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

A sample of radioactive element contains 8 × 10¹⁶ active nuclei. The half-life of the element is 15 days. The number of nuclei decayed after 60 days is ______.

An a.c. source of variable frequency 'f' is connected to an LCR series circuit. Which one of the graphs represent the variation of current 'I' in the circuit with frequency 'f'?

A circular arc of radius 'r' carrying current 'I' subtends on angle `pi/16` at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is ____________.

A mercury drop of radius 'R' is divided into 27 droplets of same size. The radius 'r' of each droplet is ______.

When a mercury drop of radius 'R', breaks into 'n' droplets of equal size, the radius 'r' of each droplet is ______.

Let 'R₁' and 'R₂' are radii of two mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is ______.

The LCR series and parallel resonant circuits are respectively called as ____________.

On supplying 100 µC of charge to a conductor, its potential rises by 5 V then capacity of the conductor is ______.

The molar specific heat of an ideal gas at constant pressure and constant volume is 'C_p' and 'C_v' respectively. If 'R' is the universal gas constant and the ratio 'C_p' to 'C_v' is 'γ' then C_V = ______.

The ratio of the specific heats `c_"p"/c_"v"=gamma` in terms of degrees of freedom 'n' is given by ______.

A pipe closed at one end produces a fundamental note of frequency 'v'. It is cut into two pipes of equal length. The fundamental frequencies produced in the two pipes are ______.

If the length and diameter of a wire are decreased, then for the same tension the natural frequency of stretched wire will ______.

In melde's experiment, when the tension decreases by 0.009 kg-wt, the number of loops changes from 4 to 5. The initial tension is ______.

The equation of stationary wave on a string clamped at both ends and vibrating in the third harmonic is given by y = 0.5 sin (0.314 x) cos (600 πt), where x and y are in cm and t in second. The length of the vibrating string is ______
(π = 3.14) 

The air column in an organ pipe closed at one end is made to vibrate so that there are 2 nodes and antinodes each. The mode of vibration is called ______ 

A wire of length 'L' carries current 'I' along the x-axis, A magnetic field B = B₀ `(hat "i" - hat "j" - hat "k")` T acts on the wire. The magnitude of the magnetic force acting on the wire is ____________.

Two concentric circular coils having radii r₁ and r₂, (r₂ << r₁) are placed co-axially with centers coinciding. The mutual induction of the arrangement is (Both coils have a single turn) (µ₀ = permeability of free space).

The maximum kinetic energy of a simple pendulum is 'K'. Its displacement in terms of amplitude 'a', when kinetic energy becomes `(K/2)` is ______.

Two concentric circular coils of 'n' turns each are situated in the same plane. Their radii are 'a₁' and 'a₂' (a₂ > a₁) and they carry currents 'I₁' and 'I₂' respectively (I₁> I₂) in opposite direction. The magnetic field at the centre is ____________.

The molar specific heats of an ideal gas at constant pressure and volume are denoted by C_p and C_v, respectively. If `gamma = "C"_"p"/"C"_"v"` and R is the universal gas constant, then C_v is equal to ______.