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JEE Advance 2008
Paper-2
Question
The nuclear charges (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 radial distance $r$ form the centre of the nucleus as 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
Select the correct option:
A
$\frac{3 Z e}{4 \pi R^3}$
B
$\frac{3 Z e}{\pi R^3}$
C
$\frac{4 Z e}{3 \pi R^3}$
D
$\frac{\mathrm{Ze}}{3 \pi \mathrm{R}^3}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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