Radio waves travel in air at 3.0 x 10 8 ms -1 . If the
MATHEMATICS
WAEC 2005
Radio waves travel in air at 3.0 x 108ms-1. If the waves enter water of refractive index \(\frac{4}{3}\), calculate the speed of radio waves in water
- A. 4.33 x 108ms-1
- B. 4.00 x 108ms-1
- C. 2.25 x 108ms-1
- D. 1.33 x 108ms-1
Correct Answer: C. 2.25 x 108ms-1
Explanation
\(_an_w = \frac{4}{3} = \frac{\text{speed of light in air}}{\text{speed of light in water}}\)
\(\frac{4}{3} = \frac{3 \times 10^8}{x}\)
x = \(\frac{9 \times 10^4}{4}\)
= 2.25 x 108m/s
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