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two particles having same specific charge enter a uniform magnetic field with the same speed but at angles 30 and 60 degrees with the field. Let a, b ,c be the ratios of thier periods, radii and pitches of thier helical paths respectively, then 1) abc>1 2)a+b=2 [2 ] c 3)a 2 =c 4)ab=c none of the options are matching after i solved. please help


two particles having same specific charge enter a uniform magnetic field with the same speed but at angles 30 and 60 degrees with the field. Let a, b ,c  be the ratios of thier periods, radii and pitches of thier helical paths respectively, then
1) abc>1
2)a+b=2[2 ] c
3)a2=c
4)ab=c

none of the options are matching after i solved. please help


Grade:upto college level

1 Answers

ROSHAN MUJEEB
askIITians Faculty 833 Points
3 years ago
r=T=2πmqBa=1r=T=2πmqBa=1
r=mV1qB,b=sin30∘sin60∘=13–√r=mV1qB,b=sin30∘sin60∘=13
Pitch avcos0c=cos30∘cos60∘vcos0c=cos30∘cos60∘
Soabc=1Soabc=1.

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