Match Wave Nature and Speed – Rankers Physics

Waves and its Characteristics: Practice Problem & Solution

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)

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Waves and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

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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