The equation of a standing wave produced on a -160-string fixed at both ends is - y-0-4sin-0-314x-cos-600- t- -160- -160-where -160- x- -160-and -160- y- -160-are -160-in - cm- and - t- in - seconds- -160-The smallest possible -160-length of the string is- 10 cm- 30 cm- 20 cm- 40 cm-

The correct option is A 10 cm y=0.4 sin(0.314 x)cos(600 π t) k=0.314 #160; #160; #160; #160; ω =600 π =2π f =2πλ #160; ...

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String Fixed at Both Ends

The equation ...

Question

The equation of a standing wave produced on a string fixed at both ends is
$y = 0.4 sin [0.314 x] cos [600 π t]$ where $x$ and $y$ are in $c m$ and $t$ in $s e c o n d s .$ The smallest possible length of the string is

10 c m

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20 c m

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30 c m

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40 c m

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Solution

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Similar questions

y = 0.4 sin (0.314 x) cos (600 π t)

x

cm

t

y = (0 \cdot 4 cm) \sin [(0 \cdot 314 {cm}^{- 1}) x] \cos [(600 π s^{- 1}) t]

sin (0.025 π x) cos 500 t

The equation of a standing wave, produced on a string fixed at both ends, is

$y = (0.4 c m) s i n [(0.314 c m^{- 1})] c o s [(600 π s^{- 1})]$ .

What could be the smallest length of the string ?

y (x, t) = 0.5 sin (0.025 π x) cos 500 t

x

y

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