Find the electric force between two protons separated by a distance of $1$ fermi ( $1$ fermi $= 10^{- 15} m$ ). The protons in a nucleus remain at a separation of this order.

Open in App

Solution

The distance between the two protons is $10^{- 15} m$ .
The amount of charge on a proton is $1.6 \times 10^{- 19} C$

Electric force is given by
$= F_{e} = \frac{k \cdot e \cdot e}{r^{2}} = \frac{k \cdot e^{2}}{(10^{- 15})^{2}}$

$= \frac{9 \times 10^{9} \times (1.6 \times 10^{- 19})^{2}}{(10^{- 15})^{2}}$

$= \frac{9 \times 10^{9} \times (1.6)^{2} \times 10^{- 38}}{10^{- 30}} = 90 \times (1.6)^{2} = 230.4 N$

Suggest Corrections

Similar questions

Find the eelectric force btween two protons separated bya distance of 1 fermi $(1 f e r m i = 10 - 15)$ the protons in a nucleus remain at a separation of this order.

Q. Consider a gold nucleus to be a sphere of radius 6.9 fermi in which protons and neutrons are distributed. Find the force of repulsion between two protons situated at largest separation. Why do these protons not fly apart under this repulsion?

Q. Suppose an attractive nuclear force acts between two protons which may be written as F=Ce^−kr/r². (a) Write down the dimensional formulae and appropriate SI units of C and k. (b) Suppose that k = 1 fermi⁻¹ and that the repulsive electric force between the protons is just balanced by the attractive nuclear force when the separation is 5 fermi. Find the value of C.

Suppose an attractive nuclear forc eacts between two protons which may be written as $F = C \frac{e^{- k r}}{r^{2}}$ (a) Write down th edimensional formulae and appropriate SI unit of c and k. (b) supose that k = $1 f e r m i^{- 1}$ and that the repulsive electric force between the protons is just balanced by the attractive nuclear force when the separation is 5 fermi. Find the value of C.

Q. Two Nucleons are at a separation of

1

fermi. Proton have a charge

1.6 \times 10^{- 19}

C

, the nuclear force between them is

F_{1}

both are neutrons,

F_{2}

if both are protons,

F_{3}

if one neutron and one proton then

Join BYJU'S Learning Program

Find the electric force between two protons separated by a distance of 1 fermi (1 fermi=10−15m). The protons in a nucleus remain at a separation of this order.

The distance between the two protons is 10−15 m.The amount of charge on a proton is 1.6×10−19 CElectric force is given by=Fe=k⋅e⋅er2=k⋅e2(10−15)2=9×109×(1.6×10−19)2(10−15)2=9×109×(1.6)2×10−3810−30=90×(1.6)2=230.4N

Find the electric force between two protons separated by a distance of $1$ fermi ( $1$ fermi $= 10^{- 15} m$ ). The protons in a nucleus remain at a separation of this order.