Wave pattern on a stretched string is shown in figure. Interpret what kind of wave this is and find

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14.Waves and Sound

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The wave pattern on a stretched string is shown in figure. Interpret what kind of wave this is and find its wavelength.

Option A

Option B

Option C

Option D

Solution

Here, particles at $x=10,20,30,40, \ldots \mathrm{cm}$ remain stationary at their respective mid points of path of oscillation, which is a characteristic of nodal points. Distance between two consecutive nodal points is $\frac{\lambda}{2}$ which is here,

$\frac{\lambda}{2}=(20-10)=10$

$\therefore \lambda=20 \mathrm{~cm}$

Standard 11

Physics

A string is clamed at both the ends and it is vibrating in its $4^{th}$ harmonic. The equation of the stationary wave is $Y =0.3\,sin\,(0.157\,x) \,cos\,(200\pi t)$. The length of the string is ….. $m$ (all quantities are in $SI$ units)

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(JEE MAIN-2019)

Figure, shows a stationary wave between two fixed points $P$ and $Q$. Which point$(s)$ of $1, 2$ and $3$ are in phase with the point $X?$

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A sonometer wire of length $114\, cm$ is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio $1 : 3 : 4$ ?

hard

(JEE MAIN-2013)

The length of a son meter wire $AB$ is $110\; cm$. Where should the two bridges be placed from $A$ to divide the wire in $3$ segments whose fundamental frequencies are in the ratio of $1:2:3$?

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(AIPMT-1995)

The length of the string of a musical instrument is $90 \;cm$ and has a fundamental frequency of $120 \;Hz$. Where (In $cm$) should it be pressed to produce fundamental frequency of $180 \;Hz ?$

medium

(NEET-2020)

The wave pattern on a stretched string is shown in figure. Interpret what kind of wave this is and find its wavelength.

Solution

Similar Questions

A string is clamed at both the ends and it is vibrating in its $4^{th}$ harmonic. The equation of the stationary wave is $Y =0.3\,sin\,(0.157\,x) \,cos\,(200\pi t)$. The length of the string is ….. $m$ (all quantities are in $SI$ units)

Figure, shows a stationary wave between two fixed points $P$ and $Q$. Which point$(s)$ of $1, 2$ and $3$ are in phase with the point $X?$

A sonometer wire of length $114\, cm$ is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio $1 : 3 : 4$ ?

The length of a son meter wire $AB$ is $110\; cm$. Where should the two bridges be placed from $A$ to divide the wire in $3$ segments whose fundamental frequencies are in the ratio of $1:2:3$?

The length of the string of a musical instrument is $90 \;cm$ and has a fundamental frequency of $120 \;Hz$. Where (In $cm$) should it be pressed to produce fundamental frequency of $180 \;Hz ?$

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