MHT-CET Physics Crash Course “Formation of Beats” Class 12

“Formation of Beats” MHT-CET Class 12 Physics Crash Course | Chapter – Superposition of Waves

In this session G.S. Khairnar discussed the theory and MCQ’s of “Formation of Beats”. The session will be useful for all the aspirants of MHT-CET 2022. The session will be in Marathi and English.

Formation of Beats:-

Hello everyone, we have learnt about the superposition of waves. When two or more than two waves overlapped, the intensity of sound waves gets modified, i.e. interference of sound due to overlapping of waves. In interference of sound waves, the resultant intensity increases and decreases alternately, which is termed as beats.

Formation of beats:-

The production of alternate waxing and waning sound due the superposition of two sound waves of equal amplitude but slightly different frequencies is called beats.

Some important definitions:-

  • Waxing: The Maximum of sound is called waxing. (i.e. resultant amplitude should be maximum)
  • Waning: The minimum of sound is called waning. (i.e. resultant amplitude should be minimum)
  • One beat: The waxing & one waning is forms one beat.
  • Period of beat: The time interval between two successive waxing (and waning) is called the period of beat.
  • Beat frequency: The number of beats heard per second is called beat frequency.

Let’s understand the concept in analytical method…!

Consider the two eaves producing beats.et ‘a’ be the amplitude and n1,n2 be the frequencies of the two waves such that n1 > n2.

The displacement of particle,

Y1 = a sin1t = sinn1t ……….(1)

Y2 = a sin2t = sinn2t ……….(2)

Equation (3) shows that resultant motion is also simple harmonic motion, where ‘R’ is amplitude of resultant motion.

Conditions of waxing:  For waxing the amplitude should be maximum so that,

Therefore the frequency of waxing is given as,

N= ………(4)

Conditions of waning: – For waxing the amplitude should be minimum so that,

R = 0

From equation (4) and (5) we conclude that the waxing and waning are alternately situated in a medium, when waves interferes each other.


Formation of Beats:-

Let’s solve some MCQ’s….!

Q.1) The alternate increase and decrease in intensity of sound due to superposition of waves is called as…….

a) resonance

b) unison

c) beats

d) none of these

Answer

c) beats

Q.2) The point in medium during formation of beats where the intensity of sound is maximum is …….

a) waxing

b) waning

c) resonance

d) none of these

Answer

a) waxing

Q.3) The point in medium during formation of beats where the intensity of sound is minimum is …….

a) waxing

b) waning

c) resonance

d) none of these

Answer

b) waning

Q.4) The time interval between two successive waxing is…….

Q.5) The time interval between consecutive waxing and waning is…….

Q.6) Two tuning fork produces 6 beats when unison with the sonometer wires at lengths of 24 cm and 30 cm respectively. The frequencies of forks respectively are…….

a) 30 Hz,24 Hz

b) 24 Hz,30 Hz

c) 60 Hz,54 Hz

d) 40 Hz,34 Hz

Answer

a) 30 Hz,24 Hz


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७ वी (7th) दहावी (SSC) बारावी (HSC) डिप्लोमा आय.टी.आय पदवी
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