HSC Science (General) १२ वीं कक्षा - Maharashtra State Board Important Questions

Within the elastic limit, find the work done by a stretching force on a wire.

Define linear simple harmonic motion.

Two wires of the same material have radii rA and rB respectively. The radius of wire A is twice the radius of wire B. If they are stretched by same load then stress on wire B is _______.

The S.I. unit of compressibility is __________.

Answer in brief:

Derive an expression for the period of motion of a simple pendulum. On which factors does it depend?

A particle executing linear S.H.M. has velocities v₁ and v2 at distances x₁ and x₂ respectively from the mean position. The angular velocity of the particle is _______

The compressibility of a substance is the reciprocal of _________.

(a) Young’s modulus

(b) bulk modulus

(c) modulus of rigidity

(d) Poisson's ratio

A particle performing linear S.H.M. has the maximum velocity of 25 cm/s and maximum acceleration of 100 cm/ m². Find the amplitude and period of oscillation. (π = 3.142)

The length of the second’s pendulum in a clock is increased to 4 times its initial length. Calculate the number of oscillations completed by the new pendulum in one minute.

State Hooke’s law. Define the elastic limit and modulus of elasticity.

From differential equation of linear S.H.M., obtain an expression for acceleration, velocity and displacement of a particle performing S.H.M.

A body of mass 1 kg is mafe to oscillate on a spring of force constant 16 N/m. Calculate (a) Angular frequency, (b) Frequency of vibrations.

Obtain the expression for the period of a simple pendulum performing S.H.M.

A particle performing linear S.H.M. of period 2π seconds about the mean position O is observed to have a speed of `"b" sqrt3` m/s, when at a distance b (metre) from O. If the particle is moving away from O at that instant, find the time required by the particle, to travel a further distance b.

Answer in brief.

Using differential equations of linear S.H.M, obtain the expression for (a) velocity in S.H.M., (b) acceleration in S.H.M.

At what distance from the mean position is the speed of a particle performing S.H.M. half its maximum speed. Given the path length of S.H.M. = 10 cm.

In SI units, the differential equation of an S.H.M. is `(d^2x)/(dt^2)` = − 36x. Find its frequency and period.

A particle is moving in a circle with uniform speed. Its motion is ______ 

Acceleration of a particle executing S.H.M. at its mean position.

Two S.H.M.’s have zero phase difference and equal amplitudes A. The resultant amplitude on their composition will be ______