A wave is transmitted from a denser to rarer medium. Then, match the following columns and mark the correct…

A wave is transmitted from a denser to rarer medium. Then, match the following columns and mark the correct option from the codes given below. | Column I | Column II | | --- | --- | | (A) Frequency of wave | (p) will increase | | (B) Speed of wave | (q) will decrease | | (C) Wavelength of wave | (r) will remain unchanged | | (D) Amplitude of wave | (s) may increase or decrease |
  1. (a) q r p s
  2. (b) p q r p
  3. (c) r p p p
  4. (d) p r q s

Solution

Frequency is a property of the source and remains unchanged; $\lambda=\dfrac{v}{f}$ so $\lambda\propto v$. Amplitude relation used: $A_2=\left(\dfrac{2v_2}{v_1+v_2}\right)A_1$. Since $v_2>v_1$, $A_2>A_1$. Hence the column matches are: A→r, B→p, C→p, D→p (option (c)).

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