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JEE Main 20238 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2023 · 8 April · Evening Shift · Physics · Electrostatics

Electric potential at a point P due to a point charge of 5 × 10 ^ -...

Electric potential at a point PP due to a point charge of 5×10−9C5 \times {10}^{- 9}C is 50V50V. The distance of PP from the point charge is:
(Assume, 14πε0=9×109Nm2C−2\dfrac{1}{4\pi{ε}_{0}} = 9 \times {10}^{9}N{m}^{2}{C}^{- 2})

Options

  1. A9cm9cm
  2. B3cm3cm
  3. C0.9cm0 . 9cm
  4. D90cm90cm

Correct answer

D. 90cm90cm

Step-by-step solution

The electric potential for a point charge is given by

V=Q4πε0rV = \dfrac{Q}{4\pi{ε}_{0}r}

The data given is

V=50VQ=5×10−9CV = 50VQ = 5 \times {10}^{- 9}C

So, the distance of the point is

r=14πε0QVr = \dfrac{1}{4\pi{ε}_{0}}\dfrac{Q}{V}
⇒r=9×109×5×10−950⇒ r = 9 \times {10}^{9} \times \dfrac{5 \times {10}^{- 9}}{50}
⇒r=0.9m=90cm⇒ r = 0 . 9m = 90cm

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