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If proton and alpha particle moving with same energy enter normally in a uniform magnetic field then the ratio of their radii and time period will be?​

Answer»

Explanation:Time period of revolution is given as, begin mathsize 11px STYLE STRAIGHT T space equals space fraction numerator 2 πm over denominator Bq end fraction end style Let  mp = mass of the proton       mα = mass of the alpha particle.       qp = charge of the proton       qα = charge of the alpha particle. For proton: time period, begin mathsize 11px style straight T subscript 1 space equals space fraction numerator 2 πm subscript straight p over denominator Bq subscript straight p end fraction equals space fraction numerator 2 πm over denominator Bq end fraction end style For alpha particle: time period, SYNTAX error from line 1 column 55 to line 1 column 96. Unexpected 'mathvariant'. =>begin mathsize 11px style fraction numerator 2 straight PI left parenthesis 4 straight m right parenthesis over denominator straight B left parenthesis 2 straight q right parenthesis end fraction equals space 2 open parentheses fraction numerator 2 πm over denominator Bq end fraction close parentheses space equals space 2 straight T subscript 1 space left parenthesis straight m subscript straight alpha space equals space 4 straight m subscript straight p comma straight q subscript straight alpha equals 2 straight q subscript straight p right parenthesis end style As begin mathsize 11px style straight R equals mv over Bq end style So, begin mathsize 11px style straight r proportional to straight m over straight q end style Therefore, =>



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