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JEE Advanced 2019 Paper 2

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Question : 15

Total: 54

Answer the following by appropriately matching the lists based on the information given in the paragraph
A musical instrument is made using four different metal strings 1, 2, 3 and 4 with mass per unit length µ,2µ,3µ and 4µ respectively. The instrument is played by vibrating the strings by varying the free length in between the range L0 and 2L0 It is found that in string-1 (µ) at free length L0 and tension T0 the fundamental mode frequency is f0 List-I gives the above four strings while list-II lists the magnitude of some quantity.

List I	List II
I) String-1(µ)	P) 1
II) String 2(2µ)	Q) 1/2
III) String-3(3µ)	R) 1/√2
IV) String-4(4µ)	S) 1/√3
	T) 3/16
	U) 1/16

If the tension in each string is T0 the correct match for the highest fundamental frequency in f0 units will be,

	I	II	III	IV
1)	P	Q	T	S
2)	Q	P	R	T
3)	P	R	S	Q
4)	Q	S	R	P

1
2
3
4

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