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

Two spherical rain drops reach the surface of the earth with terminal velocities having ratio 16 : 9. The ratio of their surface area is ______.

Water rises upto a height h in a capillary tube on the surface of the earth. The value of h will increase, if the experimental setup is kept in [g = acceleration due to gravity]

If the surface tension of a soap solution is 3 × 10^-2 N/m then the work done in forming a soap film of 20 cm × 5 cm will be ______.

A bob of a simple pendulum has mass m and is oscillating with an amplitude a. If the length of the pendulum is L, then the maximum tension in the string is [cos 0° = 1, g = acceleration due to gravity]

Work done in stretching a wire through 1 mm is 2 J. What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross-section, by 1 mm?

Two coils P and Q are kept near each other. When no current flows through coil P and current increases in coil Q at the rate 10 A/s, the e.m.f. in coil P is 20 mV. When coil Q carries no current and current of 1.6 A flows through coil P, the magnetic flux linked with the coil Q is ____________.

The magnitude of the magnetic induction at a point on the axis at a large distance (r) from the centre of a circular coil of 'n' turns and area 'A' carrying current (l) is given by ______.

A simple pendulum has a time period T₁ when on the earth's surface and T₂ when taken to a height R above the earth's surface, where R is the radius of the earth. The value of T₂ / T₁ is ______.

Two pendulums begin to swing simultaneously. The first pendulum makes nine full oscillations when the other makes seven. The ratio of the lengths of the two pendulums is ______.

The dimensions of self or mutual inductance are given as ______.

A circular coil of wire consisting of 100 turns each of radius 9 cm carries a current of 0.4 A. The magnitude of the magnetic field at the centre of coil is ______. [µ₀ = 12.56 × 10^-7 SI Unit]

Two light balls are suspended as shown in figure. When a stream of air passes through the space between them, the distance between the balls will ______.

The excess of pressure, due to surface tension, on a spherical liquid drop of radius 'R' is proportional to ______.

The natural frequency of an LC circuit is 125 kHz. When the capacitor is totally filled with a dielectric material, the natural frequency decreases by 25 kHz. Dielectric constant of the material is nearly.

In mutual induction, the main current remains same because ____________.

The period of simple pendulum is measured as T in a stationary lift. If the lift moves upward with an acceleration of 5 g, the period will ____________.

A block of mass 200 g moving in x direction with a constant speed of 30 ms^-1, is subjected to a retarding force F = 0.1x J/m during its travel from x = 10 m to 20 m. Its final KE will be ____________.

In an induction coil, the coefficient of mutual inductance is 6 henry. If a current of 10 ampere in the primary coil is cut-off in `1/1500"s"`, the e.m.f. at the terminals of the secondary coil will be ____________.

An ideal gas is expanded isothermally from volume V₁ to volume V₂ and then compressed adiabatically to original volume V₁. If the initial pressure is P₁, the final pressure is P₃ and net work done is W, then ____________.

Most excited states of an atom have life times of about ____________.