Two sitar strings A and B playing the note Sa | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The frequency of a stretched string is given by $v = \frac{1}{2L} \sqrt{\frac{T}{\mu}}$. Thus,$v \propto \sqrt{T}$.When the tension $T$ of string

Vedclass · Accepted Answer

$260$

Vedclass · Answer

(C) The frequency of a stretched string is given by $v = \frac{1}{2L} \sqrt{\frac{T}{\mu}}$. Thus,$v \propto \sqrt{T}$.When the tension $T$ of string $B$ is decreased,its frequency $v_B$ decreases.Initially,the beat frequency is $|v_B - v_A| = 5 \ Hz$. This means $v_B$ could be $255 + 5 = 260 \ Hz$ or $255 - 5 = 250 \ Hz$.If $v_B = 250 \ Hz$,decreasing the tension would make $v_B$ even smaller (e.g.,$248 \ Hz$),which would increase the beat frequency to $|248 - 255| = 7 \ Hz$.However,the problem states that the beat frequency decreases to $3 \ Hz$.If $v_B = 260 \ Hz$,decreasing the tension makes $v_B$ smaller (e.g.,$258 \ Hz$),which results in a new beat frequency of $|258 - 255| = 3 \ Hz$.This matches the given condition.Therefore,the original frequency of $B$ is $260 \ Hz$.

Similar Questions

Two identical wires have the same fundamental frequency of $400 \text{ Hz}$ when kept under the same tension. If the tension in one wire is increased by $2\%$,the number of beats produced will be

The maximum number of beats per second that a human ear can distinguish is

Two identical stringed instruments have a frequency of $100 \ Hz$. If the tension in one of them is increased by $4\%$ and they are sounded together,then the number of beats produced in one second is:

The displacement equations of sound waves produced by two sources are given by $y_1 = 5 \sin(400 \pi t)$ and $y_2 = 8 \sin(408 \pi t)$, where $t$ is time in seconds. If the waves are produced simultaneously, the number of beats produced per minute is

The wavelengths of two notes in air are $\frac{36}{195} \,m$ and $\frac{36}{193} \,m$. Each note produces $10$ beats per second separately with a third note of fixed frequency. The velocity of sound in air in $m/s$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module