JEE MAIN - Physics (2019 - 12th January Morning Slot - No. 7)
A travelling harmonic wave is represented by the equation y(x,t) = 10–3sin (50t + 2x), where, x and y are in mater and t is in seconds. Which of the following is a correct statement about the wave ?
The wave is propagating along the positive x-axis with speed 100 ms–1
The wave is propagating along the positive x-axis with speed 25 ms–1
The wave is propagating along the negative x-axis with speed 25 ms–1
The wave is propagating along the negative x-axis with speed 100 ms–1
Explicaţie
y = a sin($$\omega $$t + kx)
$$ \Rightarrow $$ wave is moving along $$-$$ve x-axis with speed
v = $${\omega \over K}$$ $$ \Rightarrow $$ v = $${{50} \over 2}$$ = 25m/sec
$$ \Rightarrow $$ wave is moving along $$-$$ve x-axis with speed
v = $${\omega \over K}$$ $$ \Rightarrow $$ v = $${{50} \over 2}$$ = 25m/sec