A charge q of mass m enters a region of electric field E = -E₀ĵ with a velocity v₀î + v₀ĵ at origin. Find the x coordinate where the charge hits the x axis again. (Neglect effect of gravity)
A charge q of mass m enters a region of electric field E = -E₀ĵ with a velocity v₀î + v₀ĵ at origin. Find the x coordinate where the charge hits the x axis again. (Neglect effect of gravity)
Option 1 -
v₀²m / E₀q
Option 2 -
2v₀²m / E₀q
Option 3 -
v₀²m / 2E₀q
Option 4 -
3v₀²m / 2E₀q
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1 Answer
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Correct Option - 2
Detailed Solution:In y axis u? = v? a? = -E? q / m
s? = 0, u? t + (1/2)a? t² = 0 ⇒ t = 2u? /a? = 2v? m/E? q
x coordinate at that time = v? × t = (2v? m/0) × v? = (2v? ²m)/E? q
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From Gauss law
For maximum value of s, initially, electron must move away from plate.

ut + at2 = s
t = 1u = 1m/s s = –1 m
1 × 1 – a × 12 = – 1
-> a = 4m/s2
= 4.05 × 10–22C/m2
Class 12 physics chapter 1 Electric Charges and Fields is an important chapter for the CBSE Board exam. In unit 1 of the CBSE Board exam of class 12 Physics, there are questions from three chapters including - Electric Charges and Fields, Electrostatics, and Electrostatic Potential and Capacitance. This unit carries a total 16 marks.
According to question, we can write
For maxima of force
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