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Standard XII

Physics

Interference in Sound Waves

A string 12...

Question

A string $120 c m$ in length sustains a standing wave, with the points of string at which the displacement amplitude is equal to $\sqrt{2} m m$ being separated by $15.0 c m$ . The maximum displacement amplitude is

2 m m

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10 m m

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15 m m

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25 m m

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Solution

The correct option is A $2 m m$
$\frac{η λ}{2} = 120 \Rightarrow 1 s = η (\frac{λ}{4})$
at $x = \frac{λ}{4}; a m p l i t u d e A_{1} = \sqrt{2} A$
$= \sqrt{2} (\sqrt{2})$
$= 2 m m$

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A string 120cm in length sustains a standing wave, with the points of string at which the displacement amplitude is equal to √2mm being separated by 15.0cm. The maximum displacement amplitude is

The correct option is A 2mmηλ2=120 ⇒1s=η(λ4)at x=λ4; amplitude A1=√2A=√2(√2)=2 mm

A string $120 c m$ in length sustains a standing wave, with the points of string at which the displacement amplitude is equal to $\sqrt{2} m m$ being separated by $15.0 c m$ . The maximum displacement amplitude is

The correct option is A $2 m m$
$\frac{η λ}{2} = 120 \Rightarrow 1 s = η (\frac{λ}{4})$
at $x = \frac{λ}{4}; a m p l i t u d e A_{1} = \sqrt{2} A$
$= \sqrt{2} (\sqrt{2})$
$= 2 m m$