Question

The damping force on a body (bob) is proportional to
its velocity. The dimension of proportionality
constant is :
(a) [M^2T^-1]
(b) [MLT^-2]
(c) [MT^-1]
(d) Dimensionless​

Answer 1

option d dimensionless

Answer 2

Answer:

Option (C) is correct.

Explanation:

Since we know that the damping force is directly proportional to the velocity of the system.

$F=-bV$......................(1)

Where b is the constant of proportionality

We know the dimension of force $F=MLT^{-2}$..........................(2)

And the dimensional formula for velocity is $V=LT^{-1}$................(3)

So, using equation (1), (2) and (3)

we get the dimension of constant of proportionality $b=MT^{-1}$

So, option (C) is correct.