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JEE Advanced 2024 Paper 1

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Question : 23

Total: 51

Two uniform strings of mass per unit length µ and 4µ , and length L and 2L , respectively, are joined at point O , and tied at two fixed ends P and Q , as shown in the figure. The strings are under a uniform tension T . If we definethe frequency v0=‌

, which of the following statement(s) is(are) correct?

[JEE Adv 2024 P1]

With a node at O, the minimum frequency of vibration of the composite string is v0
With an antinode at O, the minimum frequency of vibration of the composite string is 2v0
When the composite string vibrates at the minimum frequency with a node at O, it has 6 nodes, including the end nodes
No vibrational mode with an antinode at O is possible for the composite string

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