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

Two bodies have their moments of inertia I and 2I respectively about their axes of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio ______.

A pipe closed at one end has length 0.8 cm. At its open end a 0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is 50 N and the speed of sound is 320 m/s, the mass of the string is ______.

Two identical strings of length 'l' and '2l' vibrate with fundamental frequencies 'N' hertz and '1.5 N' hertz, respectively. The ratio of tensions for smaller length to larger ______.

The fundamental frequency of a string stretched with a weight 'M' kg is 'n' hertz. Keeping the vibrating length constant, the weight required to produce its octave is ______.

The equiconvex lens has a focal length 'f'. If the lens is cut along the line perpendicular to principal axis and passing through the pole, what will be the focal length of any half part?

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 ______