A tuning fork of frequency $480 Hz$ produces $10$ beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces lesser beats per second than before ..... $Hz$
Medium
Download our app for free and get started
(b) If suppose $n_S$ = frequency of string $ = \frac{1}{{2l}}\sqrt {\frac{T}{m}} $
$n_f$ = Frequency of tuning fork $= 480 Hz$
$x =$ Beats heard per second $= 10$
as tension $T$ increases, so $ n_S$ increases ($\uparrow$)
Also it is given that number of beats per sec decreases (i.e. $x\downarrow$)
Hence $ n_S\uparrow -n_f = x\downarrow$ ... $(i)$ $\rightarrow$ Wrong
$n_f -nS\uparrow = x\downarrow$ ... $(ii)$ $\rightarrow$ Correct
$\Rightarrow$ $n_S = n_f -x = 480 -10 = 470 Hz.$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View SolutionWhich of the following equations represents a wave
- 2A train has just complicated a $U-$curve in a track which is a semicircle. The engine is at the forward end of the semi circular part of the track while the last carriage is at the rear end of the semicircular track. The driver blows a whistle of frequency $200 Hz.$ Velocity of sound is $340 m/sec$. Then the apparent frequency as observed by a passenger in the middle of a train when the speed of the train is $30 m/sec$ is ... $Hz$View Solution
- 3A wave travels on a light string.The equation of the wave is $Y = A \,\sin \,(kx - \omega t + 30^o)$.It is reflected from a heavy string tied to an end of the light string at $x = 0$. If $64\%$ of the incident energy is reflected the equation of the reflected wave isView Solution
- 4View SolutionWhich of the following graphs is/are correct.
- 5A transverse wave travels on a taut steel wire with a velocity of ${v}$ when tension in it is $2.06 \times 10^{4} \;\mathrm{N} .$ When the tension is changed to $T$. the velocity changed to $\frac v2$. The value of $\mathrm{T}$ is close toView Solution
- 6Two sound waves of intensity $2 \,W / m ^2$ and $3 \,W / m ^2$ meet at a point to produce a resultant intensity $5 \,W / m ^2$. The phase difference between two waves is ......View Solution
- 7Consider two sound sources $S_1$ and $s_2$ having same frequency $100\,\,Hz$ and the observer $O$ located between them as shown in the fig. All the three are moving with same velocity in same direction. The beat frequency of the observer is .... $Hz$View Solution
- 8Transverse wave propagates in a medium with a velocity of $1450\,m/s$ . The distance between the nearest points at which the oscillations of the particles carried in the opposite phase $\pi $ is $0.1\,m$ . What is the frequency of the wave ..... $Hz$ ?View Solution
- 9View SolutionA transverse wave is travelling along a string from left to right. The adjoining figure represents the shape of the string at a given instant. At this instant, among the following, choose the wrong statement.
- 10A particle of mass $5 × 10^{-5}\ kg$ is placed at lowest point of smooth parabola $x^2$ = $40y$ ($x$ and $y$ in $m$) (in $rad/s$). If it is displaced slightly such that it is constrained to move along parabola, angular frequency of oscillation will be approximatelyView Solution
