Whether passenger on train or observer in platform measures Proper time

Question

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Answer 1

Question

Chapter 37, Problem 1DQ

(a)

To determine

Whether passenger on train or observer in platform measures Proper time

(a)

Expert Solution

Explanation of Solution

The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time.

Conclusion: The time measured from frame where the relative velocity between two events is zero is called the proper time. Proper time is measured from frame where there is no relative motion between events.

(b)

To determine

Passenger on train or observer in platform measures the proper length.

(b)

Expert Solution

Explanation of Solution

The Proper length is the length measured by observer at rest in his own frame. The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time Since the passenger in train is at rest in his own frame, he can measure proper length of train Since the sign is attached to ground ,relative velocity between observer in platform and ground is zero, he measures the proper length of sign.

Conclusion: Proper length is measured from frame where there is no relativity between events.

(c)

To determine

Whether observer on platform or passenger on train measures proper length of sign post attached to ground.

(c)

Expert Solution

Explanation of Solution

The time measured from frame where the relative velocity between two events is zero is called the proper time. The relative velocity between observer on platform and sign post is zero, time measured by observer on platform is the proper time.

Conclusion: Proper length is measured from frame where there is no relative motion between events.

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Answer 2

Question

Chapter 37, Problem 1DQ

(a)

To determine

Whether passenger on train or observer in platform measures Proper time

(a)

Expert Solution

Explanation of Solution

The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time.

Conclusion: The time measured from frame where the relative velocity between two events is zero is called the proper time. Proper time is measured from frame where there is no relative motion between events.

(b)

To determine

Passenger on train or observer in platform measures the proper length.

(b)

Expert Solution

Explanation of Solution

The Proper length is the length measured by observer at rest in his own frame. The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time Since the passenger in train is at rest in his own frame, he can measure proper length of train Since the sign is attached to ground ,relative velocity between observer in platform and ground is zero, he measures the proper length of sign.

Conclusion: Proper length is measured from frame where there is no relativity between events.

(c)

To determine

Whether observer on platform or passenger on train measures proper length of sign post attached to ground.

(c)

Expert Solution

Explanation of Solution

The time measured from frame where the relative velocity between two events is zero is called the proper time. The relative velocity between observer on platform and sign post is zero, time measured by observer on platform is the proper time.

Conclusion: Proper length is measured from frame where there is no relative motion between events.

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Answer 3

Question

Chapter 37, Problem 1DQ

(a)

To determine

Whether passenger on train or observer in platform measures Proper time

(a)

Expert Solution

Explanation of Solution

The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time.

Conclusion: The time measured from frame where the relative velocity between two events is zero is called the proper time. Proper time is measured from frame where there is no relative motion between events.

(b)

To determine

Passenger on train or observer in platform measures the proper length.

(b)

Expert Solution

Explanation of Solution

The Proper length is the length measured by observer at rest in his own frame. The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time Since the passenger in train is at rest in his own frame, he can measure proper length of train Since the sign is attached to ground ,relative velocity between observer in platform and ground is zero, he measures the proper length of sign.

Conclusion: Proper length is measured from frame where there is no relativity between events.

(c)

To determine

Whether observer on platform or passenger on train measures proper length of sign post attached to ground.

(c)

Expert Solution

Explanation of Solution

The time measured from frame where the relative velocity between two events is zero is called the proper time. The relative velocity between observer on platform and sign post is zero, time measured by observer on platform is the proper time.

Conclusion: Proper length is measured from frame where there is no relative motion between events.

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Answer 4

Question

Chapter 37, Problem 1DQ

(a)

To determine

Whether passenger on train or observer in platform measures Proper time

(a)

Expert Solution

Explanation of Solution

The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time.

Conclusion: The time measured from frame where the relative velocity between two events is zero is called the proper time. Proper time is measured from frame where there is no relative motion between events.

(b)

To determine

Passenger on train or observer in platform measures the proper length.

(b)

Expert Solution

Explanation of Solution

The Proper length is the length measured by observer at rest in his own frame. The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time Since the passenger in train is at rest in his own frame, he can measure proper length of train Since the sign is attached to ground ,relative velocity between observer in platform and ground is zero, he measures the proper length of sign.

