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Q.

Some statements about a light wave whose period is 2.0 $\times$ 10^-10 s is given below.
(I) The frequency of light waves is 5 $\times$ 10⁹ sec^-1.
(II) The wavelength of a light wave is 6.0 $\times$ 10^-2 m
(III) The wave number of a light wave is 16.66 m^-1
(IV) The wavelength of a light wave is 6.0 $\times$ 10^-2 cm^-1
Among these correct statements are

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a

(I), (II ), and (IV) only.

b

(II) and (III) only.

c

(III) and (IV) only.

d

(I), (II), and (III) only

answer is D.

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Detailed Solution

Frequency = $\frac{1}{period}$ = $\frac{1}{2 \times 10^{- 10}} = 5 \times 10^{9} s^{- 1}$

Wavelength = $\frac{C}{γ} = \frac{3 \times 10^{8}}{5 \times 10^{9}} = 6 \times 10^{- 2} m$

Wave number = $\frac{1}{λ} = \frac{1}{6 \times 10^{- 2}} = 16.66 m^{- 1}$

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Some statements about a light wave whose period is 2.0×10-10 s is given below.(I) The frequency of light waves is 5×109 sec-1.(II) The wavelength of a light wave is 6.0×10-2 m(III) The wave number of a light wave is 16.66 m-1(IV) The wavelength of a light wave is 6.0×10-2 cm-1Among these correct statements are