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If the dimensions of length are expressed as Gx, Cy, hz, where G, C, h are universal gravitational constant, speed of light and Plank's constant respectively, then A. x = 1/2, y= 1/2 B. x = 1/2, z = 1/2 C. y = 1/2, z = 3/2 D. y = + 3/2, z = 1/2

If the dimensions of length are expressed as Gx, Cy, hz, where G, C, h are universal gravitational constant, speed of light and Plank's constant respectively, then
A. x = 1/2, y= 1/2
B. x = 1/2, z = 1/2
C. y = 1/2, z = 3/2
D. y = + 3/2, z = 1/2

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
the dimensions of Gx = [ M-1 L3 T-2 ].x
Cy=[L T-1]y
Hz=[M L2 T-1]z
By writing equationsGxCyHz=[M-x+z L3x+y+2z T-2x-y-z]
equating powers to actual length dimension[M0 L1 T0]
we get x=z; y=-3z
so z=1/2;x=1/2,y=-3/2
Hence A is the correct answer
Thanks and Regards
Shaik Aasif
askIITians faculty

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