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

For a particle executing SHM the displacement x is given by x = A cos ωt. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x.

The period of oscillation of a magnet in a vibration magnetometer is 2 sec. The period of oscillation of a magnet whose magnetic moment is four times that of the first magnet is ______.

A light rod of length 2m suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight W is hung from a light rod as shown in figure.

The rod hung by means of a steel wire of cross-sectional area A₁ = 0.1 cm² and brass wire of cross-sectional area A₂ = 0.2 cm². To have equal stress in both wires, T₁/T₂ = ______.

Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is ______.

For a particle performing linear S.H.M., its average speed over one oscillation is ______. (a = amplitude of S.H.M., n = frequency of oscillation)

In a photocell, frequency of incident radiation is increased by keeping other factors constant (v > v₀), the stopping potential ______.

If the electron in hydrogen atom jumps from second Bohr orbit to ground state and difference between energies of the two states is radiated in the form of photons. If the work function of the material is 4.2 eV, then stopping potential is ______.

[Energy of electron in nth orbit = `-13.6/"n"^2` eV ]

The equation of the progressive wave is y = 3sin `[ pi("t"/3-x/5) + pi/4]`, where x and y are in metre and time in second. Which of the following is correct?

On a photosensitive material when frequency of incident radiation is increased by 30%, kinetic energy of emitted photoelectrons increases from 0.4 eV. The work function of the surface is ______.

Light of wavelength λ, which is less than threshold wavelength is incident on a photosensitive material. If incident wavelength is decreased so that emitted photoelectrons are moving with same velocity, then stopping potential will ______.

A progressive wave is represented by y = 12 sin (5t - 4x) cm. On this wave, how far away are the two points having phase difference of 90°?

The following graphs show the variation of stopping potential corresponding to the frequency of incident radiation (ν) for a given metal. The correct variation is shown in graph [ν₀ = threshold frequency].

In a compound microscope, let u₀ and v₀ be the object distance and image distance respectively. The objective of focal length f₀ magnifies a tiny object into a real, inverted image. The linear magnification of the objective is ______.

Light of two different frequencies whose photons have energies 1.3 eV and 2.8 eV respectively, successfully illuminate a metallic surface whose work function is 0.8 eV. The ratio of maximum speeds of emitted electrons will be ______.

A beam of light passes from medium 1 to medium 2 to medium 3 as shown in the diagram. What may be concluded about the three refractive indices n₁, n₂ and n₃?

Photoelectric emission is observed from a metallic surface for frequencies ν₁ and ν₂ of the incident light rays (ν₁ > ν₂). If the ratio of the maximum value of the kinetic energy of the photoelectrons emitted in the first case to that in the second case is 2 : K, then the threshold frequency of the metallic surface is ______.

The photoelectric threshold for a certain metal surface is 3600 Å. If the metal surface is irradiated by a wavelength of 1100 Å, then kinetic energy of the emitted photoelectrons is ______.

The stress-strain graph of a material is shown in the figure. The region in which the material is elastic is ______.

Which of the following expression represents the relation between orbital magnetic moment and orbital angular momentum of an electron?

A bar magnet of magnetic moment M₁ is cut into two pieces along its axis. The pieces are kept perpendicular to each other with their unlike poles in contact. The magnetic moment of the arrangement is M₂. The ratio of M₁/M₂ is ______.