Conclusion: Proper length is measured from frame where there is no relativity between events.

(c)

To determine

Whether observer on platform or passenger on train measures proper length of sign post attached to ground.

(c)

Expert Solution

Explanation of Solution

The time measured from frame where the relative velocity between two events is zero is called the proper time. The relative velocity between observer on platform and sign post is zero, time measured by observer on platform is the proper time.

Conclusion: Proper length is measured from frame where there is no relative motion between events.

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Answer 5

Chapter 37, Problem 1DQ

(a)

To determine

Whether passenger on train or observer in platform measures Proper time

(a)

Expert Solution

Explanation of Solution

The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time.

Conclusion: The time measured from frame where the relative velocity between two events is zero is called the proper time. Proper time is measured from frame where there is no relative motion between events.

(b)

To determine

Passenger on train or observer in platform measures the proper length.

(b)

Expert Solution

Explanation of Solution

The Proper length is the length measured by observer at rest in his own frame. The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time Since the passenger in train is at rest in his own frame, he can measure proper length of train Since the sign is attached to ground ,relative velocity between observer in platform and ground is zero, he measures the proper length of sign.

Conclusion: Proper length is measured from frame where there is no relativity between events.

(c)

To determine

Whether observer on platform or passenger on train measures proper length of sign post attached to ground.

(c)

Expert Solution

Explanation of Solution

The time measured from frame where the relative velocity between two events is zero is called the proper time. The relative velocity between observer on platform and sign post is zero, time measured by observer on platform is the proper time.

Conclusion: Proper length is measured from frame where there is no relative motion between events.

Answer 6

Chapter 37, Problem 1DQ

(a)

To determine

Whether passenger on train or observer in platform measures Proper time

(a)

Expert Solution

Explanation of Solution

The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time.

Conclusion: The time measured from frame where the relative velocity between two events is zero is called the proper time. Proper time is measured from frame where there is no relative motion between events.

Answer 7

Chapter 37, Problem 1DQ

(a)

To determine

Whether passenger on train or observer in platform measures Proper time

Answer 8

(a)

Expert Solution

Explanation of Solution

The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time.

Conclusion: The time measured from frame where the relative velocity between two events is zero is called the proper time. Proper time is measured from frame where there is no relative motion between events.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

(b)

To determine

Passenger on train or observer in platform measures the proper length.

(b)

Expert Solution

Explanation of Solution

The Proper length is the length measured by observer at rest in his own frame. The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time Since the passenger in train is at rest in his own frame, he can measure proper length of train Since the sign is attached to ground ,relative velocity between observer in platform and ground is zero, he measures the proper length of sign.

Conclusion: Proper length is measured from frame where there is no relativity between events.

Answer 13

(b)

To determine

Passenger on train or observer in platform measures the proper length.

Answer 14

(b)

Expert Solution

Explanation of Solution

The Proper length is the length measured by observer at rest in his own frame. The relative velocity between passenger and train is zero, time measured by passenger in train is the proper time Since the passenger in train is at rest in his own frame, he can measure proper length of train Since the sign is attached to ground ,relative velocity between observer in platform and ground is zero, he measures the proper length of sign.

Conclusion: Proper length is measured from frame where there is no relativity between events.

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

(c)

To determine

Whether observer on platform or passenger on train measures proper length of sign post attached to ground.

(c)

Expert Solution

Explanation of Solution

The time measured from frame where the relative velocity between two events is zero is called the proper time. The relative velocity between observer on platform and sign post is zero, time measured by observer on platform is the proper time.

Conclusion: Proper length is measured from frame where there is no relative motion between events.

Answer 19

(c)

To determine

Whether observer on platform or passenger on train measures proper length of sign post attached to ground.

Answer 20

(c)

Expert Solution

Explanation of Solution

The time measured from frame where the relative velocity between two events is zero is called the proper time. The relative velocity between observer on platform and sign post is zero, time measured by observer on platform is the proper time.

Conclusion: Proper length is measured from frame where there is no relative motion between events.