Question

The wavelength of a radiation having frequency 1000Hz is:

• A. $3×10^{13}cm$
• B. $3.0×10^7 cm$
• C. $3000Ã…$
• D. 300nm

Answer 1

Answer: (B)

$3.0×10^7 cm$

Answer 2

Relation between Frequency and Wavelength can be shown by the following formula, λ = cf.
Where,
λ = wavelength of the wave
C = speed of the wave in the given medium
f = frequency of the wave

In a medium, energy is carried by a disturbance or by a vibration called a wave without a net movement of particles in that medium. Waves are crucial for the transfer of energy and it follows a periodic motion.

• Frequency can be defined as the number of cycles or turns that are made per second by an alternating quantity.
• Period (T) can be expressed as the reciprocal of the frequency and vice versa.
• While, a Wavelength is the distance between each repeated wave in both the case of Longitudinal and Transverse waves.

The wavelength of a radiation having frequency 1000 Hz is
$\lambda = \frac{C} {V}$

Here, frequency (ν), wavelength (λ) and speed of the light (C)
$\lambda = \frac{C}{V}$ = $\frac{(3\times10^8 ms^{-1})}{1000 s^{-1}}$
= 3x105 m = 3x107 cm