Question

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Find the wavelengths of electromagnetic waves with the following frequencies. (Assume the waves are traveling in a vacuum.) 19 (a) 2.50 X 10 Hz (Enter your answer in pm.) pm (b) 5.50 X 100 Hz (Enter your answer in cm.) cm

Answer 1

Part (a)

Speed of light in vacuum = c = 3 x 10⁸ m/s

Frequency of the electromagnetic wave = f = 2.50 x 10¹⁹ Hz

Wavelength of the electromagnetic work = $\lambda$

c= f

$\lambda = \frac{c}{f}$

$\lambda = \frac{3\ast 10^{8}}{2.50\ast 10^{19}}$

$\lambda$ = 1.2 x 10^-11 m

1 picometer = 10^-12 meter

$\lambda$ = 12 pm

Part (b)

Speed of light in vacuum = c = 3 x 10⁸ m/s

Frequency of the electromagnetic wave = f = 5.50 x 10⁹ Hz

Wavelength of the electromagnetic work = $\lambda$

c= f

$\lambda = \frac{c}{f}$

$\lambda = \frac{3\ast 10^{8}}{5.50\ast 10^{9}}$

$\lambda$ = 0.0545 m

$\lambda$ = 5.45 cm

a) Wavelength of the electromagnetic wave with a frequency of 2.50 x 10¹⁹ Hz = 12 pm

b) Wavelength of the electromagnetic wave with a frequency of 5.50 x 10⁹ Hz = 5.45 cm