Two tuning forks $A$ and $B$ give $4$ beats per second. The frequency of $A$ is $256 Hz$. On loading $B$ slightly, we get $5$ beats in $2$ seconds. The frequency of $B$ after loading is .... $Hz$
Medium
Download our app for free and get started
(c) $n_A$ = Known frequency$ = 256 Hz, n_B = ?$
$x = 4$ beats per sec which is decreasing ($4\, bps$ to $\frac{5}{2}bps$) after loading (i.e. $x\downarrow$)
Unknown tuning fork $B,$ is loaded so $ n_B\downarrow$
Hence $n_A -n_B\downarrow = x\downarrow$ ... $(i)$ $\rightarrow$ Wrong
$n_B\downarrow-n_A = x\downarrow$ ... $(ii)$ $\rightarrow$ Correct
$\Rightarrow$ $n_B = n_A + x = 256 + 4 = 260 Hz.$
$x = 4$ beats per sec which is decreasing ($4\, bps$ to $\frac{5}{2}bps$) after loading (i.e. $x\downarrow$)
Unknown tuning fork $B,$ is loaded so $ n_B\downarrow$
Hence $n_A -n_B\downarrow = x\downarrow$ ... $(i)$ $\rightarrow$ Wrong
$n_B\downarrow-n_A = x\downarrow$ ... $(ii)$ $\rightarrow$ Correct
$\Rightarrow$ $n_B = n_A + x = 256 + 4 = 260 Hz.$
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
- 1The displacement of the interfering light waves are ${y_1} = 4\sin \omega \,t$ and ${y_2} = 3\sin \left( {\omega \,t + \frac{\pi }{2}} \right)$. What is the amplitude of the resultant waveView Solution
- 2View SolutionThe intensity of sound increases at night due to
- 3A wave equation is $y = 10^{-4}\, sin\, (60 t + 2x)$ Where $x$ and $y$ are in $metres$ and $t$ is in $sec$ . Which of the following statements is correct ?View Solution
- 4An engine whistling at a constant frequency $n_0$ and moving with a constant velocity goes past a stationary observer. As the engine crosses him, the frequency of the sound heard by him changes by a factor $f$. The actual difference in the frequencies of the sound heard by him before and after the engine crosses him isView Solution
- 5The frequency of a car horn encountered a change from $400\, {Hz}$ to $500\, {Hz}$, when the car approaches a vertical wall. If the speed of sound is $330\, {m} / {s}$. Then the speed of car is $.....\,{km} / {h} .$View Solution
- 6Two sources of sound $S_1$ અને $S_2$ are moving towards and away from a stationary observer with the same speed respectively. Observer detects $3$ beats per second. Find speed of source (approximately). (in $m/s$)View Solution
Given, $F 1= F 2=500\, Hz$. speed of air $=330\, m / s$
- 7View SolutionThe note"Saa" on the Sarod and the Sitar have the same pitch. The property of sound that is most important in distinguishing between the two instruments is
- 8Two opens organ pipes of length $50\, cm$ and $50.5\, cm$ produce three beats. Then, the velocity of sound is ..... $m/s$View Solution
- 9A wave equation which gives the displacement along $y-$direction is given by $y = 0.001\sin (100t + x)$ where $x$ and $y$ are in meterand t is time in second. This represented a waveView Solution
- 10Two vibrating tuning forks produce progressive waves given by $y_1= 4 \sin (500 \, \pi t)$ and $y_2= 2 \sin (506 \, \pi t)$. These tuning forks are held near the ear of a person. The person will hearView Solution