The speed of light (c), gravitational constant (G) and Planck's constant (h) are taken as the fundamental units in a system. The dimension of time in this system is:
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
G1/2h1/2c−5/2
b
G−1/2h1/2c1/2
c
G1/2h1/2c−3/2
d
G1/2h1/2c1/2
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Time ∝cxGyhz⇒T=kcxGyhzPutting the dimensions in the above relation⇒ M0L0T1=LT−1xM−1L3T−2yML2T−1z⇒ M0L0T1=M-y+zLx+3y+2zT−x−2y−zComparing the powers of M, L and T−y+z=0 ...........(i)x+3y+2z=0 ...........(ii)−x−2y−z=1 ..........(iii)On solving equations (i) and (ii) and (iii)x=−52,y=z=12Hence dimension of time are G1/2h1/2c−5/2