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Electrostatics question

2022 · 29 Jul · Shift 1 · Q57
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Electrostatics question

2022 · 29 Jul · Shift 1 · Q57

JEE MainPhysicsElectrostaticsMCQ+4 / −1
A spherically symmetric charge distribution is considered with charge density varying as ρ(r)={ρ0(34−rR) for r≤R zero  for r>R\rho(r)= \begin{cases}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text { for } r \leq R \\ \text { zero } & \text { for } r>R\end{cases}ρ(r)={ρ0​(43​−Rr​) zero ​ for r≤R for r>R​ Where, r(r<R)r(r \lt R)r(r<R) is the distance from the centre O (as shown in figure). The electric field at point P will be: JEE Main 2022 (Online) 29th July Morning Shift Physics - Electrostatics Question 106 English
  1. A
    ρ0r4ε0(34−rR)\frac{\rho_{0} \mathrm{r}}{4 \varepsilon_{0}}\left(\frac{3}{4}-\frac{r}{R}\right)4ε0​ρ0​r​(43​−Rr​)
  2. B
    ρ0r3ε0(34−rR)\frac{\rho_{0} r}{3 \varepsilon_{0}}\left(\frac{3}{4}-\frac{r}{R}\right)3ε0​ρ0​r​(43​−Rr​)
  3. C
    ρ0r4ε0(1−rR)\frac{\rho_{0} r}{4 \varepsilon_{0}}\left(1-\frac{r}{R}\right)4ε0​ρ0​r​(1−Rr​)
  4. D
    ρ0r5ε0(1−rR)\frac{\rho_{0} r}{5 \varepsilon_{0}}\left(1-\frac{r}{R}\right)5ε0​ρ0​r​(1−Rr​)
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