Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6

Q.

If the velocity of light c, universal gravitational constant G and Planck’s constant h are chosen as fundamental quantities. The dimensions of mass in the new system is:

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

h1/2c1/2G1

b

h1c1G1

c

h1/2c1/2G1/2

d

h1/2c1/2G1/2

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

detailed_solution_thumbnail

Dimension formula of velocity of light =ML1T1
Dimension formula of Planck’s constant M1L2T1
Dimension formula of (G) constant =M1L3T2
Dimension formula of Mass =M1LT
from the options 

ch=ML3T-2

now  chG=ML3T-2M-1L3T-2=M2

M=chG12=c12h12G-12

 

Watch 3-min video & get full concept clarity

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon