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Question: Two towers on the top of two hills are 40km apart. The line joining them passes 50 m above a hill ha...

Two towers on the top of two hills are 40km apart. The line joining them passes 50 m above a hill halfway between the towers. The longest wavelength of radio waves is :

A

1.25 m

B

0.125 m

C

2.50 m

D

0.250 m

Answer

0.125 m

Explanation

Solution

Using, zF=a2λz_{F} = \frac{a^{2}}{\lambda} or λ=a2zF\lambda = \frac{a^{2}}{z_{F}}

λ=(50)22×104=1250×104=0.125m\therefore\lambda = \frac{(50)^{2}}{2 \times 10^{4}} = 1250 \times 10^{- 4} = 0.125m