Question

The distance between the object and its image on plane mirror is 12m. The new distance between the same object and its image on plane mirror is 8m. Calculate the distance by how much the object has been moved and in which direction.​

Answer 1

Answer:

Correct option is

B

12 cm

Answer is B.

Explanation:

Answer 2

Object has moved 2 m  and towards plane mirror if distance between the object and its image on plane mirror is changed from 12 m to 8 m.

Given : The distance between the object and its image on plane mirror is 12m.

The new distance between the same object and its image on plane mirror is 8m.

To Find :  the distance by how much the object has been moved and in which direction.​

Solution:

Assume that plane mirror is at origin

and Object is on +ve  x axis then Image will be at - ve x axis

Let say Originally object at    a ,

then image is at  - a

Distance = a -(-a) = 2a

=> 2a = 12 m

=> a = 6 m

Hence object is 6 m from  plane mirror

Now object shifted to b

then image is at  - b

Distance =b -(-b) = 2b

=> 2b =  8 m

=> b = 4 m

Hence object is 4 m from  plane mirror

Originally object was 6 m from plane mirror

and shifter to 4 m from  plane mirror

hence Object has shifted 2 m  toward plane mirror

Object has moved 2 m  and towards plane mirror

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