The equation for power ($P = \frac{W}{t}$) is derived from the relationship between work and which quantity?

If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities, then the dimension of gravitational constant is

Dimensions of coefficient of viscosity are

The dimensional formula of coefficient of permittivity for free space $\left( {{\varepsilon _0}} \right)$ in the equation $F = \frac{1}{{4{\rm{\pi }}{\varepsilon _0}}}\frac{{{q_1}{q_2}}}{{{r^2}}},$ where symbols have their usual meanings, is

A spectrometer gives the following reading when used to measure the angle of a prism

Main scale reading : 58.5 degree

Vernier scale reading : 09 divisions

Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data

Position of body with acceleration ‘a’ is given by $x = K{a^m}{t^n}$ , here t is time. Find dimensions of m and n

Universal time is based on

The equation of motion $s = ut + \frac{1}{2}at^2$ is derived assuming what condition for acceleration?

If E,M,L and G denote energy, mass, angular momentum and gravitational constant respectively, then the quantity $\left( {E{L^2}/{M^5}{G^2}} \right)$ has the dimensions of

Universal time is based on

In a screw gauge, the pitch is 0.5 mm and there are 50 divisions on the circular scale. When the screw gauge is used to measure the thickness of a glass plate, the main scale reading is 2 mm and the circular scale reading is 30 divisions. What is the thickness of the glass plate?