NEETPhysicsElectrostatics
Paragraph: The nuclear charge ( Ze ) is non-uniformly distributed within a nucleus of radius R . The charge density (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. Question: For a=0 , the value of d (maximum value of as shown in the figure) is
Options
- A3 Z e 4 R^3
- B3 Z e R^3
- C4 Z e 3 R^3
- DZ e 3 R^3
Correct answer
B. 3 Z e R^3
Step-by-step solution
For a=0 aligned & (r)= (- d R r+d ) & Now ₀^R (4 r^2 ) (d- d R r ) d r= net charge =Z e aligned Solving this equation, we get d= 3 Z e R^3