Assertion: The specific charge of positive ra | vedclass

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Question

(A) The specific charge $\frac{e}{m}$ of positive rays is defined as the ratio of charge to mass. According to the theory of relativity,the mass $m$ o

Vedclass · Accepted Answer

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Vedclass · Answer

(A) The specific charge $\frac{e}{m}$ of positive rays is defined as the ratio of charge to mass. According to the theory of relativity,the mass $m$ of a particle moving with a velocity $v$ is given by $m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}}$,where $m_0$ is the rest mass and $c$ is the speed of light.Since the mass $m$ depends on the speed $v$,the specific charge $\frac{e}{m}$ also changes with speed.Therefore,the specific charge of positive rays is not constant because the mass of ions varies with speed.Thus,both the Assertion and the Reason are correct,and the Reason is the correct explanation of the Assertion.

List $I$	List $II$
$A$. Planck's constant $(h)$	$I$. $[M^1 L^2 T^{-2}]$
$B$. Stopping potential $(V_s)$	$II$. $[M^1 L^1 T^{-1}]$
$C$. Work function $(\phi)$	$III$. $[M^1 L^2 T^{-1}]$
$D$. Momentum $(p)$	$IV$. $[M^1 L^2 T^{-3} A^{-1}]$

Assertion: The specific charge of positive rays is not constant.
Reason: The mass of ions varies with speed.

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Match List $I$ with List $II$:

List $I$ List $II$

$A$. Planck's constant $(h)$ $I$. $[M^1 L^2 T^{-2}]$

$B$. Stopping potential $(V_s)$ $II$. $[M^1 L^1 T^{-1}]$

$C$. Work function $(\phi)$ $III$. $[M^1 L^2 T^{-1}]$

$D$. Momentum $(p)$ $IV$. $[M^1 L^2 T^{-3} A^{-1}]$

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Assertion: The specific charge of positive rays is not constant.Reason: The mass of ions varies with speed.