Solveeit Logo

Question

Question: The nucleus of helium atom contains two protons that are separated by distance \(3.0 \times 10^{- 15...

The nucleus of helium atom contains two protons that are separated by distance 3.0×10153.0 \times 10^{- 15}m. The magnitude of the electrostatic force that each proton exerts on the other is.

A

20.6N20.6N

B

25.6N25.6N

C

15.6N15.6N

D

12.6N12.6N

Answer

25.6N25.6N

Explanation

Solution

: Charge of proton is qp=1.6×1019Cq_{p} = 1.6 \times 10^{- 19}C Distance between the protons is r=3×1015mr = 3 \times 10^{- 15}m

The magnitude of electrostatic force between protons is

Fe=qpqp4πε0r2F_{e} = \frac{q_{p}q_{p}}{4\pi\varepsilon_{0}r^{2}}

=9×109×1.6×1019×1.6×1019(3×1015)2=25.6N= \frac{9 \times 10^{9} \times 1.6 \times 10^{- 19} \times 1.6 \times 10^{- 19}}{(3 \times 10^{- 15})^{2}} = 25.6N