CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the velocity of light (c), gravitational constant (G), and Plancks' constant (h) are chosen as fundamental units, then find the dimensions of mass in new system.

Open in App
Solution

Let m[cxGyhz]

or m=K[cxGyhz]
By substituting the dimension of each quantity in both the sides,
[M1L0T0]=K[LT1]x[M1L3T2]y[ML2T1]z
M=[My+zLx+3y+2zTx2yz]
By equating the power of M, L and T in both the sides :
y+z=1,x+3y+2z=0,x2yz=0

By solving above three equations,
x=1/2,y=1/2,andz=1/2.

mc1/2G1/2h1/2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dimensional Analysis
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon