First slide

Electromagnetic spectrum

Question

White light forms a continuous spectrum of minimum wavelength 3800 A⁰ corresponding to violet light and maximum wavelength 7800 A⁰ corresponding to red light. Find the minimum and maximum frequencies of white light. (c = 3 ×10⁸ m/s).

Moderate

A

3.846 × 10¹⁴ Hz; 7.895 × 10¹⁴ Hz
B

2.546 × 10¹⁴ Hz; 6.985 × 10¹⁴ Hz
C

4.846 × 10¹⁴ Hz; 8.895 × 10¹⁴ Hz
D

1.546 × 10¹⁴ Hz; 5.985 × 10¹⁴ Hz

Solution

$\begin{array}{rcl} f_{\min} & = & \frac{v}{λ_{\max}}, f_{\max} = \frac{v}{λ_{\min}} \\ f_{\min} & = & \frac{3 x 10^{8}}{7800 x 10^{- 10}} = 3.84 x 10^{14} \\ f_{\max} & = & \frac{3 x 10^{8}}{3800 x 10^{- 10}} = 7.895 x 10^{14} \end{array}$

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