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A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre

(A)

Increases as r increases for r < R and for r > R

(B)

Zero as r increases for r < R, decreases as r increases for r > R

(C)

Zero as r increases for r < R, increases as r increases for r > R

(D)

Decreases as r increases for r < R and for r > R

NEET - Medical UG-2019 Medium

Answer & Solution:

\(\large{E=\text{Electric field due to hollow metal sphere with radius R}\\ 1)For~r<R:\\E=0\\2)For~r=R:\\E={\Large{KQ\over R^2}}~\\3)For~r>R:\\E={\Large{KQ\over r^2}}\\\text{Zero as r increases for r < R, decreases as r increases for r > R } }\)

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Other Questions of the same topic

Q1:

A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect ?

(A)

The energy stored in the capacitor decreases K times

(B)

The chang in energy stored is \(\large \frac{1}{2}\: \: CV^{2}\: \: \left ( \frac{1}{K}\: \: -1 \right )\)

(C)

The charge on the capacitor is not conserved

(D)

The potential difference between the plates decreases K times.

NEET - Medical UG-2015 Hard

Q2:

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius ‘a’ centred at the origin of the field, wil be given by

(A)

\(\large A\: \varepsilon _{0}\: a^{2}\)

(B)

\(\large 4\pi \varepsilon _{0}\:\: A a^{3}\)

(C)

\(\large \varepsilon _{0}\:\: A a^{3}\)

(D)

\(\large 4\varepsilon _{0}\:\: A a^{2}\)

NEET - Medical UG-2015 Medium

Q3:

A parallel plate air capacitor has capacity 'C' distance of separation between plates is 'd' and potential difference 'V' is applied between the plates force of attraction between the plates of the parallel plate air capacitor is :

(A)

\(\large \frac{C^{2}V^{2}}{2d^{2}}\)

(B)

\(\large \frac{C^{2}V^{2}}{2d}\)

(C)

\(\large \frac{CV^{2}}{2d}\)

(D)

\(\large \frac{CV^{2}}{d}\)

NEET - Medical UG-2015 Medium

Q4:

If potential (in volts) in a region is expressed as V (x,y,z) = 6xy – y + 2yz, the electric field (in N/C) at point (1,1,0) is :

(A)

\(\large -\left ( 6\hat{i}+9\hat{j}+\hat{k} \right )\)

(B)

\(\large -\left ( 3\hat{i}+5\hat{j}+3\hat{k} \right )\)

(C)

\(\large -\left ( 6\hat{i}+5\hat{j}+2\hat{k} \right )\)

(D)

\(\large -\left ( 2\hat{i}+3\hat{j}+\hat{k} \right )\)

NEET - Medical UG-2015 Easy

Chemistry Biology

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