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Different Forms of Equations

The value of ...

Question

The value of electric field in an electromagnetic wave originating from a point source of light at a distance of 10 meter is E= 500 volt/m. The electric field at a distance of 5 meter will be

A

1000 Volt/meter

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B

2000 Volt/meter

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C

50 Volt/meter

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D

25 Volt/meter

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Solution

The correct option is B 2000 Volt/meter
As we know, $E \propto R^{- 2}$
Therefore , $E (R = 5) = \frac{500}{10^{- 2}} 5^{- 2} = 2000 V / m$

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