A large concave mirror has a radius of curvature of 1.5m. A person stands 10m in front of the mirror. Where is the person’s image?
Download our app for free and get startedPlay store
R = -1.5cm (concave mirror) u = -10cm$\text{f}=\frac{\text{R}}{2}=\frac{1.5}{2}=0.75\text{cm}$
$\frac{1}{\text{v}}+\frac{1}{\text{u}}=\frac{1}{\text{f}}$
$\Rightarrow \frac{1}{\text{v}}+\frac{1}{\text{(-10)}}=\frac{1}{(-0.75)}$
$\Rightarrow \frac{1}{\text{v}}=\frac{1}{10}-\frac{1}{0.75}=\frac{1}{10}-\frac{100}{75}$
$\frac{1}{10}-\frac{4}{3}=\frac{3-40}{30}=-\frac{37}{30}$
$\therefore\text{v}=-\frac{30}{37}=-0.81\text{cm}$
The person's image will be 0.81m in frond of concave mirror.
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    Draw a ray diagram to show the path of the reflected ray corresponding to an incident ray which is directed towards the principal focus of a convex. mirror. Mark on it the angle of incidence and the angle of reflection.
    View Solution
  • 2
    Draw ray diagrams showing the image formation by a convex lens when an object is placed:
    Between optical centre and focus of the lens.
    View Solution
  • 3
    Which type of mirror is used in a solar furnace? Support your answer with reason.
    View Solution
  • 4
    An object is placed at a distance of 6cm from a convex mirror of focal length 12cm. Find the position and nature of the image.
    View Solution
  • 5
    Show the lateral displacement of the ray on the diagram.
    View Solution
  • 6
    Draw a ray diagram to show the formation of a real diminished image of an object by a convex lens. In your diagram, the position of object and image with respect to the principal focus should be shown clearly.
    View Solution
  • 7
    What is the magnification produced by a rear view mirror fitted in vehicles?
    View Solution
  • 8
    Explain with a suitable diagram, how a concave mirror converges a parallel beam of light rays. Mark clearly the pole, focus and centre of curvature of concave mirror in this diagram.
    View Solution
  • 9
    Draw ray diagrams showing the image formation by a concave lens when an object is placed:
    At the focus of the lens.
    View Solution
  • 10
    Draw ray diagrams showing the image formation by a concave lens when an object is placed:Between focus and twice the focal length of the lens.
    View Solution