Physics Test 23...

Moment of inertia of a solid spherical shell of mass M of inner radius R₁ and outer radius R₂ is given by :

For a prism kept in air it is found that for an angle of incidence 60°, the angle of prism 'A', angle of deviation 'δ' and angle of emergence 'e' become equal. Then the refractive index of the prism is

The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x, respectively, are T₂ and T₁, (T₂ > T₁). The rate of heat transfer through the slab, in a steady state is with f equal to

At two particular closest instants of time t₁ and t₂, the displacement of particle performing SHM are equal. At these instants

A particle of mass m and charge q moves with a constant velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative Z - direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x > b is

A cannon ball has a range R on a horizontal plane. If h and h' are the greatest heights in the two paths for which this is possible, then

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 ∶ 1. The ratio of their nuclear sizes will be:

A car of mass m is accelerated on a plane road under the influence of a force in such a way that its velocity becomes v₂ from v₁ in a distance s. If a constant power P is generated by the car engine then the velocity v₂ will be

The position vector of a particle is given by r = r₀(1 – at)t, where t is the time and a as well as r₀ are constants. How much distance is covered by particle in returning to its starting point?

Two particles P and Q start from origin and execute simple harmonic motion along x - axis with same amplitude but with periods 3s and 6s respectively. The ratio of the speeds of P and Q when they meet is