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 ?
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∘^i⇒F=eV∘B∘(^−j×^i)=−eV∘B∘^k So the force experience by both of them will be pointing into the plane of paper.