Assertion : Two waves moving in a uniform str | vedclass

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(D) The speed of a wave in a string is given by $v = \sqrt{T/\mu}$,where $T$ is the tension and $\mu$ is the linear mass density. Since both $T$ and $

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If both the Assertion and Reason are incorrect.

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(D) The speed of a wave in a string is given by $v = \sqrt{T/\mu}$,where $T$ is the tension and $\mu$ is the linear mass density. Since both $T$ and $\mu$ are uniform for the string,the speed $v$ is constant for all waves traveling in it.However,velocity is a vector quantity that includes both speed and direction. Two waves can travel in the same string with the same speed $v$ but in opposite directions (e.g.,one moving in the $+x$ direction and the other in the $-x$ direction).Thus,the velocities of these two waves would be $+v$ and $-v$,which are different. Therefore,the Assertion that they cannot have different velocities is incorrect.The Reason correctly states that the speed depends only on the elastic and inertial properties of the string,which are uniform,but the Assertion itself is false.

$Assertion :$ Two waves moving in a uniform string having uniform tension cannot have different velocities.
$Reason :$ Elastic and inertial properties of string are same for all waves in same string. Moreover,the speed of a wave in a string depends on its elastic and inertial properties only.

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$Assertion :$ Two waves moving in a uniform string having uniform tension cannot have different velocities.$Reason :$ Elastic and inertial properties of string are same for all waves in same string. Moreover,the speed of a wave in a string depends on its elastic and inertial properties only.