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Question

Physics Question on Moving charges and magnetism

A charge having q/mq/m equal to 108 c/kg10^8 \ c/kg and with velocity 3×105 m/s3×10^5 \ m/s enters into a uniform magnetic field B=0.3 teslaB=0.3 \ tesla at an angle 30º30º with direction of field. Then radius of curvature will be:

A

0.01 cm0.01\ cm

B

0.5 cm0.5 \ cm

C

1 cm1\ cm

D

2 cm2\ cm

Answer

0.5 cm0.5 \ cm

Explanation

Solution

A charge having q/m equal to 10 8 c/kg

r=mVqBr=\frac {mV_⊥}{qB}

r=(mq)(3×105×sin 30°0.3)r=(\frac {m}{q})(\frac {3×10^5×sin\ 30°}{0.3})

r=3×105108×0.3×2r=\frac {3×10^5}{10^8×0.3×2}

r=0.5×102mr=0.5×10^{-2}m

r=0.5 cmr =0.5\ cm

So, the correct option is (B): 0.5 cm0.5\ cm