Two sinusoidal waves combining in a medium are described by the equations y_1 = (3.0…

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

Two sinusoidal waves combining in a medium are described by the equations

y_1 = (3.0 \text{ cm}) \sin \pi (x + 0.60 t)

and

y_2 = (3.0 \text{ cm}) \sin \pi (x - 0.60 t)

where,

x

is in centimetres and

t

is in seconds. Determine the maximum displacement of the medium at (a)

x = 0.250 \text{ cm}

, (b)

x = 0.500 \text{ cm}

and (c)

x = 1.50 \text{ cm}

. (d) Find the three smallest values of

x

corresponding to antinodes.