An electron (e) moves in a circular orbit of radius 'r' with uniform speed 'V'. It produces a magnetic field 'B' at the centre of the circle. The magnetic field B is ($\mu_0$ = permeability of free space)
The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is 'V'. For the satellite orbiting at an altitude of half the earth's radius, the orbital velocity is
The frequency of a given a.c. signal is 'N' Hz. When it is connected to a half wave rectifier, the number of output pulses given by the rectifier in 1 second is
A convex lens of focal length 'F' produces a real image 'n' times the size of the object. The image distance is
Two bodies rotate with kinetic energies 'E$_1$' and 'E$_2$'. Moments of inertia about their axis of rotation are 'I$_1$' and 'I$_2$'. If $I_1 = \frac{I_2}{3}$ and $E_1 = 27E_2$, then the ratio of angular momenta 'L$_1$' to 'L$_2$' is
Silicon and copper are cooled from 300 K to 100 K, the specific resistance (resistivity)
The depth 'd' below the surface of the earth where the value of acceleration due to gravity becomes $\left(\frac{1}{n}\right)$ times the value at the surface of the earth is ($R$ = radius of the earth)
A solid sphere of mass M, radius R has moment of inertia 'I' about its diameter. It is recast into a disc of thickness 't' whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains 'I'. Radius of the disc will be
Two wires of same material of radius 'r' and '2r' respectively are welded together end to end. The combination is then used as a sonometer wire under tension 'T'. The joint is kept midway between the two bridges. The ratio of the number of loops formed in the wires such that the joint is a node is
A ray of light travels from a denser medium to a rarer medium. The reflected and the refracted rays are perpendicular to each other. If 'r' and '$r_1$' are the angle of reflection and refraction respectively and 'C' is the critical angle, then the angle of incidence is
The force required to take away a flat circular plate of radius 2 cm from the surface of water is [Surface tension of water = $70 \times 10^{-3}\ \text{Nm}^{-1}$, $\pi = \frac{22}{7}$]
Specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_v$ respectively. If $\gamma = \frac{C_p}{C_v}$ and $R$ is the universal gas constant, then $C_v$ is equal to
An inductor coil wound uniformly has self inductance 'L' and resistance 'R'. The coil is broken into two identical parts. The two parts are then connected in parallel across a battery of 'E' volt of negligible internal resistance. The current through battery at steady state is
The weight of a man in a lift moving upwards with an acceleration 'a' is 620 N. When the lift moves downwards with the same acceleration, his weight is found to be 340 N. The real weight of the man is
A particle of mass 5 kg is executing S.H.M. with an amplitude 0.3 m and time period $\frac{\pi}{5}$ s. The maximum value of the force acting on the particle is
Consider the circuit shown in the figure. The value of current 'I' is