Question
If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities, then the dimension of gravitational constant is
Answer: Option B
:
B
Let [G] ∝cxgypz
by substituting the following dimensions :
[G] = [M−1L3T−2],[c]=[LT−1],[g]=[LT−2]
[p]=[ML−1T−2]
compare the dimension of M, L and T onboth sides
we can get x=0,y=2,z=1
∴[G]∝c0g2p−1
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:
B
Let [G] ∝cxgypz
by substituting the following dimensions :
[G] = [M−1L3T−2],[c]=[LT−1],[g]=[LT−2]
[p]=[ML−1T−2]
compare the dimension of M, L and T onboth sides
we can get x=0,y=2,z=1
∴[G]∝c0g2p−1
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