Question

If the dimensions of a physical quantity are given by $M^{a}L^{b}T^{c}$, then the physical quantity will be(a) velocity if a = 1, b = 0, c = – 1(b) acceleration if a = 1, b = 1, c = – 2(c) force if a = 0, b = – 1, c = – 2(d) pressure if a = 1, b = – 1, c = – 2

Answer 1

pressure if a = 1, b = -1, c= 2
Dimensions of velocity = [ M L T ]
Here, a = 0, b =1, c = -1
Dimension of acceleration = [ M L T ]
Dimension of force = [ M L T ]
Dimension of pressure = [M L T
The physical quantity is pressure.