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# Suppose that the particle in is an electron projected with velocity vx 2 0 10 raise to 6 m s 1 If E between the plates separated by 0 5 cm is 9 1 multiply by 10 raise to 2 N upon C where will the electron strike the upper plate

1.34) Suppose that the particle in is an electron projected with velocity $v_{x}=2.0 \times 10^{6}ms^{-1}$. If E between the plates separated by 0.5 cm is $9.1 \times 10^{2}\frac{N}{C}$, where will the electron strike the upper plate? (|e|=$\left | e \right |=1.6 \times 10^{-19}, m_{e}=9.1\times 10^{-31}kg$)

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$\therefore$ The vertical deflection of the particle at the far edge of the plate is $s=\frac{qEL^{2}}{2mv_{x}^{2}}$

given s= 0.5cm=0.005cm

calculate for L from the above equation

$L=\sqrt{\frac{2smv_x^2}{qE}}=\sqrt{\frac{2\times 0.005\times 9.1\times 10^{-31}(2\times10^6)^2 }{1.6\times 10^{-19}\times9.1\times10^2}}$

L=1.6 cm

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