In Melde's experiment, the string vibrates in $4$ loops when a $50 \,gram$ weight is placed in the pan of weight $15\, gram.$ To make the string to vibrates in $6$ loops the weight that has to be removed from the pan is
Diffcult
Download our app for free and get started
(c) Frequency of vibration of string is given by
$n = \frac{p}{{2l}}\sqrt {\frac{T}{m}} $==> $p\sqrt T = $constant ==> $\frac{{{p_1}}}{{{p_2}}} = \sqrt {\frac{{{T_2}}}{{{T_1}}}} $
Hence $\frac{4}{6} = \sqrt {\frac{{{T_2}}}{{(50 + 15)gm{\rm{ - }}force}}} $==> ${T_2} = 28.8\,gm{\rm{ - }}f$
Hence weight removed from the pan
$ = {T_1} - {T_2} = 65 - 28.8 = 3.62\,gm-force = 0.036 kg-f.$
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
- 1For a particular resonance tube, following are four of the six harmonics below $1000 Hz$; $300,600,750$ and $900 \,Hz$. The two missing harmonics areView Solution
- 2In one metre long open pipe what is the harmonic of resonance obtained with a tuning fork of frequency $480 Hz$View Solution
- 3A tuning fork $A$ of unknown frequency produces $5\, beats/s$ with a fork of known frequency $340\, Hz$. When fork $A$ is filed, the beat frequency decreases to $2\, beats/s.$ What is the frequency of fork $A$ ? (in $Hz$)View Solution
- 4View SolutionWhen we hear a sound, we can identify its source from
- 5View SolutionWhich one of the following does not represent a travelling wave
- 6An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency ... $\%$View Solution
- 7View SolutionThe sound carried by air from a sitar to a listener is a wave of the following type
- 8Two uniform strings $A$ and $B$ made of steel are made to vibrate under the same tension. if the first overtone of $ A$ is equal to the second overtone of $B$ and if the radius of $A$ is twice that of $B,$ the ratio of the lengths of the strings isView Solution
- 9The intensity of sound from a radio at a distance of $2$ metres from its speaker is $1 \times {10^{ - 2}}\mu \;W/{m^2}.$ The intensity at a distance of $10$ meters would beView Solution
- 10A transverse harmonic wave on a string is described by $y = 3 \sin \,(36t + 0.018x + \frac{\pi}{4})$ where $x$ and $y$ are in $cm$ and $t$ in $s$. The least distance between two sucessive crests in the wave is .... $m$View Solution