The speed of a transverse wave on a string of linear mass density μ un…

Question

The speed of a transverse wave on a string of linear mass density μ under tension T is

Accepted Answer

B. {'text': '√(T/μ)', 'label': 'B'}

1. Tension provides the restoring force for a stretched string.
2. Linear mass density μ (mass per unit length) provides the inertia.
3. Wave speed v = √(T / μ), analogous to v = √(force/inertia).
4. So doubling tension increases v by √2; doubling μ decreases v by √2.
_Source: NCERT Class 11 Physics, Ch 14 "Waves", §14.4_

Answer

{'text': 'T × μ', 'label': 'A'}

Answer

{'text': 'T / μ', 'label': 'C'}

Answer

{'text': '√(T × μ)', 'label': 'D'}