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Question: The electric field intensity produced by the radiations coming from100 W bulb at a 3m distance is E....

The electric field intensity produced by the radiations coming from100 W bulb at a 3m distance is E. The electric field intensity produced by the radiations coming from 50 W bulb at the same distance is

A

E2\frac{E}{2}

B

2E

C

E2\frac{E}{\sqrt{2}}

D

2E\sqrt{2}E

Answer

E2\frac{E}{2}

Explanation

Solution

: Electric field intensity on a surface due the incident radiation is.

E=UAt=PA(Ut=P)E = \frac{U}{At} = \frac{P}{A}\left( \because\frac{U}{t} = P \right)

EP\therefore E \propto P (for the given area of the surface)

EE=PP=50100=12\therefore\frac{E'}{E} = \frac{P'}{P} = \frac{50}{100} = \frac{1}{2}

E=E2E' = \frac{E}{2}