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Question

A uniform magnetic field exists in the plane of paper pointing from left to right as shown in Figure. In the field an electron and a proton move as shown. In what direction the electron and the proton experience force ?

79482_b1294db96b8b474ca06994e2013ca269.png

A
forces both pointing into the plane of paper
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B
forces both pointing out of the plane of paper
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C
forces pointing into the plane of paper and out of the plane of paper, respectively
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D
force pointing opposite and along the direction of the uniform magnetic field respectively
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Solution

The correct option is A forces both pointing into the plane of paper
Force experience by a charged particle having charge q moving with a velocity V in a magnetic field B is given by:
F=q(V×B). Now the qelectron=qproton and Velectron=Vproton. The force experience by both of them will be in same direction.
Vproton=V^j;B=B^iF=eVB(^j×^i)=eVB^k
So the force experience by both of them will be pointing into the plane of paper.

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