The length of the strings 1,2,3 and 4 are kept fixed at L_{0}, \frac{3 L_{0}}{2}, \frac{5 L_{0}}{4} and \frac{7 L_{0}}{4}, respectively. Strings 1,2,3 and 4 are vibrated at their 1^{ {st}}, 3^{ {rd}}, 5^{ {th}} and 14^{\text{th }} harmonics, respectively such that all the strings have same frequency. The correct match for the tension in the four strings in the units of {T}_{0} will be

Correct Answer is : I-P, II-Q, III-T, IV-U

JEE Advanced 2020 Full Test 7 Paper 2

Answer the following by appropriately matching the list 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

Question : 12 of 54

Marks: +1, -0

The length of the strings 1,2,3 and 4 are kept fixed at L0,‌

3L0

,‌

5L0

and ‌

7L0

, 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-P, II-R, III-T, IV-U
I-P, II-Q, III-T, IV-U
I-T, II-Q, III-R, IV-U
I-P, II-Q, III-R, IV-T

Validate

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