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

The two waves are represented by Y₁ = `10-2 sin [50"t" + x/25 + 0.3]`m and Y₂ = `10^-2 cos [50"t" + x/25]`m where x is in metre and time in second. The phase difference between the two waves is nearly _________.

The susceptibility of a magnetic material is positive and small. The material is ______.

The magnetic susceptibility of a paramagnetic material at - 73 °C is 0.0075. Its value at -173 °C will be ______.

All atoms of a magnetic substance have a resultant magnetic moment even in absence of external magnetic field. The substance is ______.

Magnetization of the sample is ______.

Magnetic material can be easily magnetized if magnetic susceptibility is ______.

If a magnetic field is applied to a liquid in one arm of a narrow U-tube, the liquid level in that arm is lowered. The liquid in U-tube arm is ______.

Two waves are represented by the equations `"y"_1, = "a sin" (omega"t"+ "kx" + 0.57)` m and `"y"_2, = "a cos" (omega"t"+ "kx")` m, where x is in metre and t in second. The phase difference between them is ____________.

The distance covered by a particle undergoing SHM in one time period is (amplitude = A) ____________.

Which of the following represents the acceleration versus displacement graph of SHM?

A particle executing S.H.M. has amplitude 0.01 m and frequency 60 Hz. The maximum acceleration of the particle is ____________.

The electric potential V at any point O (x, y, z all in metres) in space is given by V = 4x² volt. The electric field at the point (1 m, 0, 2m) in volt/metre is ____________.

Relative permittivity and permeability of a material are  `epsilon_"r"` and `µ_"r"` respectively. Which of the following values of these quantities are allowed for a diamagnetic material?

A sonometer wire resonates with a given tuning fork forming standing wave with 5 antinodes between two bridges when mass of 9 kg is suspended from the wire. When mass 'M' is suspended from the wire, with same fork and same length between two bridges 3 antinodes are formed. Mass M is ______.

A body of mass 5 g is in S.H.M. about a point with amplitude 10 cm. Its maximum velocity is 100 cm/s. Its velocity will be 50 cm/s at a distance of, ____________.

The amplitude of a wave represented by equation `"y" = 1/(sqrt"a")  "sin"  omega"t" pm 1/(sqrt"b") "cos"  omega"t"` will be ____________.

In a semiconductor, the number of holes and number of free electrons are represented as 'n_h' and 'n_e' respectively. Which one of the following statements is TRUE for the semiconductor?

The displacement of a particle is 'y' = 2 sin `[(pit)/2 + phi]`, where 'y' is cm and 't' in second. What is the maximum acceleration of the particle executing simple harmonic motion? 

(Φ = phase difference)

The maximum speed of a particle in S.H.M. is 'V'. The average speed is ______ 

The length of the second's pendulum is decreased by 0.3 cm when it is shifted from place A to place B. If the acceleration due to gravity at place A is 981 cm/s², the acceleration due to gravity at place B is ______ (Take π² = 10)