Units and Measu...

The dimensions of gravitational constant G and the moment of inertia are, respectively

The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant (h) is

Dimensional formula for the universal gravitational consant G is

The velocity of a particle v at an instant t is given by v = at + bt², the dimension of b is

In the relation x =cos (ωt + kx), the dimensions of ω are

The air bubble formed by explosion inside water performed oscillation with time period T that is directly proportional to p^ad^b E^c , where p is the pressure, d is the density and E is the energy due to explosion. The values of a, b and c will be

Dimensional formula for force is

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be

The speed (v) of ripples on the surface of water depends on surface tension (σ), density (ρ) and wavelength (λ). The square of speed (v²) is proportional to