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An electron beam accelerated from rest through a potential difference of 5000 V in vacuum is allowed to impinge on a surface normally. The incident current is 50μA and if the electrons come to rest on striking the surface, the force on it is

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a

1.1924×10−8N

b

2.1×10−8N

c

1.6×10−8N

d

1.7×10−8N

answer is A.

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Detailed Solution

Energy =12mv2=5000eV=5000×1.6×10−19 joule mv=2×5000×1.6×10−19m=4×10−8m=n=qe=Ite=50×10−6×11.6×10−19=31.25×1013Force = change of momentum per second=nmv=31.25×1013×4×10-8m =1.1924×10-8N

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