Paragraph for Question Nos. 36 to 38 The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density ρ(r) [charge per unit volume] is dependent only on the radial distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction. Figure : 1. 36. The electric field at r = R is   Independent of a   Directly proportional to a   Directly proportional to a2   Inversely proportional to a   Hint Half-n-half Clue   2. 37. For a = 0, the value of d (maximum value of ρ as shown in the figure) is   3Ze 4ΠR3   3Ze ΠR3   4Ze 3ΠR3   Ze 3ΠR3   Half-n-half Clue   3. 38. The electric field within the nucleus is generally observed to be linearly dependent on r. This implies   a = 0   a = R 2   a = R   a = 2R 3   Half-n-half Clue