JEE Main20236 Apr 2023Morning ShiftPhysicsCommunication SystemActual

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 21 % ?

Options

A15 %
B12 %
C10 %
D14 %

Correct answer

C. 10 %

Step-by-step solution

The range of a TV tower antenna is given by d = 2 h R New height is given as h ' = 1 . 21 h Let the new range be d ' = 2 h ' R ⇒ d ' = 1 . 21 2 h R = 1 . 1 d So, the increase in the range is = 1 . 1 d - d d × 100 = 10 %

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