1
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $$\rho(r)$$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.

IIT-JEE 2008 Paper 2 Offline Physics - Electrostatics Question 11 English Comprehension

The electric field at r = R is :

A
independent of a
B
directly proportional to a
C
directly proportional to a$$^2$$
D
inversely proportional to a
2
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $$\rho(r)$$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.

IIT-JEE 2008 Paper 2 Offline Physics - Electrostatics Question 9 English Comprehension

For a = 0, the value of d (maximum value of $$\rho$$ as shown in the figure) is

A
$${{3Ze} \over {4\pi {R^3}}}$$
B
$${{3Ze} \over {\pi {R^3}}}$$
C
$${{4Ze} \over {3\pi {R^3}}}$$
D
$${{Ze} \over {3\pi {R^3}}}$$
3
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $$\rho(r)$$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.

IIT-JEE 2008 Paper 2 Offline Physics - Electrostatics Question 12 English Comprehension

The electric field within the nucleus is generally observed to be linearly dependent on r. This implies

A
$$a = 0$$
B
$$a = {R \over 2}$$
C
$$a = R$$
D
$$a = {{2R} \over 3}$$
4
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is

IIT-JEE 2007 Paper 2 Offline Physics - Electrostatics Question 7 English

A
zero everywhere
B
non-zero and uniform
C
non-uniform
D
zero only at its center
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