Chapter 11: Q19E (page 518)

Show thatthe energy required to remove a neutron from helium- $4$ is . $20 .6 MeV$

Short Answer

Expert verified

Energy required to remove one neutron from helium- $4$ is $20.6 MeV$ .

Step by step solution

Given data

Mass of neutron, $m_{n} = 1.008665 u$ .

Atomic mass of helium, $- 4, M_{\frac{4}{2}} He = 4.002603 u$ .

Speed of light, $c = 3 \times 10^{8} m / s$ .

Formula for Binding energy

For helium- $4$ , binding energy is given by formula, $B E = (Z m_{H} + N m_{n} - M_{\frac{4}{1} x}) c^{2}$ .

Calculation for energy required to remove neutron

After removing $1$ neutron from helium-4, the mass of helium becomes:

$M_{He - 3} = 3.016029 u$ and number of neutron becomes. $N = 1$

The binding energy is given as:

$\begin{array}{l} B E = (M_{He - 3} + N m_{n} - M_{\frac{4}{2}} He) c^{2} \\ B E = [3.016029 u + (1) (1.008665 u) - 4.002603 u] {(3 \times 10^{8} m / s)}^{2} \end{array}$

The conversion factor may be used to express $c^{2}$ in $MeV / u$ .

$\begin{array}{l} B E = [3.016029 u + (1.008665 u) - 4.002603 u] (931.5 \frac{MeV}{u}) \\ B E = 20.6 MeV \end{array}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Show thatthe energy required to remove a neutron from helium- $4$ is . $20 .6 MeV$

Short Answer

Step by step solution

Given data

Formula for Binding energy

Calculation for energy required to remove neutron

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Conservation of Energy and Momentum

Dynamics

Circular Motion and Gravitation

Electricity

Solid State Physics

Torque and Rotational Motion

Study anywhere. Anytime. Across all devices.

Show thatthe energy required to remove a neutron from helium-4 is .20.6MeV

Short Answer

Step by step solution

Given data

Formula for Binding energy

Calculation for energy required to remove neutron

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Conservation of Energy and Momentum

Dynamics

Circular Motion and Gravitation

Electricity

Solid State Physics

Torque and Rotational Motion

Study anywhere. Anytime. Across all devices.

Show thatthe energy required to remove a neutron from helium- $4$ is . $20 .6 MeV$