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Questions  

A beam of mixture of α particles and protons are accelerated through same potential difference before entering into the magnetic field of strength B.  If r1=5 cm, then r2 is 

a
5 cm
b
52 cm
c
102 cm
d
20 cm

detailed solution

Correct option is B

r=mvqB=2mEqB=2mqVqB=mq×2VB⇒  r2r1=41×12=2⇒r2=2r1=52 cm

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What is the value of B (in ×10-8 T ) that can be set up at the equator to permit a proton of speed 107 m/s to circulate around the earth? R=6.4×106 m,mP=1.67×10-27 kg


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