Question

The velocity of a moving particle depends upontime t as v=at + b/t+c. Then dimensionalformula for b is-(1) [M° Lºtº] (2) [M° L' Tº](3) [M° L'T'] (4) [M°L'T^-2]​

Answer 1

Answer:

(2) [M°L¹T°]

Explanation:

v = at + b/t + c

In addition, all the constituents which are being added must have same units. For e.g 5 kg + 2 kg can be added but 5 kg + 2 km can't be added.

So, in given equation unit of

v = m/s

at = m/s

b/t = m/s

c = m/s

b/t = m/s

b/s = m/s

b = s × m/s

b = m

Dimensional formula of "b" is therefore [M°L¹T°]