Question

focal lengths of two spherical mirrors are equal. one forms the virtual magnified image at a distance of 10cm when an object is at a distance of 5cm and the other forms the diminished virtual image, when the object is kept at same distance. The image distance for the second case will be....​

Answer 1

Answer:

12th

Physics

Ray Optics and Optical Instruments

Image Formation by Spherical Mirror

An object is placed at a di...

PHYSICS

An object is placed at a distance of 10 cm from a convex mirror of focal length 5 cm.

(i) Draw a ray-diagram showing the formation of image.

(ii) State two characteristics of the image formed.

(iii) Calculate the distance of the image from mirror.

1033392

HARD

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ANSWER

Object Distance(u) = 10 cm. (negative)

Focal length of the lens (f) = 5 cm.

We know, convex mirror always forms the virtual, upright and diminished.Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.

Now, Applying the Mirror's Formula,

f

1

=

v

1

+

u

1

=

5

1

=

v

1

+

1

=

5

1

=

10v

(10−v)

10v=50−5v

15v=50

v=

3

10

so the image distance (v) =3.33cm.