MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

The surface tension of soap solution is 25 × 10^-3 Nm^-1. The excess of pressure inside a soap bubble of diameter 1 cm is ______.

The half-life of a radioactive substance is 10 days. The time taken for the `(7/8)^"th"` of the sample of disintegrates is ______.

In most liquids, with the rise in temperature, the surface tension of a liquid ______.

A spherical liquid drop of radius R is divided into eight equal droplets. If surface tension is T, then the work done in this process will be ______.

The pendulum bob has a speed of 3 ms^-1 at its lowest position and the length of the pendulum is 0.5 m. The speed of the bob when the length of the pendulum makes an angle of 60° with the vertical will be ______.

Two weights w₁ and w₂ are suspended from the ends of light string over a smooth fixed pulley. If the pulley is pulled up with acceleration g, the tension in the string will be ______.

The graph obtained by plotting log_e (A) [A is the activity of a radioactive sample] against t (time) out of the following is:

A uniform metal rod is used as a bar pendulum. If the room temperature rises by 10°C and coefficient of linear expansion of the metal of the rod is 2 × 10⁶ °C^-1, the period of pendulum will increased by ______.

An α-particle of energy 10 eV is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be [mass of α-particle = 4 times mass of proton]

A step-up transformer has 300 turns of primary winding and 450 turns of secondary winding. A primary is connected to 150 V and the current flowing through it is 9A. The current and voltage in the secondary are 

Two radioactive materials X₁ and X₂ have decay constants 10λ and λ respectively. If initially, they have the same number of nuclei, then the ratio of the number of nuclei of X₁ to that of X₂ will belie after a time.

A current I flows along the length of an infinitely long, straight, and thin-walled pipe. Then ______

In case of a liquid which does not wet a solid surface, the force of adhesion ______

Ampere's law is analogous to ______

A bullet of mass m moving with velocity v is fired into a wooden block of mass M, If the bullet remains embedded in the block, the final velocity of the system is ____________.

A radioactive element disintegrates for an interval of time equal to its mean lifetime. The fraction that has disintegrated is ______

When a particle carrying a charge of 100 µC moves at an angle of 30° to a uniform magnetic field of induction 6 x 10^-5 Wb/m² with a speed of 2 x 10⁵ m/s. The force acting on the particle is ______

A stone of mass 1 kg is tied to a string 2m long and it's rotated at constant speed of 40 ms- 1 in a vertical circle. The ratio of the tension at the top and the bottom is ______.
[Take g = 10 ms^-2]

Which one of the following nuclei has shorter meant life?

The output power in step-up transformer used in practice is ______.