Question 176: Units , Dimensions and Error Analysis

Question

A quantity f is given by $$f = \sqrt {{{h{c^5}} \over G}} $$ where c is
speed of light, G universal gravitational
constant and h is the Planck's constant.
Dimension of f is that of :

Accepted Answer

[h] = M
1
L
2
T
Ã¢ÂÂ1
[C] = L
1
T
Ã¢ÂÂ1
[G] = M
Ã¢ÂÂ1
L
3
T
Ã¢ÂÂ2
[f] = $$\sqrt {{{M{L^2}{T^{ - 1}} 	imes {L^5}{T^{ - 5}}} \over {{M^{ - 1}}{L^3}{T^{ - 2}}}}} $$ = M
1
L
2
T
Ã¢ÂÂ2

Answer

Energy

Answer

Momentum

Answer

Area

Answer

Volume

Units , Dimensions and Error Analysis

A quantity f is given by $f = \sqrt {{{h{c^5}} \over G}} $ where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of :

Choose the correct answer: