The dimensional formula of the coefficient of thermal conductivity is :

1.  $\left[{\mathrm{M}}^1{\mathrm{L}}^1{\mathrm{T}}^{-3}{\mathrm{K}}^{-1}\right]$

2.  $\left[{\mathrm{M}}^3{\mathrm{L}}^{-1}{\mathrm{T}}^{-3}\mathrm{K}\right]$

3.  $\left[{\mathrm{M}}^1{\mathrm{L}}^{-3}{\mathrm{T}}^{-1}{\mathrm{K}}^{-1}\right]$

4.  $\left[{\mathrm{M}}^1{\mathrm{L}}^1{\mathrm{T}}^{-3}\mathrm{K}\right]$

If L,Q,R represent inductance, charge and resistance respectively, the units of 

[This question includes concepts from 12th syllabus]

1. $\frac{QR}{L}$ will be those of current

2. $\frac{Q^2{R}^3}{L^2}$ will be those of energy

3. $\frac{QL}{R}$ will be those of current

4. $\frac{Q^3{R}^2}{L}$ will be those of power                   

The quantity $\frac{1}{2}{\in }_0{E}^2$ has dimensional formula same as [This question includes concepts from 12th syllabus]

1. $\frac{1}{2}C{V}^2$

2. $\frac{1}{2}L{I}^2$

3. $\frac{1}{2} \frac{B^2}{{\mu }_0}$

4. Power

A light-year is a unit of: 

1. Time

2. Mass

3. Distance

4. Energy

The magnitude of any physical quantity:

Which of the following is not equal to watt ?

(1) Joule/second

(2) Ampere $\times$ volt

(3) (Ampere)² $\times$ ohm

(4) Ampere/volt

Newton–second is the unit of  

(1) Velocity

(2) Angular momentum

(3) Momentum

(4) Energy

Which of the following is not represented in correct unit  

(1) $\frac{\text{Stress}}{\text{Strain}}=N\text{}/\text{}{m}^2$

(2) Surface tension = $N\text{}/\text{}m$

(3) Energy $=kg\text{-}m\text{}/\text{}\sec$

(4) Pressure $=N\text{}/\text{}{m}^2$

One second is equal to :

(1) 1650763.73 time periods of $Kr$ clock

(2) 652189.63 time periods of $Kr$ clock

(3) 1650763.73 time periods of $Cs$ clock

(4) 9192631770 time periods of $Cs$ clock

One nanometre is equal to:

(1) ${10}^{9}mm$

(2) ${10}^{-6}cm$

(3) ${10}^{-7}cm$

(4) ${10}^{-9}cm$