Equation of a progressive wave is given by $y = a sin π [\frac{t}{2} - \frac{x}{4}]$ , where t is in seconds and x is in meters. The distance through which the wave moves in 8 sec is ( in meter)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 16
$v = \frac{C o - e f f i c i e n t o f t}{C o - e f f i c i e n t o f x} = \frac{1 / 2}{1} / 4 = 2$ m/s
Hence $d = v t = 2 \times 8 = 16$ m

Suggest Corrections

Similar questions

y = a sin π (\frac{t}{2} - \frac{x}{4})

y = 3 s i n π (\frac{t}{2} - \frac{x}{4})

t

x

5 s

t

x

y = A c o s 240 (t - x / 12)

0.5 m

y = 4 s i n (4 π t - 0.04 x + \frac{π}{3})

y = 2 sin π (\begin{matrix} \frac{t}{2} - \frac{x}{4} \end{matrix})

Join BYJU'S Learning Program