Q.

In each figure of column-I, a spherical uniform charge distribution is given in column-II, direction of electric field is represented by arrows. Match the direction of electric field due to charge distribution at given point in figures of column-I.

 Column-I Column-II
A)A solid hemisphere, uniformly positive charged direction of resultant electric field at point P must be (point P lies on diameter AB as shown)
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P)
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B)A solid uniformly positive charged hemisphere with a hemispherical cavity and  C1 and C2 are the centres of hemispheres, direction of resultant electric field at point C2 can be
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Q)
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C)A solid uniformly positive charged hemisphere with a hemispherical cavity and  C1 and C2 are the centres of hemispheres, C1P=C2P=R4  where R is radius of hemisphere and radius of cavity is  R2. Direction of resultant electric field at point P must beR)
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D)A solid hemisphere, uniformly charged, direction of resultant electric field at centre C can be 
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S)
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  T)
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a

A-R,B-R,C-R,D-ST

b

A-S,B-S,C-S,D-ST

c

A-ST,B-R,C-R,D-R

answer is A.

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Detailed Solution

Electric field should be normal to plane surface so that electric field inside a shell is zero.

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In each figure of column-I, a spherical uniform charge distribution is given in column-II, direction of electric field is represented by arrows. Match the direction of electric field due to charge distribution at given point in figures of column-I. Column-I Column-IIA)A solid hemisphere, uniformly positive charged direction of resultant electric field at point P must be (point P lies on diameter AB as shown)P)B)A solid uniformly positive charged hemisphere with a hemispherical cavity and  C1 and C2 are the centres of hemispheres, direction of resultant electric field at point C2 can beQ)C)A solid uniformly positive charged hemisphere with a hemispherical cavity and  C1 and C2 are the centres of hemispheres, C1P=C2P=R4  where R is radius of hemisphere and radius of cavity is  R2. Direction of resultant electric field at point P must beR)D)A solid hemisphere, uniformly charged, direction of resultant electric field at centre C can be S)  T)