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:
1. \(\frac{y}{x}\)
2. \(\frac{x}{2y}\)
3. \(\frac{x}{y}\)
4. \(\frac{y}{2x}\)
A tall man, of height \(6\) feet, wants to see his full image. The required minimum length of the mirror will be:
1. | \(12\) feet | 2. | \(3\) feet |
3. | \(6\) feet | 4. | Any length |