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A point source of electromagnetic radiat...

A point source of electromagnetic radiation has an average power output of `1500W`. The maximum value of electric field at a distance `3m` from this source in `Vm^-1` is

A

500

B

100

C

`(500)/(3)`

D

`(250)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B

Average intensity of electromagnetic waves is
`I = (P)/( 4pi r ^(2)) = 1/2 epsi _(0) E _(0) ^(2) c or E _(0) [ (P)/( 2pi r ^(2) epsi _(0) x )] ^(1//2) `
Substituting the given vlaues, we get
`E _() [ (1500 )/( 2pi ( 3 ) ^(2) xx [ (1 //4pi xx 9 xx 10 ^(9)) ] xx 3 xx 10 ^(8))]^(1//2)`
`= 100 V m ^(-1)`
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