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CBSE Class 12-science Answered

A beam of protons passes undeflected with a horizontal velocity v, through a region of electric and magnetic fields, mutually perpendicular to each other  and normal to the direction of the beam. If the magnitudes of the electric and magnetic fields are 50 kV/m and 100 mT respectively ; calculate the (i) velocity v of the beam. (ii) force with which it strikes a target on the screen, if the proton beam current is equal to 0.80 mA.
Asked by Topperlearning User | 21 May, 2015, 09:59: AM
answered-by-expert Expert Answer

i) For a beam of charged particles to pass undeflected through crossed electric and magnetic fields, the condition is that electric and magnetic forces on the beam must be equal and opposite i.e.,

(ii) The beam strikes the target with a constant velocity, so force exerted on the target is zero. However, if proton  beam comes to rest, it exerts a force on the target, equal to rate of change of linear momentum of the beam i.e.,


where n is the number of protons striking the target per second

Answered by | 21 May, 2015, 11:59: AM
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