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:

(1) depends on the method of measurement.

(2) does not depend on the method of measurement.

(3) is more in the SI system than in the CGS system.

(4) is directly proportional to the fundamental units of mass, length and time.

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