Question on: WAEC Physics - 1998

An electromagnetic wave of frequency 5.0 x 1014Hz, is incident on the surface of water of refractive index (\frac{4}{3}). Taking the speed of the wave in air as 3.0 x 108ms-1, calculate the wavelength of the wave in water.

A
2.2 x 10-6m
B
1.7 x 10-7m
C
8.0 x 10-7m
D
6.0 x 10-7m
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Correct Option: E

(_an_w = \frac{\lambda_a}{\lambda_w})

(\frac{4}{3} = \frac{\lambda_a}{\lambda})

(\lambda_w = \frac{v}{f})

= (\frac{3.0 \times 10^8}{5.0 \times 10^{14}} = 0.6 \times 10^{-6})

(\lambda_w = \frac{3}{4} \lambda_a = \frac{3}{4} \times 0.6 \times 10^{-6})

= 4.5 x 10-7m

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