Q If force (F), velocity (V) and acceleration (A) are taken as the fundamental units instead of mass, length and time; then which of the following gives thedimensions of the Gravitational constant in terms of F, V, and A? About the author Nevaeh
Answer: Since [Y]=[ML −1 T −2 ] Here, [Y]αV a A b F c ∴ [M 1 L −1 T −2 ]=K[LT −1 ] a [LT −2 ] b [MLT −2 ] Hence on comparing; a=−4 b=2 c=1 Hence Y=FA 2 V −4 Reply
Answer:
Since [Y]=[ML
−1
T
−2
]
Here,
[Y]αV
a
A
b
F
c
∴ [M
1
L
−1
T
−2
]=K[LT
−1
]
a
[LT
−2
]
b
[MLT
−2
]
Hence on comparing;
a=−4
b=2
c=1
Hence Y=FA
2
V
−4