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Question

The SI unit of inductance, henry can be written as:

a) $$ \dfrac{weber}{ampere} $$  b)
$$ \dfrac{Volt-second}{ampere} $$   c) $$ \dfrac{joule}{ampere^{2}} $$  d) $$Ohm-second$$


A
a & c are correct
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B
a & b are correct
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C
a, b & c are correct
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D
all are correct
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Solution

The correct option is D all are correct
Henry $$= M L^{2} A^{-2} T^{-2}$$

a) $$\dfrac{weber}{Ampere} = \dfrac{ML^{2} A^{-1} T^{-2}}{A} = M L^{2} A^{-2} T^{-2}$$

b) $$\dfrac{volt sec}{Ampere} = \dfrac{M L^{2} A^{-1} T^{-3} T^{1}}{A} = M L^{2} A^{-2} T^{-2}$$

c) $$\dfrac{Julle}{(Ampere)^{2}} = \dfrac{M L^{2} T^{-2}}{A^{2}} = M A^{2} A^{-2} T^{-2}$$

d) $$ohm - second = M L^{2} A^{-2} T^{-3} T^{1} = M L^{2} A^{-2} T^{-2}$$

Hence, option D is correct.

Physics

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