List of top Questions asked in MHT CET- 2025

An electron moves in Bohr orbit. The magnetic field at the centre is proportional to

A simple pendulum oscillates with an angular amplitude \( \theta \). If the maximum tension in the string is 4 times the minimum tension then the value of \( \theta \) is

An alternating e.m.f. having voltage \( V = V_0 \sin \omega t \) is applied to a series L-C-R circuit. Given \( X_L - X_C = R \), the r.m.s. value of the potential difference across the capacitor will be

A Carnot engine has efficiency \( \frac{1}{3} \). It becomes \( \frac{1}{3} \), when the temperature of sink is lowered by 57 K. The temperature of the source is

Hot water cools from 80°C to 60°C in 1 minute. In cooling from 60°C to 50°C it will take (room temperature = 30°C)

An ideal inductor of \( \frac{1}{2} \, \text{H} \) is connected in series with a \( 300 \, \Omega \) resistor. If a 20 V, 200 Hz alternating source is connected across the combination, the phase difference between the voltage and current is

Two capillary tubes of same diameter are kept vertically in two liquids whose densities are in the ratio \( 4:3 \). If their surface tensions are in the ratio \( 6:5 \), the ratio of heights \( \left( \frac{h_1}{h_2} \right) \) of liquids in the two capillary tubes is (Their angle of contacts are same)

A coil having 9 turns carrying current produces magnetic field \( B_1 \) at the centre. Now that coil is rewound into 3 turns carrying same current. Then magnetic field at the centre \( B_2 \) is

A conveyor belt is moving with constant velocity \( V \). Sand is being dropped on the belt at the rate of \( M \, \text{kg/s} \). The force necessary to keep the belt moving with a constant velocity \( V \, \text{m/s} \) will be

According to Huygen’s wave theory of light, which one of the following statements is not correct?

When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are \( V_1 \) and \( V_2 \) respectively. The ratio \( V_1 : V_2 \) is

In air, a charged soap bubble of radius \( R \) breaks into 64 small soap bubbles of equal radius \( r \). The ratio of mechanical force per unit area of big soap bubble to that of a small bubble is

A coil is wound on a core of rectangular cross section. If all the linear dimensions of core are increased by a factor 3 and number of turns per unit length of coil remains same, the self inductance increases by a factor

A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered by the body in the \( n^{th} \) second of its motion to the total distance travelled in \( n \) seconds is

A ray of light travelling through rarer medium is incident at a very small angle \( \theta \) on a glass slab and after refraction its velocity is reduced by 20%. The angle of deviation is

A body is rotating about its own axis. Its rotational kinetic energy is \( x \) and its angular momentum is \( y \). Hence its moment of inertia about its own axis is

Using Bohr's quantization condition, the rotational kinetic energy in the third orbit for a diatomic molecule is \( \left( h = \text{Planck's constant}, I = \text{moment of inertia of diatomic molecule} \right) \)

The space within the current carrying toroid is filled with aluminium of susceptibility \( \chi \). The percentage increase in the magnetic field \( B \) will be

The radii of circular orbits of two satellites \( A \) and \( B \) of the earth are \( R \) and \( R' \) respectively, where \( R \) is the radius of the earth. If the speed of satellite \( B \) is 6 V, then the speed of satellite \( A \) will be

The two coherent sources produce interference with intensity ratio 'b'. In the interference pattern, the ratio \[ \frac{I_{\text{max}}}{I_{\text{min}}} \] will be

The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is \( I \). It is rotating with angular velocity \( \omega \). Another identical ring is gently placed on it so that their centres coincide. If both the rings are rotating about the same axis, then loss in kinetic energy is

A unit vector in the direction of resultant vector of \[ \mathbf{A} = -2\hat{i} + 3\hat{j} + \hat{k}, \quad \mathbf{B} = \hat{i} + 2\hat{j} - 4\hat{k} \] is

In the circuit shown in the figure, \( P \neq R \). The reading of the galvanometer remains the same with switch \( S \) open or closed. Then

Error in the measurement of radius of the sphere is 2%. The error in the calculated value of its volume is

In a culture, the bacteria count is 1,00,000 initially. The number increases by 10% in the first 2 hours. In how many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present?