a. Will the electron strike either of the plates? b. If it strikes a plate, whic

Question

a. Will the electron strike either of the plates? b. If it strikes a plate, which one will it strike, and wheredoes it strike it?
     
     

Explanation / Answer

(a)           the timetaken to travel vertical distance                         vy - voy = at                         ==> t = - voy / a We know that               F = Ee          ==> ma = Ee          == > a = Ee /m            Therefore t = vo sin * m / E*e The distance it travel is             y = voy * t   - 0.5 ( voy *m / E*e) * t2                = vo sin * (vo sin * m / E*e) - 0.5 (Ee / m) *( voy *m / E*e)2 Solving this finally we get                y = (vo2 sin2 *m / 2E*e)                   = ( 6.0 x 106)2 sin245 * 9.1x 10-31 / 2 * 2.0 x 103 * 1.6 x10-19                   = 2.55 cm it will hit the upper plate. (b) with in this time t = vo sin * m / E*e = 1.21 x 10-8 s it is travelling x = vocos * t = 5.12cm i.e., it does not go out.

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