Question:

Radar waves are sent towards a moving airplane and the reflected waves are received. When the airplane is moving towards the radar, the wavelength of the wave

Updated On: Apr 15, 2024
  • decrease
  • increase
  • remains the same
  • sometimes increase or decrease
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The Correct Option is A

Solution and Explanation

Here, $v_{s}=0$ and $v_{L}$ is negative where $v_{s}$ is velocity of source and $v_{L}$ is velocity of listener (aeroplane)
If apparent frequency is $v^{\prime}$ and $v$ is actual frequency, then $ v^{\prime} =\frac{v-\left(-v_{L}\right)}{v} v $ $=\frac{v+v_{L}}{v} v$ i.e., $v^{\prime} > v$ So, apparent frequency will increase, it means apparent wavelength will decrease.
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Concepts Used:

Waves

Waves are a disturbance through which the energy travels from one point to another. Most acquainted are surface waves that tour on the water, but sound, mild, and the movement of subatomic particles all exhibit wavelike properties. inside the most effective waves, the disturbance oscillates periodically (see periodic movement) with a set frequency and wavelength.

Types of Waves:

Transverse Waves -

Waves in which the medium moves at right angles to the direction of the wave.

Examples of transverse waves:

  • Water waves (ripples of gravity waves, not sound through water)
  • Light waves
  • S-wave earthquake waves
  • Stringed instruments
  • Torsion wave

The high point of a transverse wave is a crest. The low part is a trough.

Longitudinal Wave -

A longitudinal wave has the movement of the particles in the medium in the same dimension as the direction of movement of the wave.

Examples of longitudinal waves:

  • Sound waves
  • P-type earthquake waves
  • Compression wave