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).

If two conducting spheres are separately charged and then brought in contact:

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

The photon emitted in n = 3 to n = 1 transition in He⁺ hits a photosensitive surface of threshold wavelength 6000 A°. The photoelectrons emitted will have __________.

Lights of wavelengths \(2000 A^{0}\) and \(3000 A^{0}\) emit photoelectrons from a metal surface whose threshold wavelength is \(4000 A^{0} .\) The ratio of the maximum \(\mathrm{K} . \mathrm{E}\) 's of the photoelectrons emitted is nearly:

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 ?

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 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

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 specific heat of 100 gm of a substance varies with temperature T as c = AT² + BT cal/gm/K with absolute temperature. [Given A = 2.1x10^-3 cal/g (^oC)³; B = 15x10^-2 cal/g (^oC)²].

An electron makes transition from n=4 to n=1 state in a hydrogen atom. The maximum possible number of photons emitted will be :

The beat frequency produced when the following two waves x₁ = 12 sin (484 π t − 7π x) and  x₂ = 12 sin (480 πt − 7π x) are sounded together is

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

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 ?

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