A tuning fork gives $4$ beats with $50\, cm$ length of a sonometer wire if the length of the wire is shortened by $1\, cm$. the no. of beats still the same. The frequency of the fork is -............. $\mathrm{Hz}$
Medium
Download our app for free and get started
$n \propto \frac{1}{l}$
$\frac{n-4}{n+4}=\frac{49}{50}$
$\mathrm{n}=396 \mathrm{\,Hz}$
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
- 1Which of the following is $CORRECT$View Solution
- 2Fig. below shows the wave $y = A\sin (\omega t - kx)$ at any instant travelling in the $+ve$ $x-$direction. What is the slope of the curve at $B$View Solution
- 3The displacement $y$ of a wave travelling in the x-direction is given by $y = {10^{ - 4}}\sin \,\,\left( {600t - 2x + \frac{\pi }{3}} \right)$ metres, where $x$ is expressed in metres and $t$ in seconds. The speed of the wave-motion, in ..... $ms^{-1}$, isView Solution
- 4A parallel beam of light is incident on a tank filled with water up to a height of $61.5 \,mm$ as shown in the figure below. Ultrasonic waves of frequency $0.5 \,MHz$ are sent along the length of the water column using a transducer placed at the top and they form longitudinal standing waves in the water. Which of the schematic plots below best describes the intensity distribution of the light as seen on the screen? (Take, the speed of sound in water to be $1500 \,m / s$ )View Solution
- 5The frequency of a sound wave is $n$ and its velocity is $v$. If the frequency is increased to $4n,$ the velocity of the wave will beView Solution
- 6A taut string at both ends vibrates in its $n^{th}$ overtone. The distance between adjacent Node and Antinode is found to be $'d'$. If the length of the string is $L,$ thenView Solution
- 7A uniform string oflength $20\ m$ is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the supports is (take $g= 10 $ $ms^{-2}$ )View Solution
- 8The frequency of echo will be $.......Hz$ if the train blowing a whistle of frequency $320\,Hz$ is moving with a velocity of $36\,km / h$ towards a hill from which an echo is heard by the train driver. Velocity of sound in air is $330\,m / s$.View Solution
- 9Equation of travelling wave on a stretched string of linear density $5\,g/m$ is $y = 0.03\,sin\,(450\,t -9x)$ where distance and time are measured in $SI$ united. The tension in the string is ... $N$View Solution
- 10The first overtone of a stretched wire of given length is $320 Hz$. The first harmonic is .... $Hz$View Solution