Engineering
Physics
Dimensions
Question

Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to :

Ghc3

c3Gh

hc5G

Ghc5

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution

t = Ga hb cc

⇒ MoLoT’ = (M–1 L3 T–2)a (ML2T–1)b (LT–1)c

⇒ –a + b = 0 ⇒ a = b

⇒ 3a + 2b + c = 0

⇒ c = –5a

⇒ –2a – b – c = 1

⇒       a=12    ;    b=12     ;     c=−52