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Unformatted text preview: c ) 2 / c 2 = 1.512 so γ p – 1 = (0.511/938.3) 0.512 = 2.288 . 10 4 This is a very small number so γ p ~ 1, so u p << c Expanding, γ p = 1 1( u p / c ) 2 = 1 + 1 2 .2.( u p / c ) 2 + ....... So, ( u p / c ) 2 = 2.288.104 or u p = 1.512. 10 2 c (b) Momentum of electron = γ e m e u e Momentum of proton = γ p m p u p Equating these , we get p u p = ( m e m p ) e u e = ( 0.511 938.3 )(1.512)(0.75 c ) = 6.175.104 c ( u p / c ) 1( u p / c ) 2 = 6.175.104 This is satisfied to a good approximation if u p = 6.175. 10 4 c...
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 Winter '10
 SINHA
 Special Relativity, Velocity, Spaceship, Relative velocity, proper length, Relativistic Addition

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