Suppose that the particle in Question 1.33 is an electron projected with velocity v_x = 2.0 x 10⁶ m s^–1. If E between the plates separated by 0.5 cm is 9.1 x 10² N/C, where will the electron strike the upper plate? (|e| = 1.6 x 10^–19 C, m_e = 9.1 x 10^–33 kg.)

Solution

Given,
An electron is projected with velocity v_x= 2.0 $\times$ $10^{6} m / s$ .
Distance between the plates = 0.5 cm
Electric field between plates - $\overset{⇀}{E}$ = $9.1 \times$
Acceleration,

$a = \frac{q E}{m} = \frac{1.6 \times 10^{- 19} \times 9.1 \times 10^{2}}{9.1 \times 10^{- 31}} = 1.6 \times 10^{14} m / s^{2}$

Using formula    $y = u t + \frac{1}{2} a t^{2},$

We get,    $0.005 = 0 + \frac{1}{2} \times 1.6 \times 10^{14} \times t^{2}$

Simplifying for value of t, we get

   $t = 8 \times 10^{- 9} s$

The electron covers a vertical distance which is given by
   $y = v_{x} t = 2.0 \times 10^{6} \times 8 \times 10^{- 9} = 1.6 \times 10^{- 2} m = 1.6 c m$

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Electric Charges And Fields

Suppose that the particle in Question 1.33 is an electron projected with velocity v_x = 2.0 x 10⁶ m s^–1. If E between the plates separated by 0.5 cm is 9.1 x 10² N/C, where will the electron strike the upper plate? (|e| = 1.6 x 10^–19 C, m_e = 9.1 x 10^–33 kg.)

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Suppose that the particle in Question 1.33 is an electron projected with velocity vx = 2.0 x 106 m s–1. If E between the plates separated by 0.5 cm is 9.1 x 102 N/C, where will the electron strike the upper plate? (|e| = 1.6 x 10–19 C, me = 9.1 x 10–33 kg.)

Some More Questions From Electric Charges and Fields Chapter

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Suppose that the particle in Question 1.33 is an electron projected with velocity v_x = 2.0 x 10⁶ m s^–1. If E between the plates separated by 0.5 cm is 9.1 x 10² N/C, where will the electron strike the upper plate? (|e| = 1.6 x 10^–19 C, m_e = 9.1 x 10^–33 kg.)