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Changing Scale (Including Flags)

If C denote...

Question

If $C$ denotes the capacity and $L$ denotes the inductance, the dimensions of ' $L C$ ' are :

A

M^{0} L^{0} T^{2}

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B

M^{1} L^{0} T^{2}

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C

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

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D

M^{0} L^{1} T^{2}

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Solution

The correct option is B $M^{0} L^{0} T^{2}$
$L = M L^{2} I^{- 2} T^{- 2}$
$C = M^{- 1} L^{- 2} I^{2} T^{4}$
$L C = M^{0} L^{0} I^{0} T^{2}$

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Similar questions

Q. Match List I with II and select the correct answer:

List-I	List-II
A.Spring constant	1. $M^{1} L^{2} T^{- 2}$
B.pascal	2. $M^{0} L^{0} T^{- 1}$
C.hertz	3. $M^{1} L^{0} T^{- 2}$
D.joule	4. $M^{1} L^{- 1} T^{- 2}$

Q. Match List I with List II and select the correct answer.

List - I	List - II
A) Spring constant	I) [ $M^{1} L^{2} T^{- 2}$ ]
B) Pascal	II) [ $M^{0} L^{0} T^{- 1}$ ]
C) Hertz	III)[ $M^{1} L^{0} T^{- 2}$ ]
D) Joule	IV) [ $M^{1} L^{- 1} T^{- 2}$ ]

C

L

denote the capacitance and inductance, the dimensions of

L C

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

are the dimensions of ____

Q. Dimensions of 1/(µ₀ϵ₀) is
(a) L/T
(b) T/L
(c) L²/T²
(d) T²/L².

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