In a one-dimensional collision between two particles- their relative velocity is v-1- before the collision and v-2- and the collision-

The correct options are B |v̅_̅2̅| = |v̅_̅1̅| in all cases. C v̅_̅1̅ = k v̅_̅2̅ in all cases, where k ≥ 1. D v̅_̅1̅ = v̅_̅2̅ if the ...

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Byju's Answer

Standard XII

Physics

The 'e' Equation

In a one-dime...

Question

In a one-dimensional collision between two particles, their relative velocity is $_{1}$ before the collision and $_{2}$ and the collision.

_{1} =_{2}

if the collision is elastic.

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_{1} = -_{2}

if the collision is elastic.

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|_{2} | = |_{1} |

in all cases.

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_{1} = - k_{2}

in all cases, where k

\geq

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Solution

The correct options are
B $|_{2} | = |_{1} |$ in all cases.
C $_{1} = - k_{2}$ in all cases, where k $\geq$ 1.
D $_{1} = -_{2}$ if the collision is elastic.
If $v_{1}$ is relative velocity before collision.
if $v_{2}$ is relative velocity before collision.
$e \leq 1$
$e = \frac{v_{1}}{{- v}_{2}}$

so $| v_{1} | \geq | v_{2} |$
also due to impact the ratios of velocity get changed,relative velocities D is correct. also, for elastic collision e $=$ 1.
So, option B is correct only if both particles have equal masses,not in general.

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In a one-dimensional collision between two particles, their relative velocity is ¯v1 before the collision and ¯v2 and the collision.

In a one-dimensional collision between two particles, their relative velocity is $_{1}$ before the collision and $_{2}$ and the collision.