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
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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
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option d dimensionless
Answer:
Option (C) is correct.
Explanation:
Since we know that the damping force is directly proportional to the velocity of the system.
......................(1)
Where b is the constant of proportionality
We know the dimension of force ..........................(2)
And the dimensional formula for velocity is ................(3)
So, using equation (1), (2) and (3)
we get the dimension of constant of proportionality
So, option (C) is correct.