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A man is sitting inside a moving train a...

A man is sitting inside a moving train and observes the stationary objects outside of the train. Then choose the single correct choice from the following statements`-`

A

all stationary objects outside the train will move with same velocity in opposite direction of the train with respect to the man.

B

stationary objects near the train will move with greater velocity & object far from train will move with lesser velocity with respect to the man.

C

large objects like moon or mountains will move with same velocity as that of the train

D

all of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the situation where a man is sitting inside a moving train and observing stationary objects outside the train. We will use the concept of relative velocity to understand the motion of the objects from the man's perspective. ### Step-by-Step Solution: 1. **Identify the Frame of Reference**: - The man is inside a moving train. We need to consider the train as our frame of reference. 2. **Define Velocities**: - Let \( V_m \) be the velocity of the man (which is the same as the velocity of the train, \( V_t \)). - The stationary objects outside the train have a velocity of \( V_o = 0 \) (since they are stationary). 3. **Apply the Relative Velocity Concept**: - The relative velocity of the stationary objects with respect to the man is given by: \[ V_{om} = V_o - V_m \] - Substituting the values, we get: \[ V_{om} = 0 - V_t = -V_t \] - This means that from the man’s perspective, the stationary objects appear to be moving with a velocity equal to the velocity of the train but in the opposite direction. 4. **Evaluate the Statements**: - Now we can analyze the provided statements: - **Statement 1**: All stationary objects outside the train will move with the same velocity in the opposite direction of the train with respect to the man. - This statement is **correct** as derived. - **Statement 2**: Stationary objects near the train will move with greater velocity. - This statement is **incorrect**. - **Statement 3**: Large objects like the moon or mountains will move with the same velocity as that of the train. - This statement is **incorrect**. - **Statement 4**: All of these. - This statement is **incorrect**. 5. **Conclusion**: - The only correct statement is **Statement 1**. ### Final Answer: The correct choice is: **All stationary objects outside the train will move with the same velocity in the opposite direction of the train with respect to the man.**

To solve the problem, we need to analyze the situation where a man is sitting inside a moving train and observing stationary objects outside the train. We will use the concept of relative velocity to understand the motion of the objects from the man's perspective. ### Step-by-Step Solution: 1. **Identify the Frame of Reference**: - The man is inside a moving train. We need to consider the train as our frame of reference. 2. **Define Velocities**: ...
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