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A plane mirror is moving with velocity v, a point object in front of the mirror moves with a velocity v0​. Here v is along the normal to the plane mirror and facing towards the object. The velocity of the image is:

a. v0​
b. −v0​
c. v+v0​
d. v−v0​

1 Answer

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Final answer:

The velocity of the image in the scenario described would be the sum of the object's velocity and twice the mirror's velocity, resulting in 2v + v0, but this option was not given in the question, indicating a possible typo or lack of context.

Step-by-step explanation:

The student asked about the velocity of the image created by a point object when both the object and a plane mirror are moving with given velocities. According to the law of reflection, when an object is placed in front of a plane mirror, the image formed is virtual, upright, and of the same size as the object, and it appears to be located behind the mirror at the same distance as the object is in front of it. The velocity of the image can be deduced by considering the relative velocities of the object and the mirror.

If the mirror is moving with velocity v towards the object and the object is moving with velocity v0 towards the mirror, the velocity of the image with respect to the mirror will be the mirror's velocity doubled, 2v, but in the opposite direction since the image velocity mirrors the object's movement about the plane mirror's surface. Therefore, the relative velocity of the image with respect to the stationary observer will be the sum of the object's velocity and twice the mirror's velocity.

The final velocity of the image would thus be 2v + v0, considering the directions of the velocities properly. However, since this specific case was not among the options provided, mentioning the correct option from the given choices is not possible without additional context or a typo correction. For the purposes of answering this assignment, we assume a typo in the options and the correct answer would technically be none of the given choices: none of the above.

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