Questions
If momentum (P), area (A) and time (T) are taken to be the fundamental quantities, then the dimensional formula for energy is:
a
PA1/2T−1
b
P1/2AT−1
c
P2AT−2
d
PA−1T−2
detailed solution
Correct option is A
Let Energy be expressed as powers of momentum(P), Area (A) and time (T), thenE=PaAbTcM1L2T−2=M1L1T−1aL2bTccomparing powers on both sides, 1 = a 2 = a + 2b -2 = -a + c∴ b = 1/2 and c = -1 E=PA12T−1Talk to our academic expert!
Similar Questions
The quantities A and B are related by the relation A/B = m, where m is the linear mass density and A is the force, the dimensions of B will be
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