Calculate3 marksIGCSE
A radio station broadcasts at a frequency of 9.0 × 10⁷ Hz. The speed of light is 3.0 × 10⁸ m/s. Calculate the wavelength of the waves.
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Answer: 3.3 m (3.33 m)
- v = fλ, so λ = v ÷ f
- λ = (3.0 × 10⁸) ÷ (9.0 × 10⁷)
- λ = 3.3 m
Examiner technique: Dividing powers of ten: subtract the indices. 10⁸ ÷ 10⁷ = 10¹, leaving 30 ÷ 9, which is 3.3.