Assertion : For the formation of stationary w | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For the formation of stationary waves,it is necessary that the medium should be bounded. When a wave propagates in a bounded medium,it reflects at

Vedclass · Accepted Answer

If both $Assertion$ and $Reason$ are correct but $Reason$ is not a correct explanation of the $Assertion$.

Vedclass · Answer

(B) For the formation of stationary waves,it is necessary that the medium should be bounded. When a wave propagates in a bounded medium,it reflects at the boundary,producing a wave of the same frequency and amplitude travelling in the opposite direction. The superposition of these two waves results in a stationary wave. Thus,the $Assertion$ is correct.In stationary waves,there are specific points in the medium where the displacement is always zero. These points are called nodes,and the particles at these positions remain permanently at rest. Thus,the $Reason$ is also correct.However,the fact that some particles remain at rest (nodes) is a property of stationary waves,not the cause of why the medium must be bounded. Therefore,the $Reason$ is not the correct explanation of the $Assertion$.

$Assertion :$ For the formation of stationary waves,the medium must be bounded having definite boundaries.
$Reason :$ In the stationary wave,some particles of the medium remain permanently at rest.

Similar Questions

$A$ string fixed at both the ends forms a standing wave with a node separation of $5 \,cm$. If the velocity of the wave on the string is $2 \,m/s$, then the frequency of vibration of the string is (in $\,Hz$)

$A$ string fixed at both its ends vibrates in $5$ loops as shown in the figure. The total number of nodes and antinodes are respectively:

$A$ wave disturbance in a medium is described by $y(x, t) = 0.02 \cos(50 \pi t + \frac{\pi}{2}) \cos(10 \pi x)$,where $x$ and $y$ are in metres and $t$ is in seconds.

What are nodes and antinodes?

The vibration of a string fixed at both ends is described by $Y = 2 \sin(\pi x) \sin(100\pi t)$,where $Y$ is in $mm$,$x$ is in $cm$,and $t$ is in $sec$. Then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion :$ For the formation of stationary waves,the medium must be bounded having definite boundaries.$Reason :$ In the stationary wave,some particles of the medium remain permanently at rest.