Physical World

If and denote energy, mass, angular momentum and gravitational constant respectively, then the quantity has the dimensions of

In the following equation, x, t and F represent respectively, displacement, time and force : The dimensional formula for is

A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the sun and the earth in terms of the new unit if light takes 8 min and 20 s to cover this distance?

In a new system of units called star units, , and minute, what will be the value of in the new system ?

Astronomical unit is the average distance between the earth and sun approximately . The speed of light is about . The speed of light in astronomical unit per minute is

Starting from origin, a body moves along -axis. Its velocity at any time is given by Acceleration of the particle when it is away from the origin is

The velocity of a transverse wave in a string is directly proportional to and inversely proportional to . In a measurement, the mass applied at the end of string is , length of string is and mass of string is . If possible error in measuring mass is and that of length is , the percentage error in measurement of velocity is

Two cars are in a race. The white car passed the finishing point with a velocity more and took time less than the red car. If both the cars start from rest and travel with constant accelerations , and respectively, is given

A particle moving with an initial velocity is retarded by a force at the rate of . where is a positive constant and is the instantaneous velocity. The particle comes to rest in a time given by

Consider the following statements about the four fundamental forces in nature (i) The strong nuclear force binds protons and neutrons in a nucleus (ii) The strong nuclear force is about times the electromagnetic force in strength (iii) The weak nuclear force is the weakest of all the four fundamental forces (iv) The range of the weak nuclear is about . The correct statement (s) is (are)