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A musical instrument is made using four ...

A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length
`mu,2mu,3mu and 4mu` respectively. The instrument is played by vibrating the strings by varying the free length in between the range
`L_0 and 2L_0`. It is found that in string-1
`(mu)` at free length `L_0` and tension `T_0` the fundamental mode frequency is `f_0` .
List-I gives the above four strings while list-II lists the magnitude of some quantity.

The length of the strings 1,2,3 and 4 are kept fixed
at `L_0 ,(3L_0)/2,(5L_0)/4 and (7L_0)/4`, respectively . S trings
1,2,3 and 4 are vibrated at their `1^(st), 3^(rd), 5^(th) and 14^(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 -

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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