JEE Advanced 2020 Full Test 7 Paper 2

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