How Does Jane Receive 30 Messages from Dick in the Twin Paradox Scenario?

Click For Summary

Homework Help Overview

The discussion revolves around the twin paradox scenario in special relativity, specifically focusing on the communication between Jane, who remains on Earth, and Dick, who travels to a distant planet. The problem involves understanding the timing and frequency of messages sent by Dick during his journey, considering the effects of time dilation and length contraction.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to clarify the number of messages Jane receives from Dick, questioning the calculations related to time dilation and the Doppler effect. Some participants raise points about the timing of messages and how they are perceived by both Jane and Dick.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the message timing and frequency. Some hints have been provided regarding the calculations, but there is no explicit consensus on the correct approach or outcome.

Contextual Notes

Participants are grappling with the implications of special relativity, including how the speed of light affects message transmission and the differing perceptions of time between Jane and Dick. There is mention of a specific book reference that presents a different calculation approach, which adds to the confusion.

bilkul_king
Messages
6
Reaction score
0
please help its urgent

hi

can someone please solve this paradox related to the twin paradox??
jane continues to be on Earth and dick goes to a planet 20 light years away at a speed of 0.8 c. Every year dick sends a message to Jane. Now for Jane due to time dilation the time taken by dick to reach the planet is 25 years and back to Earth another 25 years. Also the frequency the Jane receive the messages while dick is receding away should be equal to one message per three years and while he is coming back it should be equal to three messages per year. Now to due to length contraction dick feels that he is twelve light year away from the planet. Hence he should take 15 years to reach the planet and 15 years back to earth. That means he has sent out a total of 30 messages. Please explain tome how Jane receives these 30 messages.


Please note that all the units and formula e were in accordance with Einstein's special theory of relativity and the formula e and the results were according to the same. Please help me as this question is perplexing my mind since the last 51 hours.

Thanking you,



(LAKSHAY BEHL)
 
Physics news on Phys.org
Hint: Dick sends his 15th message at the turnaround point (at the distant planet). Assuming the message travels at the speed of light, when does it reach Jane (according to her)?
 
I DIDN'T GET THAT.see
1) according to dick, while he receding for the 15 years he gets five messages in total in 15 yrs @ 1 msg per 3 yr
and while coming back he is receiving 3 messages per year and for 15 yrs, he will receive 45 messages
that mean a total of 50 messages which is same as the number of messages sent out by jane in 50 yrs wrt earth.2)
now if i perform the same calculations on jane, she should get 25*(1/3) messages from dick while he is receding and 25*3 messages while he is coming back.
but that does not amount to a total of 30 messages sent out by dean.PLZ PLZ PLZ PERFORM THESE CALCULATIONS FOR ME HERE.

AND IN A BOOK WHERE I FOUND THE QUESTION IS FOUND IT PUT AS:--

receding 25*(1/3)

because the planet is 20 lght yrs away jane on Earth continues to receive dick's msgs @ 1/3 per year FOR TWETY more years.

PLZ EXPLAIN HOW THIS STATEMENT IS VALID...
 
Doppler Effect
 
why is no one replying?
 

Similar threads

How Does Jane Receive 30 Messages from Dick in the Twin Paradox Scenario?
  • · Replies 2 ·
Replies
2
Views
3K
Question Regarding the Twin Paradox
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Understanding Spacetime simultaneity in twin paradox scenarios
  • · Replies 35 ·
2
Replies
35
Views
4K
High School A scenario to help understand the twin paradox in SR
  • · Replies 20 ·
Replies
20
Views
4K
Undergrad Twin Paradox Explained: No Math Required
  • · Replies 21 ·
Replies
21
Views
3K
Undergrad Twin paradox, virtual clock on ship with Earth time, discontinuity
  • · Replies 115 ·
4
Replies
115
Views
9K
High School My paraphrased explanation of the Twin Paradox
  • · Replies 24 ·
Replies
24
Views
5K
High School Solving the twin paradox with special relativity
  • · Replies 37 ·
2
Replies
37
Views
5K
Undergrad Twin Paradox: Spacetime Physics Ch.4 & 202 Year Difference
  • · Replies 27 ·
Replies
27
Views
2K
High School Why the stay-at-home twin is not considered to be accelerating?
  • · Replies 85 ·
3
Replies
85
Views
8K