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a. Figure (a) shows the optical axis o...

a. Figure (a) shows the optical axis of a lens, the point source of light A, and its virtual image `A^(')` . Trace the rays to find the position of the lens and of its focuses. What type of lens is it?

b. Solve the problem similar to the previous one using Figure.

Text Solution

Verified by Experts

The correct Answer is:
C
First draw a ray AA' until it intersects with the
principal optical axis and find the centre of the lens
C. Since, the virtual image is magnified, the lens is
convex.

Draw a ray AB parallel to the principal optical axis.
It is refracted by the lens so that it passes through its
focus and its continuation passes through the virtual
image. The ray A'B intersects the principal optical
axis at point F, the focus of the lens.
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Knowledge Check

  • A lens is placed between a source of light and a wall. It forms images of are A_(1) and A_(2) on the wall, for its two different positions, the area of the source of light is

    A
    `sqrt(A_(1)A_(2))`
    B
    `(A_(1)+A_(2))/2`
    C
    `(A_(1)-A_(2))/2`
    D
    `(1)/A_(1)+(1)/A_(2)`

  • A point source of light is moving at a rate of 2 cm-s^(-1) towards a thin convex lens of focal length 10 cm along its optical axis. When the source is 15 cm away from the lens the image is moving at -

    A
    `4 cm-s^(-1)` towards the lens
    B
    `8 cm-s^(-1)` towards the lens
    C
    `4 cm-s^(-1)` away from the lens
    D
    `8 cm-s^(-1)` away from the lens
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