Planck's constant h, speed of light c and gravitational constant G are used to from a unit of length L and a unit of mass M. Then the correct options(s) is (are)
A
M ∝ 
B
M ∝ 
C
L ∝ 
D
L ∝ 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION
(a,c,d)
M = h x c y G z
M = (ML 2 T –1 ) x (LT –1 ) y (M –1 L 3 T –2 ) z
x – z = 1
2x + y + 3z = 0
–x – y –2z = 0
x = 
, y = 
, z = 
M α 
For L
x –z = 0
2x + y + 3z = 1
–x –y –2z = 0
x = 
y = 
z = 
L α 
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