Which of the following quantities has a unit but dimensionless?
Strain
Reynold's number
Angular displacement
Poisson's ratio
In the relation $y = a\cos (\omega t - kx)$, the dimensional formula for $k$ is
If speed $(V)$, acceleration $(A)$ and force $(F)$ are considered as fundamental units, the dimension of Young’s modulus will be
Which of the following is not a dimensionless quantity?
Match List$-I$ with List$-II$.
List$-I$ | List$-II$ |
$(A)$ Angular momentum | $(I)$ $\left[ ML ^2 T ^{-2}\right]$ |
$(B)$ Torque | $(II)$ $\left[ ML ^{-2} T ^{-2}\right]$ |
$(C)$ Stress | $(III)$ $\left[ ML ^2 T ^{-1}\right]$ |
$(D)$ Pressure gradient | $(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$ |
Choose the correct answer from the options given below:
If energy $(E),$ velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be