Mysteriously a charged particle moving with velocity v =v_0 entered...

Mysteriously a charged particle moving with velocity

\vec{v}=v_0 \hat{\imath}

entered the tube of Thomson's apparatus where the parallel metallic plates of length 5 cm along X axis are separated by 2 cm . Under the influence of a magnetic field

\vec{B}=\left(4.57 \times 10^{-2} \widehat{k}\right) \mathrm{T}

, the particle is found to deflect by an angle of

5.7^{{}^{{}^{\circ}}}

. When a potential of 2000 volt is applied between the two plates, the particle is found to move straight to the screen without any deflection. Then,

Options

Athe velocity $v_0=2.19 \times 10^6 \mathrm{~m} / \mathrm{s}$ .
Bthe charge to mass ratio of the particle is $9.58 \times 10^7 \mathrm{C} / \mathrm{kg}$ .
Cradius of the circular path in the magnetic field is 50 cm .
Dthe particle is identified as a proton.

Correct answer

D. the particle is identified as a proton.

Step-by-step solution

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