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A stream of a positively charged particles having \frac{q}{\mathrm{~m}}=2 \times 10^{11} \frac{\mathrm{C}}{\mathrm{kg}} and velocity \vec{v}_0=3 \times 10^7 \hat{\mathrm{im}} / \mathrm{s}.is deflected by an electric field \text { 1.8jkV/m }.The electric field exists in a region of 10 cm along x direction. Due to the electric field, the deflection of the charge particles in the y direction is _____ mm 

Option: 1

2


Option: 2

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Option: 3

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Option: 4

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Answers (1)

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\begin{aligned} & \mathrm{y}=\frac{1}{2} \mathrm{at}^2 \\ & \mathrm{y}=\frac{1}{2} \frac{\mathrm{qE}}{\mathrm{m}} \mathrm{t}^2 \\ & \ell=\mathrm{v}_0 \mathrm{t} \\ & \mathrm{y}=\frac{1}{2} \frac{\mathrm{qE}}{\mathrm{m}}\left(\frac{\ell}{\mathrm{v}_0}\right)^2 \end{aligned}

\begin{aligned} & y=\frac{1}{2}\left(2 \times 10^{11}\right)\left(1.8 \times 10^3\right)\left(\frac{0.1}{3 \times 10^7}\right)^2 \\ & y=2 \mathrm{~mm} \end{aligned}

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Ritika Kankaria

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