MEDIUM

Earn 100

Nuclear forces are short range force

50% studentsanswered this correctly

Important Questions on Nuclei

HARD

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

The electrostatic energy of

Z

protons uniformly distributed throughout a spherical nucleus of radius

R

is given by,

E = \frac{3}{5} \frac{Z (Z - 1) e^{2}}{4 π ε_{0} R}

. The measured masses of the neutron,

{}_{1}^{1}H, {}_{7}^{15}N and {}_{8}^{15}O

are

1.008665 u

1.007825 u, 15.000109 u and 15.003065 u

respectively. Given that the radii of both the

{}_{7}^{15}N and {}_{8}^{15}O

nuclei are same,

1 u = 931.5 MeV c^{- 2}

(

c

is the speed of light) and

\frac{e^{2}}{(4 π ϵ_{0})} = 1.44 MeV fm

. Assuming that the difference between the binding energies of

{}_{7}^{15}N a n d {}_{8}^{15}O

is purely due to the electrostatic energy, the radius of either of the nuclei is

(1 fm = 10^{- 15} m)

MEDIUM

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

State four properties of nuclear force.

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

The decay of a proton to a neutron is not possible outside a nucleus, because

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

The binding energy per nucleon of

{}_{5} B^{10}

8.0 MeV

and that of

{}_{5} B^{11}

7.5 MeV .

The Energy required to remove a neutron from

{}_{5} B^{11}

is (mass of electron and proton are

9.11 \times 10^{- 31} kg

and

1.67 \times 10^{- 27} kg

)

MEDIUM

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Explain in brief, how do the positively charged proton reside unitedly within the nucleus.

MEDIUM

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Two deuterons undergo nuclear fusion to form a Helium nucleus. The energy released in this process is (given binding energy per nucleon for deuteron

= 1.1 MeV

and for helium

= 7.0 MeV

)

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Write any two characteristics of nuclear forces?

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

You are given that Mass of

{}_{3}^{7}{Li} = 7.0160 u,

Mass of

{}_{2}^{4}{He} = 4.0026 u

and Mass of

{}_{1}^{1}{He} = 1.0079 u

. When

20 g

{}_{3}^{7}{Li}

is converted into

_{2}^{4} He

by proton capture, the energy liberated, (in

kWh

), is: [Mass of nucleon

= 1 GeV / c^{2}

]

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Write down one feature of nuclei force.

MEDIUM

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Draw a graph between potential energy of a pair of nucleons and separation between them. Also write it main features.

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

If the binding energy of the electron in a hydrogen atom is

13.6 eV

, the energy required to remove the electron from the first excited state of

{Li}^{+ +}

is :

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Identify the correct statement(s) from among the following
(i) The constancy of the binding energy per nucleon in the range

30 < A < 170

is a consequence of the fact that the nuclear force is short ranged.
(ii) The nuclear force does not depend on the charge of nucleons.
(iii) The nuclear force is repulsive when distance between two nucleons is less than

0.8 fm

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Two protons are kept at a separation of

10 nm .

. Let

F_{n}

and

F_{e}

be the nuclear force and the electromagnetic force between them

HARD

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Consider the nuclear fission,

{Ne}^{20} \to 2 {He}^{4} + C^{12}

. Given that the binding energy/nucleon of

{Ne}^{20}, {He}^{4}

and

C^{12}

are

8.03 MeV, 7.86 MeV

, respectively. Identify the correct statement:

MEDIUM

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Find the Binding energy per nucleon for

{}_{50}^{120}{Sn}

. Mass of proton

m_{p} = 1.00783 u

, mass of neutron

m_{n} = 1.00867 u

and mass of tin nucleus

m_{Sn} = 119.902199 u

. (take

1 u = 931 MeV

)

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

What is the binding energy of ${}_{14}^{29}S i$ whose atomic mass is $28.976495 u$

Mass of proton $= 1.007276 u$

Mass of neutron $= 1.008664 u$

(Neglect the electron mass) (Assume $1 u = 931.5 MeV$ )

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

The energy required to break one bond in DNA is

10^{- 20} J

. This value in

eV

is nearly

MEDIUM

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

What is nuclear fusion? Why is the nuclear fusion possible only at a very high temperature and very high pressure?

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Which graph in the following diagram correctly represents the potential energy of a pair of nucleons as a function of their separation?

EASY

Physics>Modern Physics>Nuclei>Mass-Energy and Nuclear Binding Energy

Match the following entries related to fundamental forces and their manifestations

(a)	Nuclear force	(i)	Electromagnetic interaction
(b)	Force between sodium and chlorine ions in sodium chloride	(ii)	Gravitational interaction
(c)	Energy from the sun	(iii)	Strong interaction
(d)	Oscillations of a simple pendulum	(iv)	Weak interaction

The correct answer is

Nuclear forces are short range force

Important Questions on Nuclei

Learn and Prepare for any exam you want !