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Could you please answer part (IV) please with reasoning. 1.(a) In a collision be

ID: 1770320 • Letter: C

Question

Could you please answer part (IV) please with reasoning.

1.(a) In a collision between two particles, briefly explain whether total rest mass is con- served and also whether it is invariant. (b) In an interaction between a group of particles, briefly explain whether total charge is conserved and also whether it is invariant. (c) Omar is standing in a laboratory observing a muon and a photon that are travelling in the same direction. According to Omar, the muon has speed 0.8c and mass m, while the photon has speed cand energy E. Lily is moving at speed 0.7c in the same direction as the particles. Answer the following questions, leaving your answers in terms of the quantities m, E and c. (i) According to Lily, what is the speed of the muon? (ii) According to Lily, what is the total energy of the muon? (iii) According to Lily, what is the speed of the photon? (iv) According to Omar, the muon decays in the middle of the lab at exactly the same time that the photon collides with the far wall. According to Lily, does the muon decay before or after the photon hits the wall, or at the same time? You must give your reasoning Assume both observers are intelligent, meaning t travel times when determining the order of events in their reference frames. hat they correct for signal Hint: If you use the Lorentz transformations, choose a coordinate system and then decide which observer is in reference frame S and which is in S. You may also choose to use a spacetime diagram. (23 marks)

Explanation / Answer

iv) The velocity of photon will be same both for Omer and Lily according to 2nd law of releativity.So for Omer who is at rest the distance travelled will be larger as compared to Lily due to length contraction.Thus Lily will see it after the photon strikes the wall as it will travel in shorter time compared to Omer.

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