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

A straight wire of length 50 cm carrying a current of 6 A is suspended in mid-air by a uniform magnetic field of 0.4 T (as shown in figure). The mass of the wire is ______.

(g = 10` "ms"^-2`)

A straight conductor of length 2 m moves in a uniform magnetic field of induction 2.5 x `10^-3` T with a velocity. of 4 m/s in a direction perpendicular to its length and also perpendicular to the field. The e.m.f. induced between the ends of the conductor is ______.

A straight wire of length 0.5 m and carrying current of 1.2A is placed in a uniform magnetic field of induction 2T. The magnetic field is perpendicular to the length of the wire. What is the force acting on the wire? sin 90° = 1

Intensities of two interfering waves are I₀ and 9I₀. The resultant intensity at a point at which waves meet with a phase difference of `pi/3` radian is ______.

Answer the following question regarding earth’s magnetism:

The angle of dip at a location in southern India is about 18°. Would you expect a greater or smaller dip angle in Britain?

A body is executing S.H.M. Its potential energy is E₁ and E₂ at displacements x and y respectively. The potential energy at displacement (x + y) is ______.

A simple pendulum of length 'L' is suspended from a roof of a trolley. A trolley moves in horizontal direction with an acceleration 'a'. What would be the period of oscillation of a simple pendulum?

(g is acceleration due to gravity)

Two waves are represented by y₁ = a sin `(omega"t" + pi/6)` and y₂ = a cos `omega"t"`. What will be their resultant amplitude?

A capacitor C₁ = 4µF is connected is series with another capacitor C₂ = 1µF. The combination is connected across d.c. source of 200 V. The ratio of potential across C₂ to that across C₁ is ______.

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?

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 ______.