B M Sharma Solutions for Chapter: Superposition and Standing Waves, Exercise 1: ILLUSTRATIONS

Two sinusoidal waves combining in a medium are described by the wave functions 

$y_1=(3.0 \mathrm{cm})\mathrm{sin\pi }(\mathrm{x}+0.60\mathrm{t})$
$y_2=(3.0 \mathrm{cm})\mathrm{sin\pi }(\mathrm{x}-0.60\mathrm{t})$

where $x$ is in centimetres and $t$ is in seconds. Determine the maximum transverse position of an element of the medium at

$x=0.250 \mathrm{cm}$

Two sinusoidal waves combining in a medium are described by the wave functions 

$y_1=(3.0 \mathrm{cm})\mathrm{sin\pi }(\mathrm{x}+0.60\mathrm{t})$
$y_2=(3.0 \mathrm{cm})\mathrm{sin\pi }(\mathrm{x}-0.60\mathrm{t})$

where $x$ is in centimetres and $t$ is in seconds. Determine the maximum transverse position of an element of the medium at

$x=0.500 \mathrm{cm}$

Two sinusoidal waves combining in a medium are described by the wave functions 

$y_1=(3.0 cm)\sin \pi (x+0.60t)$
$y_2=(3.0 cm)\sin \pi (x-0.60t)$

where $x$ is in centimetres and $t$ is in seconds. Determine the maximum transverse position of an element of the medium at

$x=1.50 cm$.

Two sinusoidal waves combining in a medium are described by the wave functions 

$y_1=(3.0 \mathrm{cm})\mathrm{sin\pi }(\mathrm{x}+0.60\mathrm{t})$
$y_2=(3.0 \mathrm{cm})\mathrm{sin\pi }(\mathrm{x}-0.60\mathrm{t})$

where $x$ is in centimetres and $t$ is in seconds. Determine the maximum transverse position of an element of the medium at

Find the three smallest values of $x$ corresponding to antinodes.