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Dimensional Analysis

The dimension...

Question

The dimensional equation for magnetic flux is:

A

{M L}^{2} T^{- 2} I^{- 1}

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B

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

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C

{M L}^{- 2} T^{- 2} I^{- 1}

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D

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

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Solution

The correct option is B ${M L}^{2} T^{- 2} I^{- 1}$
Magnetic flux $=$ Magnetic Field (B) x Area (A)
B's dimensions $=$ Tesla $= M I^{- 1} T^{- 2}$
A's dimensions $= L^{2}$
Therefore, $B A = M L^{2} T^{- 2} I^{- 1}$

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Similar questions

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 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. Some physical constants are given in List - I and their dimensional formulae are given in List - II. Match the following :

List - I	List - II
A) Planck's constant	e) $[{M L}^{- 1} T^{- 2}]$
B) Gravitational constant	f) $[{M L}^{1} T^{- 1}]$
C) Bulk modulus	g) $[{M L}^{2} T^{- 1}]$
D) Linear momentum	h) $[M^{- 1} L^{3} T^{- 2}]$

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

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