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If the wavelength of the 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.

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If the wavelength of the 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.

(a) Increases by 33%

(b) Decreases by 33%

(c) Increases by 66%

(d) Decreases by 66%

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Answer is: (d) Decreases by 66%

Explanation:

v1 = \(\frac{c}{\lambda_1}\)

v2 = \(\frac{c}{\lambda_2}\) = \(\frac{c}{3\lambda_1}\)

%change in frequency = \(\frac{v_2 - v_1}{v_1}\) x 100

= \(\frac{\frac{3}{3 \lambda_1}-\frac{c}{\lambda_1}}{\frac{c}{\lambda_1}}\) x 100

= \(\frac{-\frac{2c}{3 \lambda_1} \times 100}{\frac{c}{\lambda_1}}\)

= - 66%

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