GravitationHard

Question

Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length?

Options

A.

hGC32

B.

hGC52

C.

hcG

D.

Gch32

Solution

L ∝ hacbGc
[L]1 = [M1L2T-1]2 [LT-1]b[M-1L3T-2]c
Solving,
a=12, C=12, b=-32
⇒ L=hGc32

Create a free account to view solution

View Solution Free
Topic: Gravitation·Practice all Gravitation questions

More Gravitation Questions

Gravitational potential at the centre of curvature of a hemispherical bowl of radius R and mass M is V : -...Escape velocity of a body when projected from the earth’s surface is 11.2km/sec. If it is projected at an angle of 50o...Kepler′s third law states that square of period of revolution (T) of a planet around the sun, is proportional to t...A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be ...Find the distance between centre of gravity and centre of mass of a two particle system attached to the ends of a light ...