Question

If the velocity of a particle v as a function of
time t is given by the equation, V = a(1 - e-bt),
where a and b are constants, then the
dimension of the quantity a2b3 will be​

Answer 1

Answer:

According to the principle of dimensional homogenity

Dimension of v = dimension of at = dimension of

t+c

b

Dimension of a =

[t]

[v]

=

T

LT

−2

=[LT

−2

]

Dimension of b = [v][t]=[LT

−1

T]=[L]

Dimension of c = [t]=[T]