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# Two towers on top of two hills are 40 km apart. The line joining them passes 50 m above a hill halfway between the towers. What is the longest wavelength of radio waves, which can be sent between the towers without appreciable diffraction effects?

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Two towers on top of two hills are 40 km apart. The line joining them passes 50 m above a hill halfway between the towers. What is the longest wavelength of radio waves, which can be sent between the towers without appreciable diffraction effects?

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1. Solution:

For diffraction of radio waves not to occur the distance of middle hill should be less than fresnel distance for a slit width ‘a’ of 50 m.

Distance between one of the towers and the hill halfway in between

Longest wavelength of radio wave which can be sent without appreciable diffraction effect

Thus wavelength of radio waves longer than 12.5 cm will bend due to the hill in the middle of towers.

Check the complete chapter with solutions.

NCERT Solutions for 12th Class Physics: Chapter 10-Wave Optics

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