Physics Test - ...

Which of the following quantities is unitless as well as dimensionless?

Which of the following magnitudes is expressed most accurately?

Match the following:

Time period 'T' of a simple pendulum may depend on 'm', the mass of the bob, 'l', the length of the string, and 'g', the acceleration due to gravity. This means that 'T' ∝ m^a l^b g^c. What are the respective values of 'a', 'b' and 'c'?

A particle has an initial velocity of 9 m/s due east and a constant acceleration of 2 m/s2 due west. The distance covered by the particle in the fifth second of its motion is

A bird flies for 4 s with a velocity of |t - 2| m/s in a straight line, where t = time in seconds. It covers a distance of

A balloon starts rising from the ground with an acceleration of 1.25 m/s2. After 8 s, a stone is released from the balloon. The stone will, after release from the balloon,

A car accelerates from rest at a constant rate ∝ for some time. Afterwards, it decelerates at a constant rate β to come to rest. If the total time elapsed is t , the maximum velocity acquired by the car is given by

From the top of a tower, a stone is thrown up and reaches the ground in time t₁ = 9 s. A second stone is thrown down with the same speed and reaches the ground in time t₂ = 4 s. A third stone is released from rest and reaches the ground in time t₃, which is equal to

A body of mass 1 kg is projected with velocity 40 m/s at an angle of projection 30° with the horizontal. The magnitude of change in momentum from t = 0 to t = 2 sec is

A body is projected at time t = 0 from a certain point on a planet’s surface with a certain velocity at a certain angle with the planet’s surface (assumed horizontal). The horizontal and vertical displacements x and y (in metres), respectively vary with time t (in seconds) as x = 10 √3 t and y = 10 t – t².

What is the value of acceleration due to the gravity on the planet’s surface?

A body is projected at time t = 0 from a certain point on a planet’s surface with a certain velocity at a certain angle with the planet’s surface (assumed horizontal). The horizontal and vertical displacements x and y (in metres), respectively vary with time t (in seconds) as x = 10 √3 t and y = 10 t – t².

What is the magnitude and direction of the velocity with which the body is projected?

A stone weighing 0.5 Kg tied to a rope of length 0.5 m revolves along a circular path in a vertical plane. The tension of the rope at the bottom point of the circle is 45 N. To what height will the stone rise if the rope breaks the moment the velocity is directed upwards? (g = 10m/s²)

A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/s. If the radius of the circle is 1.2 m, then the tension in the string when the body is at the top of the circle is