A steel wire with mass per unit length 7.0 × 10⁻³ kg m⁻¹ is under tension of 70 N. The speed of transverse waves in the wire will be: (a) 10 m/s (b) 50 m/s (c) 100 m/s (d) 200π m/s

Answer: (c). v = √(T/μ) = √707×10⁻³ = √(10⁴) So the answer is (c) 100 m/s.

A steel wire with mass per unit length 7.0 × 10⁻³ kg m⁻¹ is under… | JEE Main 2023 (1 Feb, Shift 1)

Q15JEE Main 2023 · 1 FEB · SHIFT 1Easy

Speed of Waves

A steel wire with mass per unit length $7.0 \times 10^{-3}\text{ kg m}^{-1}$ is under tension of $70\text{ N}$ . The speed of transverse waves in the wire will be:

Show answer and solution

Answer: (c)

$v = \sqrt{T/\mu} = \sqrt{\dfrac{70}{7\times10^{-3}}} = \sqrt{10^4}$
So the answer is (c) $100$ m/s.

Report a mistake

More questions on Speed of Waves

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)
A uniform rope of length ' L ' and mass ' m₁ ' hangs vertically from a rigid support. A…MHT CET 2023 (10 May, Shift 2)
If the initial tension on a stretched string is doubled, then the ratio of the initial…NEET 2022 (Phase 1)
An organ pipe filled with a gas at 27 ° C resonates at 400 Hz in its fundamental mode. If…NEET 2022 (Phase 2)
The percentage increase in the speed of transverse waves produced in a stretched string…JEE Main 2021 (25 Feb, Shift 2)

Speed of Waves question from JEE Main 2023 (1 Feb, Shift 1)

More questions on Speed of Waves