SATHEE: Electrostatics Question 241

Electrostatics Question 241

Question: The electric field in a region is radially outward with magnitude $E = A γ_{0}$ . The charge contained in a sphere of radius $γ_{0}$ centered at the origin is [AMU 1999]

Options:

A) $1.77 m m$

B) $3.51 m m$

C) $1.77 c m$

D) $3.51 c m$

Show Answer

Answer:

Correct Answer: A

Solution:

Let an electron is projected towards the plate from the r distance as shown in fig.

It will not strike the plate if and only if KE £ e(E×r) (where E = Electric field due to charge plate $= \frac{σ}{2 ε_{0}}$ ) therefore $r \geq \frac{K E}{e E}$ .

Hence minimum value of r is given by $r = \frac{K E}{e E} = \frac{200 e V}{e \times \frac{σ}{2 ε_{0}}}$

$= \frac{400 \times 8.86 \times 10^{- 12}}{2 \times 10^{- 6}} = 1.77 m m$

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Electrostatics Question 241

Question: The electric field in a region is radially outward with magnitude E=Aγ0 . The charge contained in a sphere of radius γ0 centered at the origin is [AMU 1999]

Options:

Answer:

Solution:

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Question: The electric field in a region is radially outward with magnitude $E = A γ_{0}$ . The charge contained in a sphere of radius $γ_{0}$ centered at the origin is [AMU 1999]