Rahul is standing in front of a plane mirror. The distance between Rah...
Image formed behind the mirror is far as much as the object is.. therefore 2*x= 150cm x=150/2 x=75cm ans.
Rahul is standing in front of a plane mirror. The distance between Rah...
Understanding the Reflection in a Plane Mirror
When an object (like Rahul) stands in front of a plane mirror, the image formed by the mirror is always the same distance behind the mirror as the object is in front of it.
Key Concepts:
- Distance to Mirror: Let Rahul's distance from the mirror be 'x' cm.
- Image Distance: The image will also be 'x' cm behind the mirror.
- Total Distance: Therefore, the total distance between Rahul and his image is given by the formula:
Total Distance = Distance to Mirror + Distance behind Mirror = x + x = 2x
Given Information:
- The total distance between Rahul and his image is 150 cm. Thus, we have the equation:
2x = 150 cm
Solving for 'x':
- To find 'x', we rearrange the equation:
x = 150 cm / 2
x = 75 cm
Evaluating the Options:
- a) x = 50 cm: Not correct
- b) x = 100 cm: Not correct
- c) x = 25 cm: Not correct
- d) x = 75 cm: Correct!
Conclusion:
Rahul's distance from the mirror can only be 75 cm, which matches option 'D'. This conclusion is based on the fundamental properties of reflection in a plane mirror, where the distance from the object to the mirror is equal to the distance from the mirror to the image.
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