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

In the circuit shown, the potential difference across the 4.5 µF capacitor is ______.

Two waves are given as y₁ = 10 sin ωt cm and y₂ = 10 sin `(omegat + pi/3)` cm are superimposed. What is the amplitude of the resultant wave? `[cos  pi/3 = 1/2]`

What should be the length of a closed pipe to produce resonance with a sound wave of wavelength 62 cm, in fundamental mode? Neglect end correction.

The bob of a simple pendulum is released at time t = 0 from a position of small angular displacement. Its linear displacement is ______.

(l = length of simple pendulum and g = acceleration due to gravity, A = amplitude of S.H.M.)

A block of mass 16 kg moving with velocity 4 m/s on a frictionless surface compresses an ideal spring and comes to rest. If force constant of the spring is 100 N/m then how much will be the spring compressed?

Which graph shows the variation of magnetic susceptibility (`chi`) with magnetizing field (H) for a paramagnetic substance?

The displacement of the particle performing S.H.M. is given by x = 4 sin πt, where x is in cm and t is in second. The time taken by the particle in second to move from the equilibrium position to the position of half the maximum displacement, is ______.

`[sin30^circ=cos60^circ=0.5, cos30^circ=sin60^circ=sqrt3/2]`

The displacement of a particle in S.H.M. is x = A cos `(omegat+pi/6).` Its speed will be maximum at time ______.

The displacements of two particles executing simple harmonic motion are represented as y₁ = 2 sin (10t + θ) and y₂ = 3 cos 10t. The phase difference between the velocities of these waves is ______.

A body perform linear simple harmonic motion of amplitude 'A'. At what displacement from the mean position, the potential energy of the body is one fourth of its total energy?

A wire of length 50 cm moves with a velocity of 300 m/min, perpendicular to a magnetic field. If the e.m.f. induced in the wire is 2 V, the magnitude of the field in tesla is ______.

Potential energy as a function of r is given by U =  `"A"/"r"^10-"B"/"r"^5`, where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be ______.

A pure semiconductor has equal electron and hole concentration of 10¹⁶ m^-3. Doping by indium increases nh to 5 × 10²² m^-3. Then, the value of n_e in the doped semiconductor is ______.

A long straight wire in the horizontal plane carries a current of 75 A in north of south direction, magnitude and direction of field B at a point 3 m east of the wire is ______.

A transverse wave is represented by y = A sin (ωt - kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

If `vec"A"=3hat"i"-2hat"j"+hat"k",vec"B"=hat"i"-3hat"j"+5hat"k" and vec"C"=2hat"i"+hat"j"-4hat"k"` form a right angled triangle then out of the following which one is satisfied?

Magnetic susceptibility for a paramagnetic and diamagnetic materials is respectively ______.

A bomb at rest explodes into 3 parts of the same mass. The momentum of the two parts is `-3"P"hat"i"` and `2"P"hat"J"` respectively. The magnitude of the momentum of the third part is ______.

A particle is performing SHM starting extreme position, graphical representation shows that between displacement and acceleration there is a phase difference of ______.

A particle performs linear SHM at a particular instant, velocity of the particle is 'u' and acceleration is a while at another instant velocity is 'v' and acceleration is 'β (0 < α < β). The distance between the two position is ______.