Component of force acting on electron

An electron with a speed of 1.2 × 1 0 7 m/s 1.2 \times 10^{7} \text{ m/s} moves horizontally into a region where a constant vertical force of 4.5 × 1 0 16 N 4.5 \times 10^{-16} \text{ N} acts on it. The mass of the electron is 9.11 × 1 0 31 kg. 9.11 \times 10^{-31} \text{ kg.} Determine the approximate vertical distance the electron is deflected while it has moved 30 mm 30 \text{ mm} horizontally.

1.5 mm 4.5 mm 1.0 mm 3.0 mm

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Shuvam Nayak
Apr 26, 2014

By using s = ut + 1/2 a t^2 - eqn 1 we can reach to ans. Since initial vertical speed is zero so the first term of equation goes 0 . so we are left with s = 1/2.a.t^2 . - eqn 2 Now, for t we get it from the time taken by the electron at 10^7 m/s to travel 30 mm distance horizontally which is t = (30 * 10^ -3. ) / (10^7) For a, we get it from a = F/ m =( 4.5 * 10^ -16 ) / ( 9.11 * 10^ -31 ) Put the value of t n a in eqn 2 and u ll get ans in metre . Multiply the ans by 10^3 and u ll get the desired ans of 1.5 mm .

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...