The nuclear radius of Al 13 27 is 3 . 6 fermi. Find the nuclear radius of Cu 29 64 .

Radius of Al is r Al = r ∘ A 1 3 = r ∘ 27 1 3 = 3 . 6 fermi, here A is atomic mass number corresponding to Al . For the radius of Cu is r Cu = r ∘ A 1 3 = r ∘ 64 1 3 . Now, r Cu r Al = 64 1 3 27 1 3 = 4 3 ⇒ r Cu = r Al × 4 3 = 4 . 8 fermi. Hence, the nuclear radius of Cu 29 64 is 4 . 8 fermi.

EASY

Earn 100

Find the energy equivalent of one atomic mass unit, first in Joule and then in MeV. Using this, express the mass defect of ${}_{8}^{16}O$ in $MeV / c^{2}$ .

Important Questions on Nuclei

EASY

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

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>Mass-Energy and Nuclear Binding Energy

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

EASY

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

The energy equivalent of

1 g

of a substance is

EASY

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

The mass number of an iodine nucleus and a polonium nucleus is

125

and

216

respectively. The ratio of radius of iodine nucleus to that of polonium nucleus is

MEDIUM

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

The energy equivalent of

0.5 g

of a substance is:

EASY

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

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

MEDIUM

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

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

MeV .

EASY

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

Ratio of density of nuclear matter to density of water is at least

(R_{0} = 1.2 \times 10^{- 15} m & m_{p} = m_{n} = 1.67 \times 10^{- 27} kg)

MEDIUM

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

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}

)

HARD

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

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}

MEDIUM

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

The nuclear radius of

{}_{13}^{27}{Al}

3.6

fermi. Find the nuclear radius of

{}_{29}^{64}{Cu}

EASY

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

Imagine that a reactor converts all the given mass into energy and that it operates at a power level of

10^{9} Watt

. The mass of the fuel consumed

per hour

, in the reactor, will be:
(velocity of light,

c

3 \times 10^{8} m s^{- 1}

)

EASY

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

Initial mass of ${}_{84}{Po}^{218}$ is $1$ gram. After what time $0.875$ gram of it will be disintegrated? $(T_{\frac{1}{2}} = 3 minutes)$

EASY

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

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>Mass-Energy and Nuclear Binding Energy

How is the nuclear radius related to the mass number? obtain approximately the ratio of nuclear radii of gold isotope

{}_{79}^{197}{Au}

and sliver isotope

{}_{47}^{107}{Ag}

EASY

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

The nuclear radius is of the order of

EASY

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

Write Einstein's mass-energy relation.

EASY

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

Density of nuclear matter is nearly

MEDIUM

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

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)

EASY

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

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?

Find the energy equivalent of one atomic mass unit, first in Joule and then in MeV. Using this, express the mass defect of O816 in MeV/c2.

Important Questions on Nuclei

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Find the energy equivalent of one atomic mass unit, first in Joule and then in MeV. Using this, express the mass defect of ${}_{8}^{16}O$ in $MeV / c^{2}$ .