Home
Class 12
PHYSICS
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.

If the tension in each string is `T_0`, the correct match for the highest fundamental frequency in `f_0` units will be -

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MOTION|Exercise EXERCISE -4 (Level -I) (previous year JEE Main)|8 Videos

  • WAVE OPTICS

    MOTION|Exercise EXERCISE - 4 (Level - II) Previous Year | JEE Main|16 Videos

  • WORK, POWER & ENERGY

    MOTION|Exercise Exercise - 3 Section-B|22 Videos

Similar Questions

Explore conceptually related problems

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 -

Two thin rods of same length l but of different uniform mass per unit length mu_(1) and mu_(2) respectively are joined together. The system is ortated on smooth horizontal plane as shown in figure. The tension at the joint will be

When a stretched string of length L vibrating in a particular mode, the distance between two nodes on the string is l . The sound produced in this mode of vibration constitutes the nth overtone of the fundamental frequency of the string.

The frequency of vibration of string depends on the length L between the nodes, the tension F in the string and its mass per unit length m. Guess the expression for its frequency from dimensional analysis.

String-1 is connected with string-2 The mass per unit length in string-1 is mu _1 and mass per unit length in string-2 is 4mu _1. The tension in the strings is T .A travelling wave is coming from the left .What fraction of the energy in the incident wave goes into string-2?

When a string is divided into three segments of length l_1,l_2 and l_3 the fundamental frequencies of these three segments are f_1,f_2 and f_3 respectively. The original fundamental frequency f of the string is

The figure represents two snaps of a travelling wave on a string of mass per unit length mu=0.25 kg//m . The first snap is taken at t=0 and the second is taken at t=0.05 s . Determine the tension in the string.