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

Solution

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