Parsec is a unit of :

(1) Distance

(2) Velocity

(3) Time

(4) Angle

Length cannot be measured by

(1) Fermi

(2) Debye

(3) Micron

(4) Light year

Which of the following pair does not have similar dimensions  

(1) Stress and pressure

(2) Angle and strain

(3) Tension and surface tension

(4) Planck's constant and angular momentum

The dimensions of universal gravitational constant are

(1) $M^{-2}{L}^2{T}^{-2}$

(2) $M^{-1}{L}^3{T}^{-2}$

(3) $M{L}^{-1}{T}^{-2}$

(4) $M{L}^2{T}^{-2}$

Dimensions of CR are those of 

(1) Frequency

(2) Energy

(3) Time period

(4) Current

The dimensional formula of angular velocity is

(1) $M^0{L}^0{T}^{-1}$

(2) $ML{T}^{-1}$

(3) $M^0{L}^0{T}^1$

(4) $M{L}^0{T}^{-2}$

Dimensions of coefficient of viscosity are 

(1) $M{L}^2{T}^{-2}$

(2) $M{L}^2{T}^{-1}$

(3) $M{L}^{-1}{T}^{-1}$

(4) MLT

Of the following quantities, which one has dimensions different from the remaining three 

(1) Energy per unit volume

(2) Force per unit area

(3) Product of voltage and charge per unit volume

(4) Angular momentum per unit mass

A spherical body of mass m and radius r is allowed to fall in a medium of viscosity $\eta$. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity $\left(v\right)$ is called time constant $\left(\tau \right)$. Dimensionally $\tau$ can be represented by 

(1) $\frac{m{r}^2}{6\pi \eta }$

(b) $\sqrt{\left(\frac{6\pi mr\eta }{g^2}\right)}$

(c) $\frac{m}{6\pi \eta rv}$

(4) None of the above

Planck's constant has the dimensions (unit) of 

(1) Energy

(2) Linear momentum

(3) Work

(4) Angular momentum