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

A wheel of moment of inertia 2 kg m² is rotating at a speed of 25 rad/s. Due to friction on the axis, it comes to rest in 10 minutes. Total work done by friction is ______.

Consider a simple pendulum of length 4 m. Its bob performs a circular motion in horizontal plane with its string making an angle 60° with the vertical. The Period of rotation of the bob is ____________.(Take g = 10 m/s²)

A wheel is 0.25 m in radius. When it makes 15 revolutions per minute, its linear speed at the point on circumference is ____________.

A parallel plate condenser is immersed in an oil of dielectric constant 2. The field between the plates is ______.

Select the WRONG statement.

A body of mass ·m' is moving along a circle of radius 'r' with linear speed 'v'. Now, to change the linear speed to `V/2` and to move it along the circle of radius '4r', required change in the centripetal force of the body is ______.

At any instant, the magnitude of the centripetal force on a particle of mass 'm' performing circular motion is given by (ω = angular velocity and v = linear velocity of the particle) ______.

A particle is perfonning uniform circular motion. If 'θ', 'ω', 'α' and ' a' are its angular displacement, angular velocity, angular acceleration, and centripetal acceleration respectively, then which of the following is 'WRONG'?

A ball of mass 'm' is attached to the free end of an inextensible string of length 'l'. Let 'T' be the tension in the string. The ball is moving in horizontal circular path about the vertical axis. The angular velocity of the ball at any particular instant will be ______.

A string of length 'l' fixed at one end carries a mass 'm' at the other end. The string makes `3/pi` revolutions/second around the vertical axis through the fixed end as shown in figure. The tension 'T' in the string is ______.

A mass 'm' is tied to one end of a spring and whirled in a horizontal circle with constant angular velocity. The elongation in the spring is 1 cm. If the angular speed is doubled, the elongation in the spring is 6 cm. The original length of the spring is ______.

Two particles P and Q are moving in concentric circles of rarui r_p and r_Q respectively. If their period of revolutions are in ratio 2 : 3, then ratio of their centripetal acceleration is ____________.

The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre is `"Ma"^2/6` where M is the mass and 'a' is the side of square plate. Moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corner is ______.

In the sonometer experiment, the string of length 'L' under tension vibrates in the second overtone between the two bridges. The amplitude of vibration is maximum at ______

A sonometer wire of length 'ℓ₁' is in resonance with a frequency of 250 Hz. If the length of the wire is increased to 'ℓ₂', then 2 beats per second are heard. The ratio of lengths `ℓ_1/ℓ_2` of wire will be ______ 

A stone of mass 3 kg attached at one end of a 2m long string is whirled in horizontal circle. The string makes an angle of 45° with the vertical then the centripetal force acting on the string is ______.

(g = 10 m/s² , tan 45° = 1)

The angular speed of the minute hand of a clock in degrees per second is ______.

A uniform electric field of intensity 400 N/C, exists in a certain region. How much flux will cross a given area of 10 cm² in this region, if the area vector is inclined at 60° to the direction of the field?

A cyclist is riding with a speed of 43.2 km/h. As he approaches a circular turn on the road of radius 60 m, he applies brakes and reduces his speed at constant rate of 1.8 ms^-2. The magnitude of the net acceleration of the cyclist is ______.

When a sonometer wire vibrates in the third overtone, there are ______.