The nuclear charge (`Ze`) is non uniformlly distribute with in a nucleus of radius r. The charge density `rho(r)` (charge per unit volume) is dependent only on the radial distance r form the centre of the nucleus s shown in figure. The electric field is only along the radial direction. The electric field at `r=R` is
A
independent of a
B
directly proportional to a
C
inversely proportional to a
D
none of these
Text Solution
Verified by Experts
The correct Answer is:
D
Topper's Solved these Questions
IIT QUESTIONS 3
D MUKHERJEE|Exercise Matrix matching type|1 Videos
IIT QUESTIONS 3
D MUKHERJEE|Exercise Assertion -Reason type|2 Videos
IIT QUESTIONS 2
D MUKHERJEE|Exercise Matrix matching type|1 Videos
IIT QUESTIONS 4
D MUKHERJEE|Exercise Integer type|10 Videos
Similar Questions
Explore conceptually related problems
The nuclear charge ( Ze ) is non uniformlly distribute with in a nucleus of radius r. The charge densilty rho(r) (charge per unit volume) is dependent only on the radial distance r form the centre of the nucleus s shown in figure. The electric field is only along the radial direction. The electric field within the nucleus is generaly observed to be linearly dependent on r. This implies
The nuclear charge ( Ze ) is non uniformlly distribute with in a nucleus of radius r . The charge density rho(r) (charge per unit volume) is dependent only on the radial distance r form the centre of the nucleus s shown in figure. The electric field is only along the radial direction. For a=0 the value of d (maximum value of rho as shown in the figure) is
Charges q is uniformly distributed over a thin half ring of radius R . The electric field at the centre of the ring is
A charge +Q , is uniformaly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r form the centre of the spehre where : (i) 0 lt r lt R and (ii) r gt R
A sphere of radius R has a charge density sigma . The electric intensity at a point at a distance r from its centre is
An isolated solid metal sphere of radius R is given an electric charge. The variation of the intensity of the electric field with the distance r from the centre of the sphere is best shown by
A solid sphere of radius R has a volume charge density rho=rho_(0) r^(2) (where rho_(0) is a constant ans r is the distance from centre). At a distance x from its centre (for x lt R ), the electric field is directly proportional to :
The electric field at a distance (3R)/2 from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2 from the centre of the sphere is :
A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the centre. What is the ratio of the magnitude of the electric field at a distance 2 R from the centre to the magnitude of the electric field at a distance of R//2 from the centre?
D MUKHERJEE-IIT QUESTIONS 3-Linked -comprehension type