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Question
An object is kept at 60cm in front of a plane mirror. If the mirror is now moved 25cm away from the object, how does the image shift from its previous position?
An object is kept at 60cm in front of a plane mirror. If the mirror is now moved 25cm away from the object, how does the image shift from its previous position?
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Solution
The correct option is C 50cm away from mirror
Distance of the object from the mirror = 60cm.
Therefore, the image is formed at a distance of 60cm from the mirror.
Thus, initial distance between the object and image
= 60 + 60 = 120cm
If the mirror is moved 25cm away from the object,the new distance of the object from the mirror
= 60 + 25 = 85cm
The new image is now at a distance of 85cm from the mirror. Thus, new distance of the image from the object
= 85 + 85 = 170cm.
Taking the position of the object as reference point, the distance between the two positions of the image:
=new distance of image from the object - initial distance of the image from the object = (170 - 120)cm= 50cm
Thus, the image shifts 50cm away.
Distance of the object from the mirror = 60cm.
Therefore, the image is formed at a distance of 60cm from the mirror.
Thus, initial distance between the object and image
= 60 + 60 = 120cm
If the mirror is moved 25cm away from the object,the new distance of the object from the mirror
= 60 + 25 = 85cm
The new image is now at a distance of 85cm from the mirror. Thus, new distance of the image from the object
= 85 + 85 = 170cm.
Taking the position of the object as reference point, the distance between the two positions of the image:
=new distance of image from the object - initial distance of the image from the object = (170 - 120)cm= 50cm
Thus, the image shifts 50cm away.
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