If the wavelength of electromagnetic radiation is increased to thrice the digital value, then what will be the percent change in the value of frequency of the electromagnetic radiation?
Correct answer: B. Decreases by 66%
- A. Increases by 33%
- B. Decreases by 66%
- C. Increases by 66%
- D. Decreases by 33%
Explanation
We know that v can be expressed as: v = c/λ₁. Where v is the frequency, c is the speed of light and λ is the wavelength. v = c/λ₂ = c/3λ₁ % change in the frequency = {(v₂ - v₁) / v₁} * 100 By substituting the given values in the above expression we get the value of the % of the change in the frequency, % change in the frequency = {(c/3λ₁ - c/λ₁) / c/λ₁} * 100 = {(-2c/3λ₁) / c/λ₁} * 100 = (-2/3) * 100 = -0.66 * 100 = -66% Hence, if the wavelength of the electromagnetic radiation is increased to thrice the digital value, then the percent change in the value of frequency of the electromagnetic radiation is decreased by 66%.
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