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An object is moving towards a stationary...

An object is moving towards a stationary plane mirror with a speed of 2 m/s. Velocity of the image w.r.t. the object is

A

2 m/s towards right

B

4 m/s towards right

C

2 m/s towards left

D

4 m/s towards left

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the velocity of the image with respect to the object when the object is moving towards a stationary plane mirror, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Data:** - Speed of the object (v_o) = 2 m/s (towards the mirror). - The mirror is stationary. 2. **Determine the Velocity of the Image:** - In the case of a plane mirror, the image moves with the same speed as the object but in the opposite direction. Therefore, if the object is moving towards the mirror, the image will appear to move away from the mirror at the same speed. - Thus, the velocity of the image (v_i) = -2 m/s (away from the mirror). 3. **Calculate the Velocity of the Image with Respect to the Object:** - The relative velocity of the image with respect to the object is given by the formula: \[ v_{i/o} = v_i - v_o \] - Substituting the values we have: \[ v_{i/o} = (-2 \, \text{m/s}) - (2 \, \text{m/s}) = -4 \, \text{m/s} \] 4. **Interpret the Result:** - The negative sign indicates that the velocity of the image is directed towards the left (or towards the mirror) when considering the object’s perspective. 5. **Final Answer:** - The velocity of the image with respect to the object is 4 m/s towards the left. ### Summary: The velocity of the image with respect to the object is 4 m/s towards the left.

To solve the problem of finding the velocity of the image with respect to the object when the object is moving towards a stationary plane mirror, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Data:** - Speed of the object (v_o) = 2 m/s (towards the mirror). - The mirror is stationary. ...
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Knowledge Check

  • An observer moves towards a plane mirror with a speed of 2 m/s . The speed of the image with respect to the observer is

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    B
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