HSC Science (General) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Prove the theorem of perpendicular axes about the moment of inertia.

In a double-slit experiment using monochromatic light, the fringe pattern shifts by a certain distance on the screen when a mica sheet with a refractive index of 1.6 and thickness of 1.964 µm covers one of the slits. The mica sheet is then removed and the slits-to-screen distance is doubled so that the new fringe width is the same as the observed fringe shift with the mica sheet. Calculate the wavelength of the monochromatic light used.

The law of equipartition of energy is valid for ______.

A resistance of 3Ω is connected in parallel to a galvanometer of resistance 297Ω. Find the fraction of current passing through the galvanometer.

A ray of light is incident on a water surface of refractive index `4/3` making an angle of 40° with the surface. Find the angle of refraction.

Explain how nuclear size of an atom is estimated.

When a monochromatic light passes through a slit 0.2 mm wide and falls on a screen 3.5 m away, the first minimum of the diffraction pattern is 9.1 mm from the centre of the central maximum. The wavelength of the light is ______.

What is mean by Hydrostatic paradox?

Show that force on a closed circuit in a magnetic field is zero.

Derive an expression for potential energy of a system of two point charges.

Obtain an expression for potential energy of a system of N point charges.

With the help of a neat labelled diagram, obtain an expression for the induced emf in a stationary coil in a changing magnetic field.

Define the term Nucleons.

A voltmeter has a range of 0 - 20 V and a resistance of 500 Q. Explain how can be used to measure voltages from 0 - 200 volt?

To convert a moving coil galvanometer into an ammeter we need to connect a ______.

Obtain an expression for e.m.f. induced in a coil rotating with uniform angular velocity in a uniform magnetic field. Show graphically the variation of e.m.f. with time (t).

Resistance of a potentiometer wire is 0.1Ω/cm. A cell of e.m.f 1.5V is balanced at 300 cm on this potentiometer wire. Calculate the current and balancing length for another cell of e.m.f. 1.4V on the same potentiometer wire.

A coil of 100 turns, each of area 0.02m² is kept in a uniform field of induction 3.5 x10^-5 T. If the coil rotates with a speed of 6000 r.p.m. about an axis in the plane of the coil and perpendicular to the magnetic induction, calculate peak value of e.m.f. induced in the coil.

Wavelengths of two notes in the air are`[70/153]^m` and `[70/157]^m`. Each of  these notes produces 8 beats per second with a tuning fork of fixed frequency. Find the velocity of sound in the air and frequency of the tuning fork.

State the law of conservation of angular momentum and explain with a suitable example.

Derive an expression for the total energy of electron in ‘n' th Bohr orbit. Hence show that energy of the electron is inversely proportional to the square of principal quantum number. Also define binding energy.