Consider the nuclei of Al 27 and Cu 64 . Which of the following statements is correct?

Cu 64 nucleus has greater volume but identical density with Al 27 nucleus.

Cu 64 nucleus has greater volume but lower density than Al 27 nucleus.

Cu 64 nucleus has greater volume and higher density than Al 27 nucleus.

Cu 64 and Al 27 nuclei have identical volumes and densities.

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The nuclear radius is given by $R = r_{0} A^{1 / 3},$ where $r_{0}$ is constant and A is the atomic mass number. Then, the nuclear mass density of $U^{238}$ is

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Important Questions on Nuclei

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

Two protons are kept at separation of

10 nm

. Let

F_{n}

and

F_{e}

be the nuclear force and the electromagnetic force between them

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

If radius of the

{}_{13}^{27}A l

nucleus is taken to be

R_{A l}

then the radius of

{}_{53}^{125}{T e}

nucleus is nearly

MEDIUM

Physics>Modern Physics>Nuclei>Size of the Nucleus

The energy equivalent of

0.5 g

of a substance is:

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

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>Size of the Nucleus

If radius of the

{}_{13}^{27} A ℓ

nucleus is taken to be

R_{A ℓ}

, then the radius of

_{53}^{125} T e

nucleus is:

MEDIUM

Physics>Modern Physics>Nuclei>Size of the Nucleus

In a process, certain amount of mass gets converted into energy. Let all the energy so converted be in the form of photons. If

700 \times 10^{12} Hz

is the mean frequency of the photons and if there are approximately

10^{30}

photons, what is the approximate mass that is converted into photons? (Assume

h = 6.6 \times 10^{- 34} J s, c = 3 \times 10^{8} m s^{- 1}

)

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

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

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

Consider the nuclei of ${}^{27}{Al}$ and ${}^{64}{Cu}$ . Which of the following statements is correct?

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

X

-rays are incident on a target metal atom having

30

neutrons. The ratio of the atomic radius of the target atom and

{}_{2}^{4}{He}

14^{(\frac{1}{3})}

. The atomic number of the target atom is

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

A particle of rest mass

m_{0}

is travelling, so that its total energy is twice its rest mass energy. It collides with another stationary particle of rest mass

m_{0}

to form a new particle. What is the rest mass of the new particle?

MEDIUM

Physics>Modern Physics>Nuclei>Size of the Nucleus

The energy equivalent to a substance of mass $1 g$ is

MEDIUM

Physics>Modern Physics>Nuclei>Size of the Nucleus

The radius

R

of a nucleus of mass number

A

can be estimated by the formula

R = (1.3 \times 10^{- 15}) A^{1 / 3} m

. It follows that the mass density of a nucleus is of the order of:

(M_{p r o t} ≅ M_{neut} ≃ 1.67 \times 10^{- 27} kg)

MEDIUM

Physics>Modern Physics>Nuclei>Size of the Nucleus

Find the energy equivalent of one atomic mass unit in Joules and in

MeV .

EASY

Physics>Modern Physics>Nuclei>Size of the Nucleus

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