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.

The radius ( R ) of an atomic nucleus varies with the mass number ( A ) as approximately R = 1 . 2 × 10 - 15 A 1 / 3 , where R is in meters. From this, one can conclude that the density of the atomic nuclei is

inversely proportional to the cube of the mass number

proportional to the cube of the mass number

proportional to the cube root of the mass number

EASY

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Nucleus $X$ has mass number $192$ . A second nucleus $Y$ has radius half of $X$ , then find mass number of nucleus $Y$ .

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Important Questions on Atoms and Nuclei

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

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

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and sliver isotope

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Physics>Modern Physics>Atoms and Nuclei>Atomic 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>Atoms and Nuclei>Atomic Nucleus

The nuclear radius of

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

3.6

fermi. Find the nuclear radius of

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

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Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

If the radii of

{}_{30}^{64}{Zn} and {}_{13}^{27}{Al}

nuclei are

R_{1} and R_{2}

respectively, then

\frac{R_{1}}{R_{2}} =_____

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Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

Density of nuclear matter is nearly

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Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

The nuclear radius is of the order of

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Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

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

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Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

Two nuclei have atomic mass numbers

A_{1}

and

A_{2}

, such that

A_{1} > A_{2}

. Which of the two will have a higher nuclear density?

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Physics>Modern Physics>Atoms and Nuclei>Atomic 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:

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Physics>Modern Physics>Atoms and Nuclei>Atomic 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

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

Compare the radii of the nuclei of mass numbers

27

and

64

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>Atomic 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>Atoms and Nuclei>Atomic Nucleus

The mass numbers of nuclei of two elements

A

and

B

are respectively in the ratio

27 : 1

. If the radius of nucleus of

B

2.4 \times 10^{- 15} m

, calculate the radius of nucleus of

A

EASY

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

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)

EASY

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

R = R_{0} A^{\frac{1}{3}} (R_{0} = constant, A = mass no .)

. Taking the above relation, show that the nuclear density does not depend upon the mass number

A

EASY

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

The radius

(R)

of an atomic nucleus varies with the mass number

(A)

as approximately

R = 1.2 \times 10^{- 15} A^{1 / 3}

, where

R

is in meters. From this, one can conclude that the density of the atomic nuclei is

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Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

The density of nuclear matter as compared to the density of water is more by a factor of

EASY

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

Which of the following values is the correct order of nuclear density?

HARD

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

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}

EASY

Physics>Modern Physics>Atoms and Nuclei>Atomic Nucleus

The ratio of mass densities of nuclei of

^{40} C a

and

^{16} O

is close to:

Nucleus X has mass number 192. A second nucleus Y has radius half of X, then find mass number of nucleus Y.

Important Questions on Atoms and Nuclei

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Nucleus $X$ has mass number $192$ . A second nucleus $Y$ has radius half of $X$ , then find mass number of nucleus $Y$ .