In a medium in which a transverse progressive wave is travelling the phase difference between two points with a distance of separation $1.25 c m$ is $\frac{π}{4}$ . If the frequency of the wave is $1000 H z$ , its velocity will be

10^{4} m / s

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125 m / s

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100 m / s

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10 m / s

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Solution

The correct option is B $100 m / s$
$f = 1000 s e c$
$T = \frac{1}{f}$
$= 10^{- 3} s e c$
$∴$ for $2 π$ time take is $T$
$∴$ for $\frac{π}{4}$ time take is $\frac{T}{8}$
$∴ V = \frac{s}{T}$
$= \frac{1.25 \times 8}{T}$
$= 100 m sec$

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In a medium in which a transverse progressive wave is travelling the phase difference between two points with a distance of separation 1.25cm is π4 . If the frequency of the wave is 1000Hz, its velocity will be

The correct option is B 100m/sf=1000secT=1f=10−3sec∴ for 2π time take is T∴ for π4 time take is T8∴V=sT=1.25×8T=100msec

In a medium in which a transverse progressive wave is travelling the phase difference between two points with a distance of separation $1.25 c m$ is $\frac{π}{4}$ . If the frequency of the wave is $1000 H z$ , its velocity will be

The correct option is B $100 m / s$
$f = 1000 s e c$
$T = \frac{1}{f}$
$= 10^{- 3} s e c$
$∴$ for $2 π$ time take is $T$
$∴$ for $\frac{π}{4}$ time take is $\frac{T}{8}$
$∴ V = \frac{s}{T}$
$= \frac{1.25 \times 8}{T}$
$= 100 m sec$