# NEET Physics Mathematical Tools Questions Solved

A ball of radius R carries a positive charge throughout its volume, such that the volume density of charge depends on distance r from the ball's centre as $\rho ={\rho }_{0}\left(1-\frac{r}{R}\right)$, where ${\rho }_{0}$ is a constant. Assuming the permittivity of ball to be one, find magnitude of electric field as a function of distance r, both inside  the ball. [This question is only for Dropper and XII batch]

1.$\frac{{\rho }_{0}r}{3{\epsilon }_{0}}$

2. $\frac{{\rho }_{0}\left(4rR-3{r}^{2}\right)}{12{\epsilon }_{0}R}$

3. $\frac{{\rho }_{0}\left(4rR-3{r}^{2}\right)}{3{\epsilon }_{0}R}$

4. $\frac{{\rho }_{0}\left(4rR-5{r}^{2}\right)}{3{\epsilon }_{0}R}$

Concept Videos :-

#16 | Calculus: Differential Equation
#19 | Numericals

Concept Questions :-

Integration
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