Sponsor Area

Wave Optics

Question
CBSEENPH12038951

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

Solution

Range is given by, 
dT = 2RhT Let the transmission of the tower before transmission be dT1 Range after increase in height is given by, dT2 Ratio of their range is given by, dT1dT2 = 2RhT22RhT1 = hT2hT1 

Given that height increase = 21%

Thus, 121100hT1 = hT2dT2dT1 = 121hT1100 hT2  dT2 : dT1 = 11: 10 Percentage increase in height is given by, dT2 - dT1dT1×100 = 11-1010×100                                 = 10%