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White light forms a continuous spectrum of minimum wave length $3800 A^{0}$ corresponding to violet light and maximum wave length 7800 $A^{0}$ corresponding to red light. Find the minimum and maximum frequencies of white light $(c = 3 \times 10^{8} m / s)$

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$3.846 \times 10^{14} H z; 7.895 \times 10^{14} H z$

$2.546 \times 10^{14} H z; 6.985 \times 10^{14} H z$

$4.846 \times 10^{14} H z; 8.895 \times 10^{14} H z$

$1.546 \times 10^{14} H z; 5.985 \times 10^{14} H z$

answer is A.

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Detailed Solution

$f_{\min} = \frac{c}{λ_{\max}} = \frac{3 \times 10^{8}}{7800 \times 10^{- 10}} = 3, 846 \times 10^{14} Hz$

$f_{max} = \frac{c}{λ_{\min}} = \frac{3 \times 10^{8}}{3800 \times 10^{- 10}} = 7.895 \times 10^{14} Hz$

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