Match Wave Nature and Speed – Rankers Physics
Topic: Waves
Subtopic: Waves and its Characteristics

Match Wave Nature and Speed

Match List-I with List-II where list-I denotes nature and medium of wave and list-II denotes the expression for speed of wave. (All symbols have their usual meaning)
List-I a. Transverse wave on a stretched string b. Longitudinal wave in a metallic bar c. Longitudinal wave in a fluid
List-II (i) \( \sqrt{\frac{Y}{\rho}} \) (ii) \( \sqrt{\frac{B}{\rho}} \) (iii) \( \sqrt{\frac{T}{\mu}} \)
Choose the correct option:
a(ii), b(iii), c(i)
a(i), b(ii), c(iii)
a(iii), b(i), c(ii)
a(iii), b(ii), c(i)

Solution:

Speed of a wave on a string is \( \sqrt{T/\mu} \) (a matches iii). Speed of a longitudinal wave in a metallic bar is \( \sqrt{Y/\rho} \) (b matches i). Speed of a longitudinal wave in a fluid is \( \sqrt{B/\rho} \) (c matches ii).

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