CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Self Induction

Current " I"...

Question

Current " $I$ " flows through an inductive circuit. The work done is equal to $\frac{{L I}^{2}}{2}$ . The dimensions of work done is:

A

{M L}^{2} T^{- 2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

Not expressible in

M, L, T

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

{M L}^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

M^{2} L^{2} T^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A ${M L}^{2} T^{- 2}$
Energy stored by an inductor is given by $\frac{1}{2} {L I}^{2}$ .
Thus the dimension of ${L I}^{2}$ is of energy only. $\Rightarrow M L^{2} T^{- 2}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Match the physical quantities given in Column I with suitable dimensions expressed in Column II.

Column I	Column II
a) Angular momentum	g) ${M L}^{2} T^{- 2}$
b) Latent heat	h) ${M L}^{2} Q^{- 2}$
c) Torque	i) ${M L}^{2} T^{- 1}$
d) Capacitane	j) ${M L}^{3} T^{- 1} Q^{- 2}$
e) Inductance	k) $M^{- 1} L^{- 2} T^{2} Q^{2}$
f) Resistivity	l) $L^{2} T^{- 2}$

L

denotes the inductance of an inductor through which a current

i

is flowing, the dimensions of

L i^{2}

Q. Match the physical quantities given in Column I with suitable dimensions expressed in Column II.

Column I	Column II
a) Angular momentum	1) $M^{- 1} L^{3} T^{- 2}$
b) Torque	2) ${M L T}^{- 2}$
c) Gravitational constant	3) ${M L}^{2} T^{- 2}$
d) Tension	4) ${M L}^{2} T^{- 1}$

Q. The dimensions ML⁻¹ T⁻² may correspond to
(a) work done by a force
(b) linear momentum
(c) pressure
(d) energy per unit volume.

C

denotes capacitance and

V

denotes potential difference across the capacitor, the dimensions of

C V^{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Self Induction

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard X Physics

Join BYJU'S Learning Program

CrossIcon