Question

Calculate the wavelength, frequency and wavenumber of a light wave whose period is 3.0 x 10⁻¹⁰ s.

Answer 1

Time period = T =

$3 \times {10}^{ - 10} s$

Frequency = f = 1/T =

$\frac{1}{3 \times 10 {}^{ - 10} } = 0.33 \times {10}^{10 } \\ = 3.33 \times {10}^{9} hz$

Wavelength = c/f = cT

where, c is the speed of light

T is the time period

=

$(3 \times {10}^{8} ) \times (3 \times {10}^{ - 10} ) \\ = 9 \times {10}^{ - 2} m \\ = 9cm$

Wave number = 1/Wavelength

=

$\frac{1}{9 \times {10}^{ - 2} } = 0.11 \times {10}^{2} = 11 {m}^{ - 1}$

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