MCQ
Dimensional formula of self inductance is __________ .
- A$\left[M^1 L^1 T^{-2} A^{-2}\right]$
- B$\left[M^1 L^{-} T^{-1} A^{-2}\right]$
- C$\left[M^1 L^2 T^{-2} A^{-2}\right]$
- D$\left[M^1 L^2 T^{-2} A^{-1}\right]$
✓
Answer
C.
$\begin{array}{l}
\left[ M ^1 L^2 T^{-2} A^{-2}\right] \\ \rightarrow \text { We have }|\varepsilon|= L \left|\frac{d I }{d t}\right| \\ \therefore \text { Unit of } L =\frac{ V _{ S }}{ A }=\frac{ J }{ C } \times \frac{ S }{ A }=\frac{ J }{ A _{ S }} \times \frac{ S }{ A } \\ \therefore \text { Unit of } L =\frac{ J }{\left[ A ^2\right]} \Rightarrow[ L ]=\frac{\left[ M ^1 L^2 T^{-2}\right]}{\left[ A ^2\right]} \\ \therefore[ L ]= M ^1 L^2 T^{-2} A^{-2}\end{array}$
$\begin{array}{l}
\left[ M ^1 L^2 T^{-2} A^{-2}\right] \\ \rightarrow \text { We have }|\varepsilon|= L \left|\frac{d I }{d t}\right| \\ \therefore \text { Unit of } L =\frac{ V _{ S }}{ A }=\frac{ J }{ C } \times \frac{ S }{ A }=\frac{ J }{ A _{ S }} \times \frac{ S }{ A } \\ \therefore \text { Unit of } L =\frac{ J }{\left[ A ^2\right]} \Rightarrow[ L ]=\frac{\left[ M ^1 L^2 T^{-2}\right]}{\left[ A ^2\right]} \\ \therefore[ L ]= M ^1 L^2 T^{-2} A^{-2}\end{array}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
How can the rate of emission of electrons in a cathode ray tube can be increased?
Water and mercury are filled in two cylindrical vessels up to same height. Both vessels have a hole in the wall near the bottom. The velocity of water and mercury coming Out of the holes are v1 and v2 respectively.
→-
$\text{v}_1=\text{v}_2$
-
$\text{v}_1=13.6\text{v}_2$
-
$\text{v}_1=\frac{\text{v}_2}{\text{13.6}\cdot}$
-
$\text{v}_1=\sqrt{13.6}\text{v}_2$
The curves (a), (b) (c) and (d) show the variation between the applied potential difference (V) and the photoelectric current (i), at two different intensities of light (I1 > I2). In which figure is the correct variation shown
|
(a)
|
(b)
|
(c)
|
(d)
|
Figure represents two simple harmonic motions. The parameter which has different values in the two motions is:
- Amplitude.
- Frequency.
- Phase.
- Maximum velocity.
Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:
When the reflecting or refracting rays do not actually intersect but appear to intersect when produced backwards,
An atomic mass unit (amu) will be equal to :
Three observers A, B and C measure the speed of light coming from a source to be vA, 0B and vc. The observer A moves towards the source and C moves away from the source at the same speed. The observer B stays stationary. The surrounding space is vacuum everywhere.
The magnetic field to a small magnetic dipole of magnetic moment M, at distance r from the centre on the equatorial line is given by (in M.K.S. system)
|
(a) |
(b) |
(c) |
(d) |
If the resistance of a conductor is 5 W at 50oC and 7 W at 100oC then the mean temperature coefficient of resistance of the material is
|
(a) 0.008/oC |
(b) 0.006/oC |
(c) 0.004/oC |
(d) 0.001/oC |