Question

An object is performing uniform circular motion in a horizontal $xy$ - plane in front of a plane mirror kept perpendicular to $xy$ - plane and reflecting surface facing the object. If the object is revolving in an anti-clockwise direction with speed $v$, then identify the correct statement regarding the motion of the image with respect to ground.

• A. The image is moving on a straight line with speed $\frac{v}{\sqrt{2}}$
• B. The image is revolving in clockwise direction with speed $2v$ on circular path
• C. The image is revolving in anti-clockwise direction with speed $2v$ on circular path
• D. The image is revolving in clockwise direction with speed $v$ on circular path

Answer 1

The correct option is D The image is revolving in clockwise direction with speed $v$ on circular path

We know that for fixed plane mirror,
$\left(1\right)$ Along perpendicular to the mirror ($x$ - axis), $v_o=-v_i$
$\left(2\right)$ Along parallel to the mirror ($y$ - axis), $v_o=v_i$

The velocity of the image at points $A^{\prime },B^{\prime },C^{\prime }$ and $D^{\prime }$ depicts that image is revolving with speed $v$ in clockwise direction on a circular path.