Physics Test - ...

An 80 kg man standing on ice throws a 4 kg body horizontally at 6 ms⁻¹. The frictional coefficient between the ice and his feet is 0.02. The distance through which the man slips is (g = 10 ms⁻²)

A spring mass system with unequal masses is placed at rest on a smooth horizontal surface. The spring is initially kept compressed with a thread. When the spring is cut, the mass m moves so as to enter in a vertical circular loop of radius r. The minimum compression x in the spring so that the mass m may negotiate the vertical loop is

A satellite orbiting around the earth of radius R is shifted to an orbit of radius 2R. The time taken for one revolution will increase nearly by

Four metallic plates each with a surface area A of each side are placed at a distance d from each other. When the plates are connected as shown in Figure, the capacitance of the whole system between a and b is

A battery of internal resistance 4 Ω is connected to the network of resistance as shown in the Figure. In order to get maximum power to the network, the value of R in ohm should be

Steam at 100 °C is passed into 1.4 kg of water kept in a calorimeter of water equivalent 0.03 kg at 20 °C till the temperature of the calorimeter and contents reach 80 °C. Latent heat of steam is 2.26 × 10⁶ J kg ^{− 1} and sp.heat capacity of water is 4200 J /kg/ °C. The mass of steam condensed in kilogram is nearly equal to

An object is projected up the incline with a velocity of 24 m/s at angle of 30 ° as shown in the Figure. The distance up the inclined plane at which the object strikes is (g = 10 ms ^{− 2} )

The given graph shows the extension ( Δl ) of a wire of length 1.0 m suspended from the top of a roof at one end and loaded at the other end. If the cross sectional area of the wire is 10 ^{− 6} m², the Young’s modulus Y of the material of the wire is

A point mass 0.1 kg executes S.H.M of amplitude 0.2 m. When the particle passes through the mean position, its kinetic energy is 9 × 10 ^{− 3} J. The equation of motion of their particle is S.H.M when the initial phase 60 ° is

A cylinder of radius r = 1 m and height 3 m filled with a liquid upto 2 m high and is rotated about its vertical axis as shown in the Figure.

The speed of rotation of the cylinder when the point at the centre of the base is just exposed is