Wave speed or frequency of a string is proportional to the square root of the tension
This type of question, asked 6 times: 3 May 2023 S2, 9 May 2023 S1, 20 Apr 2025 S2, 15 Apr 2026 S1, 15 Apr 2026 S2, 15 May 2026 S1. All 6 questions below, oldest first.
Try each one first, then open its answer.
Question 1
3 May 2023 S2
26A violin emits sound waves of frequency '' under tension . When tension is increased by 44%, keeping the length and mass per unit length constant, frequency of sound waves becomes ''. The ratio of frequency '' to frequency '' isTap an option to check your answer.
Question 2
9 May 2023 S1
14When the tension in a string is increased by 3 kg-wt, the frequency of the fundamental mode increases in the ratio 2 : 3. The initial tension in the string isTap an option to check your answer.
Question 3
20 Apr 2025 S2
41The frequency of a stretched uniform wire of length L under tension is in resonance with the fundamental frequency of a closed pipe of same length. If the tension in the wire is increased by 8 N , it is in resonance with the first overtone of the same closed pipe. The initial tension in the wire isTap an option to check your answer.
Question 4
15 Apr 2026 S1
121A wire is under tension of kg wt and a wave is travelling through it with some speed. Tension in the wire is so increased that the wave travels through it with thrice the original speed. The increase in tension is (in kg wt)Tap an option to check your answer.
Question 5
15 Apr 2026 S2
123To increase the frequency of transverse oscillations of a stretched string by 40%, the tension must be increased byTap an option to check your answer.
Question 6
15 May 2026 S1
123The speed of a wave on a string is m/s when the tension is N. The percentage increase in the tension to raise the wave speed by isTap an option to check your answer.