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Question

If dimensions of length are expressed as GxCyhz where G, C and h are universal gravitational constant, speed of light and Planck's constant respectively. Then
  1. x=z
  2. x=y
  3. z=1/2
  4. y=3/2

A
x=y
B
x=z
C
y=3/2
D
z=1/2
Solution
Verified by Toppr

(M0L1T0) αGxlyhz

G=(M1L1T2)M2×(L2)=M1L3T2

C=LT1

h=EnergyCλ=M1L2T2LT1L=M1L2T1

M0L1T0=(M1L3T2)x(LT1)y(M1L2T1)z

x+z=0,3x+y+2z=1,2xyz=0

x=z

5x+y=1

y=3/2

x=1/2

z=1/2

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