A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle \theta, the spot of the light is found to move through a distance y on the scale. The angle \theta is given by :

  • Option 1)

    \frac{y}

  • Option 2)

    \frac{y} {x}

  • Option 3)

    \frac{x}

  • Option 4)

    \frac{x} {y}

 

Answers (1)

When mirror is rotated by an angle \Theta then reflected ray will be rotated by an angle 2\Theta

\therefore 2\Theta = \frac{y}{x}

\therefore \Theta = \frac{y}{2x}


Option 1)

\frac{y}

This option is correct.

Option 2)

\frac{y} {x}

This option is incorrect.

Option 3)

\frac{x}

This option is incorrect.

Option 4)

\frac{x} {y}

This option is incorrect.

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