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

A series R-C circuit is connected to an alternating voltage source. Consider two situations:

(i) When capacitor is air filled.

(ii) When capacitor is mica filled.

Current through resistor is i and voltage across capacitor is V then:

An ideal gas is made to go from a state A to stale B in the given two different ways (see figure) (i) an isobaric and then an isochoric process and (ii) an isochoric and then an isobaric process. The work done by gas in the two processes are W₁ and W₂ respectively. Then,

If a pendulum which gives correct time beats second on ground at a certain place is moved to the top of a tower 320 m high, then the loss of time of the pendulum clock in one day, in second, is ______.

One mole of an ideal gas with `gamma` = 1.4 is adiabatically compressed so that its temperature rises from 27° C to 47° C. The change in the internal energy of the gas is (R = 8.3 J/mol.K) ____________.

Two simple pendulums A and B are made to oscillate simultaneously and it is found that A completes 10 oscillations in 20 sec and B completes 8 oscillations in 10 sec. The ratio of the lengths of A and B is ____________.

Figure show the circular coil carrying current I kept very close but not touching at a point A on a straight conductor carrying the same current l. The magnitude of magnetic induction at the centre of the circular coil will be.

A person measures a time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration `("g"/3)`, the time period of the pendulum will be ______.

Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically. Work done is ____________.

In which of the following processes, beat is neither absorbed nor released by a system?

A large number of liquid drops each of radius 'r' coalesce to form a big drop of radius 'R'. The energy released in the process in converted into kinetic energy of the big drop. The speed of the big drop is ______. (T = surface tension of liquid, p = density of liquid)

An ideal gas A and a real gas B have their volumes increased from V to 2V under isothermal conditions. The increase in internal energy ____________.

The frequency of an alternating current is 5O Hz. What is the minimum time taken by current to reach its peak value from rms value?

A pendulum performs S.H.M. with period `sqrt3` second in a stationary lift. If lift moves up with acceleration `"g"/3`, the period of pendulum is ______. (g = acceleration due to gravity)

A simple pendulum has length 'L₁'. When its amplitude is 'a' cm, its energy is 'E₁'. When length is 2L₁, its energy is 'E₂' Amplitude is same for both the lengths The relation between E₁ and E₂ is ______.

A current I = 10 sin (50 π t) ampere is passed in the first coil which induces a maximum e.m.f. of 5 π volt in the second coil. The mutual inductance between the coils is ______.

A circular coil of resistance 'R', area 'A', number of turns 'N' is rotated about its vertical diameter with angular speed 'ω' in a uniform magnetic field of induction 'B'. The average power dissipated in a complete cycle is ______.

A molecule of water on the surface experiences a net ______.

An alternating current of frequency 200 rad/s and peak value 1 A is applied to the primary of a transformer. If the coefficient of mutual induction between the primary and the secondary is 1.5H, then the voltage induced in the secondary will be approximately (π = 2217)

A coil of radius 'r' is placed on another coil (whose radius is 'R' and current flowing through it is changing) so that their centres coincide. (R>>r) if both the coils are coplanar then the mutual inductance between them is proportional to ______.

For an isothermal expansion of a perfect gas, the value of `(Delta "P")/"P"` is equal to ____________.