HSC Science (Computer Science) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Derive an expression for ratio of e.m.f.s and currents in terms of number of turns in primary and secondary coil.

Determine the change in wavelength of light during its passage from air to glass. If the refractive index of glass with respect to air is 1.5 and the frequency of light is 3.5 x 10¹⁴ Hz, find the wave number of light in glass.

[Velocity of light in air c = 3 x 10⁸ m/s]

In biprism experiment, 10th dark band is observed at 2.09 mm from the central bright point on the screen with red light of wavelength 6400 A. By how much will fringe width change if blue light of wavelength 4800A is used with the same setting?

State the theorem of perpendicular axes about moment of inertia.

Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to ______.

The power radiated by linear antenna of length T is proportional to........................

(λ= wavelength)

1. `lambda/ l`
2. `[lambda/l]^2`
3. `l/lambda`
4. `[l/lambda]^2`

Describe biprism experiment to calculate the wavelength of a monochormatic light. Draw the necessary ray diagram.

State an expression for the moment of intertia of a solid uniform disc, rotating about an axis passing through its centre, perpendicular to its plane. Hence derive an expression for the moment of inertia and radius of gyration:

i. about a tangent in the plane of the disc, and

ii. about a tangent perpendicular to the plane of the disc.

The pressure (P) of an ideal gas having volume (V) is 2E/3V , then the energy E is _______.

Draw a neat labelled diagram of conical pendulum. State the expression for its periodic time in terms of length.

Determine the binding energy of satellite of mass 1000 kg revolving in a circular orbit around the Earth when it is close to the surface of Earth. Hence find kinetic energy and potential energy of the satellite. [Mass of Earth = 6 x 10²⁴ kg, radius of Earth = 6400 km; gravitational constant G = 6.67 x 10-11 Nm² /kg2 ]

In biprism experiment two interfering waves are produced due to division of _______.

In a biprism experiment, when a convex lens was placed between the biprism and eyepiece at a distance of 30 cm from the slit, the virtual images of the slits are found to be separated by 7 mm. If the distance between the slit and biprism is 10 cm and between the biprism and eyepiece is 80cm, find the linear magnification of the image.

Derive an expression for maximum work in isothermal reversible expansion of two moles of an ideal gas.

Find the total energy and binding energy of an artificial satellite of mass 800 kg orbiting at a height of 1800 km above the surface of the earth.

[G = 6.67 x 10^-11 S.I. units, Radius of earth : R = 6400 km, Mass of earth : M = 6 x 10²⁴ kg]

In a biprism experiment, a slit is illuminated by a light of wavelength 4800 Å The distance between the slit and biprism is 15 cm and the distance between the biprism and eyepiece is 85 cm. If the distance between virtual sources is 3 mm, determine the distance between 4th bright band on one side and 4th dark band on the other side of the central bright band.

A red light of wavelength 6400A° in air has wavelength 4000A° in glass. If the wavelength of violet light in air is 4400A°, find its wavelength in glass.

(Assume that μ_r ≈ μ_v)

Prove the theorem of parallel axes about moment of inertia

State Brewster's law.

The buckling of a beam is found to be more if ___ .

(a) the breadth of the beam is large.

(b) the beam material has large value of Young's -modulus.

(c) the length of the beam is small.

(d) the depth of the beam is small.·