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Dimensional Analysis

The dimension...

Question

The dimensions of electric potential are:

A

[M L^{2} T^{- 2} Q^{- 1}]

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B

[M L T^{- 2} Q^{- 1}]

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C

[M L^{2} T^{- 1} Q]

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D

[M L^{2} T^{- 2} Q]

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Solution

The correct option is A $[M L^{2} T^{- 2} Q^{- 1}]$
The electric potential is expressed as:
$V = \frac{W o r k}{c h a r g e}$

So, the dimensional formula will be $[M L^{- 2} T^{- 2} Q^{- 1}]$

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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) $L^{2} T^{- 2}$

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. Match the following physical quantities with their respective dimensional formula:

(a) Angular Momentum	(e) $[{M L}^{2} T^{- 3}]$
(b) Impulse	(f) $[{M L}^{2} T^{- 1}]$
(c) Pressure	(g) $[M L T^{- 1}]$
(d) Power	(h) $[{M L}^{- 1} T^{- 2}]$

Q. Match the following two columns:

Column I	Column II
(a) Electrical resistance	(p) $M L^{3} T^{- 3} A^{- 2}$
(b) Electrical potential	(q) $M L^{2} T^{- 3} A^{- 2}$
(c) Specific resistance	(r) $M L^{2} T^{- 3} A^{- 1}$
(d) Specific conductance	(s) None of these

Q. Which of the following units denotes the dimension

\frac{M L^{2}}{Q^{2}}

where Q denotes the electric charge?

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