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  • A transverse wave <img alt="\mathrm{y=0.05 \sin (20 \pi x-50 \pi t)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7By%3D0.05%20%5Csin%20%2820%20%5Cpi%20x-50%20%5Cpi%20t%29%7

A transverse wave \mathrm{y=0.05 \sin (20 \pi x-50 \pi t)} in metre, is propagating along +ve x-axis on a string. A light insect starts crawling on the string with the velocity of 5 cm/s at t = 0 along the +ve axis from a point, where x = 5 cm. After 5 sec, the difference in the phase of its position is equal to-

 

Option: 1

\mathrm{150\pi}


Option: 2

\mathrm{250 \pi}


Option: 3

\mathrm{10\pi}


Option: 4

\mathrm{5\pi}


Answers (1)

best_answer

\mathrm{\Delta \phi=\frac{2 \pi}{\lambda} \cdot \Delta x=k \cdot(\Delta x)=k(v t)}

Where, Vt= distance travelled by insect in given time interval

Or \mathrm{\Delta \phi=(20 \pi)\left(5 \times 10^{-2} \times 5\right)=5 \pi}

Posted by

manish painkra

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