The velocity attained from rest under uniform acceleration acting for time is assumed…

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

The velocity

v

attained from rest under uniform acceleration

a

acting for time

t

is assumed to obey

v = k a^{m} t^{n}

, where

k

is a dimensionless constant. Using dimensional reasoning, find the values of

m

and

n

. (a)

m=\tfrac{1}{2},\;n=\tfrac{1}{2}

(b)

m=1,\;n=1

(c)

m=1,\;n=-1

(d)

m=1,\;n=2