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

The Correct Option is B

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