Frequency of a stretched string when its length, diameter, tension or density changes
This type of question, asked 8 times: 4 May 2023 S1, 10 May 2024 S1, 11 May 2024 S2, 12 May 2024 S1, 20 Apr 2025 S1, 26 Apr 2025 S1, 20 Apr 2026 S1, 15 May 2026 S1. All 8 questions below, oldest first.
Try each one first, then open its answer.
Question 1
4 May 2023 S1
32A string A has twice the length, twice the diameter, twice the tension and twice the density of another string B. The overtone of A which will have the same fundamental frequency as that of B isTap an option to check your answer.
Question 2
10 May 2024 S1
16If length of stretched string is reduced by 40% and tension is increased by 44%, the ratio of final to initial frequency isTap an option to check your answer.
Question 3
11 May 2024 S2
7A sonometer wire 'A' of diameter 'd' under tension 'T' having density '' vibrates with fundamental frequency 'n'. If we use another wire 'B' which vibrates with same frequency under tension '2T' and diameter '2D', then density '' of wire 'B' will beTap an option to check your answer.
Question 4
12 May 2024 S1
1A uniform string is vibrating with a fundamental frequency . If radius and length of string both are doubled keeping tension constant then the new frequency of vibration isTap an option to check your answer.
Question 5
20 Apr 2025 S1
45A wire of length , diameter ' ' density of material ' e ' is under tension ' T ', having fundamental frequency of vibration . Another wire of length 2 L , tension 2 T , density 2 e and diameter 3d has fundamental frequency of vibration . The ratio isTap an option to check your answer.
Question 6
26 Apr 2025 S1
31Fundamental frequency of sonometer wire is ' '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will beTap an option to check your answer.
Question 7
20 Apr 2026 S1
120A wire of length '', diameter '', density of material '' is under tension '' has fundamental frequency of vibration ''. Another wire of length '', diameter '', density of material '' is vibrated under tension '', the fundamental frequency of vibration becomes ''. The ratio isTap an option to check your answer.
Question 8
15 May 2026 S1
122A uniform wire of length , diameter and density is stretched under tension . The relation between its fundamental frequency , length and diameter isTap an option to check your answer.