Home
Class 12
PHYSICS
Two events A and B occur at places separ...

Two events A and B occur at places separated by `10^(6) km`, B occuring 5s after A . (a) Find the velocity of a frame in which these events occur at the same place . (b)What is the time interval between the events in this frame ?

Text Solution

Verified by Experts


(a) Suppose the events A and B occur at points X and Y at times t_A and t_B where t_B = t_A +5 s. Consider a small train which is at the point X when the event A occurs. Suppose, this same train moves towards Y and reaches the point Y when the events A and B occur at the same place in the train frame . This frame moves `10^(6)` km in 5s as seen from the original frame . Thus, the velocity of the train frame is
` v =10^(6) km / 5 s = 2 xx 10 s m s ^(-1) `
(b) As the events A and B occur at the same place in the train frame, the time interval between the events measured in this frame is the proper interval . Thus , this time interval is ,
`= (5 5) (sqrt 1 - v^(2)/ c^(2) ) = (5s) (sqrt 1 - (2/ 3 )^(2) `
`= 3.7s`
Promotional Banner

Topper's Solved these Questions

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Short answer|5 Videos

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Objective|7 Videos

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Exercise|28 Videos

  • THE NUCLEOUS

    HC VERMA|Exercise Exercise|53 Videos

  • THERMAL AND CHEMICAL EFFECT OF ELECTRIC CURRENT

    HC VERMA|Exercise Exercise|24 Videos

Similar Questions

Explore conceptually related problems

Define sensation. What are the events occurs for sensation to take place.

Two friends A and B are standing a distance x apart in an open field and wind is blowing from A to B. A beats a drum and B hears the sound t_1 timed after he sees the event. A and B interchange their positions and the experiment is repeated. The velocity of sound in still air is v and the velocity of wind is u . This time B hears the drum t_2 time after he sees the event. Suppose A and B change their positions in such a way that the line joining them becomes perpendicular to the direction of wind while maintaining the separation x . What will be the time lag B finds between seeing and hearing the drum beating by A?

If two events A and B are such that P (barA) = 3/10 and P(A nn barB) = 1/2 , then P(A nn B) is

Two events take place simultaneously at points A and B as seen in the lab. Frame. They also occur simultaneously in a frame moving with respect to the lab in a direstion

Differentiate between microsporogenesis and megasporogenesis . Which type of cell division occurs during these events ? Name the structures formed at the end of these two events .

For the three events A ,B ,a n dC ,P (exactly one of the events AorB occurs) =P (exactly one of the two evens BorC ) =P (exactly one of the events CorA occurs) =pa n dP (all the three events occur simultaneously) =p^2w h e r e 0 < p < 1//2. Then the probability of at least one of the three events A ,Ba n dC occurring is a. (3p+2p^2)/2 b. (p+3p^2)/4 c. (p+3p^2)/2 d. (3p+2p^2)/4

Two friends A and B are standing a distance x apartin an open field and wind is blowing from A to B.A beats a drum and B hears the sound t_1 timed after he sees the event. A and B intechange their positions and te experiment is repeated. This time B hears teh drum t_2 time after he sees the event. Calculte teh velocity of sound in still air v and the velocity of wind u. Neglect the tiem light takes in travelling between the friends.