Match the following: Column-I Column-II (a) Transverse wave through a steel rod (i) B+43ηρ (b) Longitudinal waves in earth's crust (ii) ηρ (c) Longitudinal waves through a steel rod (iii) 2πTgλ (d) Ripples (iv) λρ

(B) (a−i),(b−iii),(c−iv),(d−ii)

(C) (a−iii),(b−iv),(c−i),(d−ii)

(D) (a−ii),(b−iv),(c−i),(d−iii)

AP EAMCET · PHYSICS · Waves and Sound

Match the following:

Column $- I$ Column $- II$

(a) Transverse wave through a steel rod (i) $\sqrt{B + (\frac{4}{3}) \frac{η}{ρ}}$

(b) Longitudinal waves in earth's crust (ii) $\sqrt{\frac{η}{ρ}}$

(c) Longitudinal waves through a steel rod (iii) $\sqrt{\frac{2 π T}{g λ}}$

(d) Ripples (iv) $\sqrt{\frac{λ}{ρ}}$

A $(a - i i), (b - i), (c - i v), (d - i i i)$
B $(a - i), (b - i i i), (c - i v), (d - i i)$
C $(a - i i i), (b - i v), (c - i), (d - i i)$
D $(a - i i), (b - i v), (c - i), (d - i i i)$

Verified Solution

Answer & Solution

Correct Answer

(A) $(a - i i), (b - i), (c - i v), (d - i i i)$

Step-by-step Solution

Detailed explanation

A wave is a disturbance that propagates energy from one place to another without transporting any matter.Waves travelling through a solid medium can be either transverse waves or longitudinal waves. Transverse wave cannot travel through liquid or gas as it require a relatively…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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	Column $- I$		Column $- II$
(a)	Transverse wave through a steel rod	(i)	$\sqrt{B + (\frac{4}{3}) \frac{η}{ρ}}$
(b)	Longitudinal waves in earth's crust	(ii)	$\sqrt{\frac{η}{ρ}}$
(c)	Longitudinal waves through a steel rod	(iii)	$\sqrt{\frac{2 π T}{g λ}}$
(d)	Ripples	(iv)	$\sqrt{\frac{λ}{ρ}}$