MCQ
A particle is moving with velocity $\left( {\hat i + 2\hat j + 3\hat k} \right)\,m/s$. A plane mirror exists in the $x-y$ plane. The mirror has a velocity $\left( {\hat i + 2\hat j} \right)\,m/s.$ Velocity of the image (in $m/s$) is 
  • A
    $\hat j + \hat k$
  • $\hat i + 2\hat j - 3\hat k$
  • C
    $ - \hat j - \hat k$
  • D
    none of these

Answer

Correct option: B.
$\hat i + 2\hat j - 3\hat k$
b
$\overrightarrow{\mathrm{v}}_{\mathrm{p}}=\overrightarrow{\mathrm{v}}_{\mathrm{f}}+\overrightarrow{\mathrm{v}}_{\mathrm{n}}$

$\overrightarrow{\mathrm{v}}_{\mathrm{I}}=\overrightarrow{\mathrm{v}}_{\mathrm{i}}-\overrightarrow{\mathrm{v}}_{\mathrm{n}}$

$\overrightarrow{\mathrm{v}}_{\mathrm{f}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}$

$\overrightarrow{\mathrm{v}}_{\mathrm{n}}=3 \hat{\mathrm{k}}$

$\overrightarrow{\mathrm{v}}_{\mathrm{I}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}$

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