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Q.

Given below are two statements:
Statement I : An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero but the electric field is not zero anywhere in the sphere.
Statement II : If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at any point on the spherical surface of radius r (r<R)  is zero but the electric flux passing through this closed spherical surface of radius r is not zero. 
In the light of the above statements, choose the correct answer from the options given below:
 

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a

Both Statement I and Statement II are true

b

Statement I is true but Statement II is false

c

Both Statement I and Statement II are false

d

Statement I is false but Statement II is true

answer is B.

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Detailed Solution

Question Image

E.ds=qinε0=0=ϕ
Flux of E¯ through sphere is zero.
But E.ds=0{E.ds0} for small section ds only
Statement II
Question Image
As charge encloses within Gaussian surface is equal to zero.
ϕ=E.ds=0
Option (2) Statement I correct Statement II false

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Given below are two statements:Statement I : An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero but the electric field is not zero anywhere in the sphere.Statement II : If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at any point on the spherical surface of radius r (r<R)  is zero but the electric flux passing through this closed spherical surface of radius r is not zero. In the light of the above statements, choose the correct answer from the options given below: