Two strings with circular cross section and made of same material… | JEE Main 2025 (8 Apr, Shift 2)

Q11JEE Main 2025 · 8 APR · SHIFT 2Easy

Speed of Waves

Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to pass through both the strings. The velocity of the wave in the first string having the radius of cross section R is $v_1$ , and that in the other string having radius of cross section R/2 is $v_2$ . Then $\frac{v_2}{v_1}$ =

Show answer and solution

Answer: (c)

$\mu = \rho \pi R^2$ , so with equal $T$ : $v = \sqrt{T/\mu} \propto \dfrac{1}{R}$ .
$\dfrac{v_2}{v_1} = \dfrac{R}{R/2} = 2$
So the answer is (c) $2$ .

Report a mistake

More questions on Speed of Waves

Given below are two statements: one is labelled as Assertion A and the other is labelled…JEE Main 2025 (28 Jan, Shift 1)
A string of mass 0.2 Kg is under a tension of 2.5 N. The length of the string is 2 m. A…MHT CET 2024 (9 May, Shift 2)
The speed of sound in oxygen at S.T.P. will be approximately: (given, R = 8.3 JK⁻¹, γ =…JEE Main 2024 (31 Jan, Shift 2)
A steel wire with mass per unit length 7.0 × 10⁻³ kg m⁻¹ is under tension of 70 N. The…JEE Main 2023 (1 Feb, Shift 1)
The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the…JEE Main 2023 (6 Apr, Shift 2)
A uniform wire 20 m long and weighing 50 N hangs vertically. The speed of the wave at mid…MHT CET 2023 (13 May, Shift 1)
A tuning fork of frequency 220 Hz produces sound waves of wavelength 1.5 m in air at…MHT CET 2023 (12 May, Shift 2)
A wire PQ has length 4.8 m and mass 0.06 kg. Another wire QR has length 2.56 m and mass…MHT CET 2023 (14 May, Shift 2)

Speed of Waves question from JEE Main 2025 (8 Apr, Shift 2)

More questions on Speed of Waves