HSC Science (General) 12th Standard Board Exam - Maharashtra State Board Important Questions for Physics

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

A stone of mass 5 kg. tied to one end of a rope of length 0.8 m, is whirled in a vertical circle. Find the minimum velocity at the highest point and at the midway point.

[g = 9.8 m/s²]

Let velocity of a sound wave be 'v' and 'ω' be angular velocity. The propagation constant of the wave is .................................

1. `sqrt(omega/v)`
2. `sqrt(v/omega)`
3. `omega/v`
4. `v/omega`

Two parallel plates separated by distance d are kept at potential difference V volt. A charge q of mass m enters in parallel plates with some velocity. The acceleration of the charged particle will be_____________________________ .

1. q V/d m
2. d m/ q V
3. q m/d V
4. d V/q m

A car of mass 1500Kg rounds a curve of radius 250m at 90 Km/hour. Calculate the centripetal force acting on it.

A particle of mass m, just completes the vertical circular motion. Derive the expression for the difference in tensions at the highest and the lowest points.

The Earth is rotating with angular velocity ω about its own axis. R is the radius of the Earth. If Rω² = 0 · 03386 m/ s² , calculate the weight of a body of mass 100 gram at latitude 25°.   (g=9·8m/s²).

Derive an expression for kinetic energy, when a rigid body is rolling on a horizontal surface without slipping. Hence find kinetic energy for a solid sphere.

For a particle performing uniform circular motion `vecv=vecomegaxxvecr`obtain an expression for linear acceleration of the particle performing non-uniform circular motion.

A stone of mass 1 kg is whirled in horizontal circle attached at the end of a 1 m long string. If the string makes an angle of 30^º with vertical, calculate the centripetal force acting on the stone.(g=9.8m/s²).

The bulging of earth at the equator and flattening at the poles is due to _______.

If the difference in velocities of light in glass and water is 2.7 x 10⁷ m/s, find the velocity of light in air. (Refractive index of glass = 1.5, Refractive index of water = 1.333)

When the angular acceleration of a rotating body is zero, which physical quantity will be equal to zero?

(A) Angular momentum

(B) Moment of inertia

(C) Torque

(D) Radius of gyration

Explain the concept of centripetal force.

A solid sphere of mass 1 kg rolls on a table with linear speed 2 m/s, find its total kinetic energy.

Obtain an expression for the torque acting on a rotating body with constant angular acceleration. Hence state the dimensions and SI unit of torque.

A vehicle is moving on a circular track whose surface is inclined towards the horizon at an angle of 10°. The maximum velocity with which it can move safely is 36 km / hr. Calculate the length of the circular track. [π = 3.142]

If the angular speed of the earth is 7.26 x 10^–5 rad/s and radius of the earth is 6,400 km,
calculate the change in weight of 1 kg of mass taken from equator to pole.

A body of mass ‘m’ performs uniform circular motion along a circular path of radius ‘r’ with velocity ‘v’. If its angular momentum is L, then the centripetal force acting on it is :

If a rigid body of radius ‘R’ starts from rest and rolls down an inclined plane of inclination
‘θ’ then linear acceleration of body rolling down the plane is _______.