Question 69: Waves

Question

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by $$y = (10\cos \pi x\sin {{2\pi t} \over T})$$ cm
The amplitude of the particle at $$x = {4 \over 3}$$ cm will be ___________ cm.

Accepted Answer

$$A = \left| {10\cos (\pi x)} ight|$$
At $$x = {4 \over 3}$$
$$A = \left| {10\cos \left( {\pi  	imes {4 \over 3}} ight)} ight|$$
$$ = $$ | $$-$$ 5 cm |
$$	herefore$$ Amp = 5 cm

Waves

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by $y = (10\cos \pi x\sin {{2\pi t} \over T}) cm The amplitude of the particle at x = {4 \over 3}$ cm will be ___________ cm.

Integer / Numeric Answer Type