Electrostatics Question 239

Question: The charge on $ 500cc $ of water due to protons will be [RPET 1997]

Options:

A) Increases as $ r $ increases for $ r<R $

B) Decreases as $ r $ increases for $ 0<r<\infty $

C) Decreases as $ r $ increases for $ R<r<\infty $

D) Is discontinuous at $ r=R $

Show Answer

Answer:

Correct Answer: A , C

Solution:

For non-conducting solid sphere $ E _{in}\propto r $ and $ E _{out}\propto \frac{1}{r^{2}} $ i.e. for r < R; E increases as r increases and for R < r < ¥; E decreases as r increases

For non-conducting solid sphere $ E _{in}\propto r $ and $ E _{out}\propto \frac{1}{r^{2}} $ i.e. for r < R; E increases as r increases and for R < r < ¥; E decreases as r increases



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