Question

14. Yellow light emitted from sodium lamp has a wavelength (~) of 600nm
Calculate the frequency of this light.​

Answer 1

Given :-

Wavelength of light (λ) = 600nm

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To find :-

Frequency (v)

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Solution :-

From the equation, c = v λ

(where c is the speed of light)

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v = c/λ .....(1)

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$\sf 1nm = 10^{-9}m$

$\sf 600nm = {600 \times 10^{-9}} m$

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Substituting the values in eq.(1),

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$\sf v = \frac{3.00 \: \times \: 10^8}{600 \: \times \: 10^{-9} }$

$\sf v = 5.00 \: x \: 10^{14}$

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∴ Frequency of yellow light emitted from Sodium lamp with a wavelength of 600nm is $\sf 5.00 \: \times \: 10^{14} \: Hz$.

Answer 2

${\huge{\bf{\red{Solution:-}}}}$

Given:-

→ Yellow light emitted from sodium lamp has a wavelength (~) of 600nm.

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Find:-

→ Calculate the frequency of this light.

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Remember:-

• Well, before going into formula always remember the terms.

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Know Terms:

• $\sf{1nm = 10^{-9} n}$.
• $\sf{600nm = 600nm \times 10^{-9} n}$.
• Speed of light (c) = $\sf{600 \times 10^{8}}$.
• nm = Nanometer.

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Using formula:-

→ ${\boxed{\bold{Frequently = \dfrac{Speed \: of \: light}{Wavelength}}}}$ or

→ F = c/λ

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Calculations:-

→ $\sf{Frequency = \dfrac{3.00 \times 10^{8}}{6.00 \times 10^{-9}}}$

→ ${\boxed{\bf{Frequency = 5.00 \times 10^{14}}}}$

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Therefore, 5.00 × 10¹⁴ is the frequency of this light.