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

When unpolarised light is passed through crossed polaroids, then light passing through the first polaroid ______

An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct?

In hydrogen atom, during the transition of electron from n^th outer orbit to first Bohr orbit, a photon of wavelength `lambda` is emitted. The value of 'n' is [R =Rydberg's constant] ____________.

When an electron in hydrogen atom jumps from third excited state to the ground state, the de-Broglie wavelength associated with the electron becomes ____________.

Using Bohr's quantization condition, what is the rotational energy in the second orbit for a diatomic molecule. (I = moment of inertia of diatomic molecule, h = Planck's constant)

The de-Broglie wavelength of an electron in 4^th orbit is ______.

(r = radius of 1^st orbit)

In any Bohr orbit of hydrogen atom, the ratio of K.E to P.E of revolving electron at a distance 'r' from the nucleus is ______.

When an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength 'λ'. When it jumps from the fourth orbit to third orbit, the wavelength emitted by the photon will be ______.

Electron in Hydrogen atom first jumps from third excited state to second excited state and then from second excited state to first excited state. The ratio of the wavelengths λ₁ : λ₂ emitted in the two cases respectively is ______.

The electron of mass 'm' is rotating in first Bohr orbit of radius 'r' in hydrogen atom. The orbital acceleration of the electron in first orbit is ______.

(b =Planck's constant)

The radius of orbit of an electron in hydrogen atom in its ground state is 5.3 x 10^-11 m After collision with an electron, it is found to have a radius of 13.25 x 10^-10 m. The principal quantum number n of the final state of the atom is ______.

The volume of a metal block changes by 0.86% when heated through 200 °C then its coefficient of cubical expansion is ______.

If V_n and Vp are orbital velocities in n^th and p^th orbit respectively, then the ratio V_p: V_n is ______.

The relation between magnetic moment of revolving electron 'M' and principle quantum number 'n' is ______.

The angle of polarization for a medium is 60°. The critical angle for this will be ______
`(tan 60^circ = sqrt3)`

The ground state energy of the hydrogen atom is -13.6 eV. The kinetic and potential energy of the electron in the second excited state is respectively ______ 

The momentum of an electron revolving in n^th orbit is given by ______.

The Q-value of a nuclear reaction and kinetic energy of the projectile particle, K_P are related as ______.

A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is ______.

A solid metallic cube having a total surface area of 24 m² is uniformly heated. If its temperature is increased by 10°C, calculate the increase in the volume of the cube.

(Given: α = 5.0 × 10^-4°C^-1)