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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Magnetic field: calculating deflection.
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Prakriteesh (153)

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An electron is projected horizontally with a kinetic energy 10 kev. A magnetic field of strength 1.0 X 10-7 T exists in the vertically upward direction. Calculate the sideways deflection of the electron in traveling through 1m. Make appropriate approximations.
 Ans: 1.5 cm approx.
 

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pink_ele (1235)

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easy hai yaar!!!!!!!!!!
look
electron follows projectile motion towards the feiel force
ok
1/2mv2=1o kev
calculate v frm this
F=ma=bvqsin
calculate
a frm this
now
horizontal motion
s=vt
t=(1)/v
also vertically
s=1/2 at2
s=a/(2v2)
uwill get ans
if hav any prob nugdge me

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Prakriteesh (153)

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Hi pink_ele, I couldn't understand why the motion should be projectile. We got that if a charge is projected in a magnetic field then its motion is either circular or helical, because the magnetic force is always perpendicular to the velocity of the particle (in projectile motion force is not always perpendicular to velocity). Here, the angle between the field and the velocity, i.e. theta = 90 degree, so the path should be circular. Moreover, even if we consider it to be projectile and solve the problem, still the answer comes to be 0.00015 m = 0.015 cm.

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