You visited us 1 times! Enjoying our articles? Unlock Full Access!

Reflection

A two spheric...

Question

A two spherical mirrors are placed beside each other such that the pole of the first mirror falls on the centre of curvature of the second. A burning candle of height $15 cm$ is placed in between the mirrors. If the image formed by the first mirror burns at the same rate as that of the candle and if the focal length of the second mirror is thrice that of the first mirror, comment on the apparent rate of burning for the image formed by the second mirror.

It will be faster than that of the candle.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

It will be slower than that of the candle.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

It will be the same as that of the image formed by the first mirror.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

It will be slower than that of the image formed by the first mirror.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A It will be faster than that of the candle.

Given,
the rate of burning of the image formed by the first mirror is same as that of the candle. This is possible only in one case, which is the case of concave mirror and the object is placed at C.
So, the first image is formed at C $_{1}$ .
The nature of the image is inverted, real, and unmagnified.
For the second mirror, the object is between C $_{2}$ and F $_{2}$ . The image will be formed beyond C $_{2}$ and it is inverted and enlarged. Since the image is enlarged, the rate of burning for that image will appear to be faster than that of the original candle as well as the image formed by the first mirror.

Suggest Corrections

Similar questions

Q. Two concave mirrors are kept on the either side of a candle such that, the focus of one mirror coincides with the center of curvature of the other mirror as shown in figure.

Explain:
(i) Nature of the image of the candle formed by both the mirrors.
(ii) Nature of the image after one reflection in each mirror.

Q. A candle is placed in front of a concave spherical mirror on its principal axis at a distance of

(\frac{4}{3})

f

from the pole of the mirror (here

f

is the focal length of the mirror). The candle is arranged at right angles to the axis. The image of the candle in the concave mirror impinges upon a convex mirror of focal length

2 f

. The distance between the mirrors is

3 f

and their axis coincide. The image of the candle in the first mirror plays the part of a virtual object with respect to the second mirror and gives a real image arranged between the two mirrors. Then the total linear magnification of the system is (only magnitude)

Q. Two concave mirrors are placed

40 cm

apart and are facing each other. A point object lies between them at a distance of

12 cm

from the mirror of focal length

10 cm

. The other mirror has focal length

15 cm

. Find the location of final image formed after two reflections, first at the mirror nearer to the object and

2^{n d}

at the other mirror.

Q. A concave and a convex mirror of focal lengths

10 cm

each are placed at a distance

d cm

apart. An object

AB

is placed in between the mirrors at a distance of

10 cm

from the convex mirror. If first ray is incident on the convex mirror and then on the concave mirror then find the distance

d

between both the mirrors, so that final image will be formed at the object's position.

Himanshu was challenged by his friend Sushweta to differentiate between a plane, concave and convex mirror without touching them. He placed a candle in front of each of the mirrors and observed that they showed different behavior. Mirror I always formed a diminished image, Mirror II always formed an image of same height while for Mirror III the image was enlarged when the candle was placed close to mirror. Can you help him identify them?

Join BYJU'S Learning Program