An object is at a distance 25cm in front of a plane mirror. The mirror is
shifted 5cm away from the object. Find: (i) the new distance between the
object and the image (ii) the distance between the two positions of the
image.
Answers
ii) The distance between the two positions of the image is 5cm.
Required answer: -
Question :
An object is at a distance 25 cm in front of a plane mirror. The mirror is shifted 5 cm away from the object. Find : (i) the new distance between the object and its image, and
(ii) the distance between the two positions of the image.
Solution :
Step by step explaination:
In the given figure the both images B and B' the object A, by the mirror in its initial and new positions.
Now, Initially the distance of the object A in front of plane mirror M is AM = 25 cm, therefore the image B is at a distance MB = 25 cm from the mirror M behind it.
So, now distance between object A and its
image B = 25 cm + 25 cm = 50 cm.
On shifting the mirror by 5 cm away from the object, the new distance of object A from the mirror M'B' = 30 cm behind the mirror M' .
Hence,
Answer:
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(i) The new distance between the object A and image B' = 30 cm + 30 cm
= 60 cm
(ii) After taking the position of the object A as reference point, the distance between the two positions of the image, BB' = new distance of image from the object, AB' - initial distance of image from the object,
AB = 60 - 50 = 10 cm
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Note :
Refer the attachment for better understanding