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Question
A point object is kept on front of a plane mirror. The plane mirror is performing SHM of amplitude 2cm. The plane mirror moves along the x-axis and x-axis is normal to the mirror. The amplitude of the mirror is such that the object is always in front of the mirror. The amplitude of SHM of the image is:
A point object is kept on front of a plane mirror. The plane mirror is performing SHM of amplitude 2cm. The plane mirror moves along the x-axis and x-axis is normal to the mirror. The amplitude of the mirror is such that the object is always in front of the mirror. The amplitude of SHM of the image is:
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Solution
The correct option is B 2cm
All measurements are in centimetres.Let the point object be at a distance (x, 0) such that x is greater than 2.When the mirror is at position x=-2, object distance = x - (-2) = x+2.
Image distance = x+2.When the mirror is at position x=2, object distance = x-2
Image distance = x-2Difference between image distances = |x-2 - (x+2)| = 4
Amplitude shall be half of this distance = 4/2 =2.Hence, the amplitude of the image shall also be 2cm.
All measurements are in centimetres.
Let the point object be at a distance (x, 0) such that x is greater than 2.
When the mirror is at position x=-2, object distance = x - (-2) = x+2.
Image distance = x+2.
When the mirror is at position x=2, object distance = x-2
Image distance = x-2
Difference between image distances = |x-2 - (x+2)| = 4
Amplitude shall be half of this distance = 4/2 =2.
Hence, the amplitude of the image shall also be 2cm.
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