SATHEE: Wave Motion 4 Question 2

Wave Motion 4 Question 2

2. The correct figure that shows schematically, the wave pattern produced by superposition of two waves of frequencies $9 H z$ and $11 H z$ , is

(2019 Main, 10 April II)

(a)

(b)

(c)

(d) 0

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Answer:

Correct Answer: 2. (a)

Solution:

When waves of nearby frequencies overlaps, beats are produced.

Beat frequency is given by, $f_{beat} = f_{1} - f_{2}$

Here, $f_{1} = 11 H z$ and $f_{2} = 9 H z$ $\Rightarrow$ Beat frequency is, $f_{beat} = 11 - 9 = 2 H z$

Hence, time period of beats or time interval between beats, $T = \frac{1}{f_{beat}} \Rightarrow T = \frac{1}{2} = 0.5 s$

So, resultant wave has a time period of $0.5 s$ which is correctly depicted in option (a) only.

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Wave Motion 4 Question 2

2. The correct figure that shows schematically, the wave pattern produced by superposition of two waves of frequencies 9Hz and 11Hz, is

Answer:

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2. The correct figure that shows schematically, the wave pattern produced by superposition of two waves of frequencies $9 H z$ and $11 H z$ , is