Question

Impulse and angular velocity have the same dimensions in

• A. mass
• B. length
• C. time
• D. mass, length and time

Answer 1

Answer: (C)

time

Impulse $=F\times t=[M^1{L}^1{T}^{-2}\times T^1]=\left[M^1{L}^1{T}^{-1}\right]$
Angular velocity $=\omega =\left[M^0{L}^0{T}^{-1}\right]$
Hence, time has the same dimension in both the quantities.