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JEE Advanced 2019 Paper 2

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Question : 16

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 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

The length of the strings 1, 2, 3 and 4 are kept fixed atL0,‌‌

respectively. Strings 1, 2, 3, and 4 are vibrated at their 1st, 3rd, 5th, and 14th harmonics,respectively such that all the strings have same frequency. The correct match for the tension in the four strings in the units of T0 will be

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

1
2
3
4

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