Consider the relation

PHYSICS · Multi-part · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

F = k\,\dfrac{p}{t}

, where

F

is the magnitude of force applied on a body,

p

is the magnitude of its momentum and

t

is the time interval in which the change occurs. Answer the following questions. (i) Using dimensional symbols

[M]

[L]

, and

[T]

, write the dimensions of the right-hand side of the given relation. (ii) Hence obtain the dimensions of the constant

k

appearing in the relation. (iii) If the experimentally accepted relation between force, momentum and time is

F = \dfrac{\Delta p}{\Delta t}

, comment on the numerical value and unit of

k