$A$ long horizontal mirror is next to a vertical screen (see figure). Parallel light rays are falling on the mirror at an angle $\alpha$ from the vertical. If a vertical object of height $h$ is kept on the mirror at a distance $d$ from the screen,where $d > h \tan \alpha$,the length of the shadow of the object on the screen would be

  • A
    $\frac{h}{2}$
  • B
    $h \tan \alpha$
  • C
    $2 \,h$
  • D
    $4 \,h$

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Similar Questions

Two plane mirrors are placed at an angle of $60^\circ$. $A$ horizontal light ray is reflected by the first mirror and then by the second mirror. The total deviation will be ........... $^\circ$.

$A$ light ray makes an angle of $10^o$ with the horizontal. It strikes a plane mirror inclined at an angle $\theta$ to the horizontal,and the reflected ray becomes vertical. What is the value of the angle $\theta$ in degrees?

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With reference to the figure shown below, match the following:
$(a)$ Angle of reflection$(i)$ $60^\circ$
$(b)$ Value of $\alpha$(ii) $120^\circ$
$(c)$ Angle of deviation(iii) $30^\circ$

$A$ monochromatic beam of light enters a square enclosure with mirrored interior surfaces at an angle of incidence $\theta_i(\neq 0)$ (see figure). For some value$(s)$ of $\theta_i$,the beam is reflected by every mirrored wall (other than the one with the opening) exactly once and exits the enclosure through the same hole. Which of the following statements about this beam is correct?

Find the angle of deviation for the given diagram.

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