The electrical resistance $R$ of a conductor of length $l$ and area of cross section $a$ is given by $R = \frac{{\rho l}}{a}$ where $\rho$ is the electrical resistivity. What a is the dimensional formula for electrical conductivity $\sigma $ which is reciprocal of resistivity?
The electrical resistance $R$ of a conductor of length $l$ and area of cross section $a$ is given by $R = \frac{{\rho l}}{a}$ where $\rho$ is the electrical resistivity. What a is the dimensional formula for electrical conductivity $\sigma $ which is reciprocal of resistivity?
- [AIEEE 2012]
- A
$[M^{-1}\, L^{-3}\, T^3\,A^2]$
- B
$[M\,L^{-3}\, T^{-3}\,A^2]$
- C
$[M\,L^3\,T^{-3}\,A^{-2}]$
- D
$[M^{-2}\,L^3\, T^2A^{-1}]$
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- [AIPMT 1992]
Match List $I$ with List $II$
List $I$
List $II$
$A$ Torque
$I$ ${\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]}$
$B$ Magnetic fileld
$II$ $\left[\mathrm{L}^2 \mathrm{~A}^1\right]$
$C$ Magneti moment
$III$ ${\left[\mathrm{M}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]}$
$D$ permeability of free space
$IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$
Choose the correct answer from the options given below :
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $A$ Torque | $I$ ${\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]}$ |
| $B$ Magnetic fileld | $II$ $\left[\mathrm{L}^2 \mathrm{~A}^1\right]$ |
| $C$ Magneti moment | $III$ ${\left[\mathrm{M}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]}$ |
| $D$ permeability of free space | $IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$ |
Choose the correct answer from the options given below :
- [JEE MAIN 2024]