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.

Calculate the nuclear radii of Ba 8 140 and O 8 17 . Given R 0 = 1 . 5 fm .

Given, R 0 = 1 . 5 fm The mass number of B 8 140 a is A 1 = 140 The mass number of O 8 17 is A 2 = 17 We know that the radius is given as, R = R 0 A 1 3 , where A is the mass number. Therefore, the radius of Barium becomes, R 1 = R 0 ( A 1 ) 1 / 3 = R 0 ( 140 ) 1 / 3 = 1 . 5 × 5 . 2 = 7 . 8 fm Similarly, the radius of Oxygen becomes, R 2 = R 0 ( A 2 ) 1 / 3 = R 0 ( 17 ) 1 / 3 = 1 . 5 × 2 . 57 = 3 . 85 fm

Radius of a nucleus of mass number 16 is 3 × 10 15 m . What is the radius of a nucleus of mass number 128 .

We know that R = R 0 A 1 3 Its given : A 1 = 16 R 1 = 3 × 10 15 m A 2 = 128 Using the above equation: R 2 R 1 = A 2 A 1 1 / 3 = 128 16 1 / 3 = ( 8 ) 1 / 3 = 2 ⇒ R 2 = 2 R 1 = 6 × 10 - 15 m . Here, the symbols have their usual meaning.

Find nuclear mass density of U 92 238 . Given R 0 = 1 . 5 fm and mass of each nucleon = 1 . 67 × 10 - 27 kg . .

Given, R 0 = 1 . 5 fm Mass per nucleon, M = 1 . 67 × 10 - 27 kg The mass number, A = 238 Density = Mass Volume ⇒ d = A × M A × 4 3 π R 0 3 = 238 × 1.66 × 10 − 27 238 × 4 3 π × ( 1.5 × 10 − 15 ) 3 = 1 .18 × 10 17 kg / m 3

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Important Questions on Atoms

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

Write the names of the following :

A 15 mya primate that was ape-like.

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

The ratio of mass densities of nuclei of

^{40} C a

and

^{16} O

is close to:

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

Darwin's theory is based on

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

The brain capacities of which man were between 650-800 cc in course of human evolution?

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

Write the names of the following:

A 2 mya primate that lived in East African grasslands.

HARD

Physics>Modern Physics>Atoms>Early Atomic Models

According to the Darwinian theory of natural selection, the rate of appearance of new forms is linked to the life cycle or the life span of an organism. Explain with the help of an example.

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

The nuclear radius of

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

3.6

fermi. Find the nuclear radius of

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

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

Calculate the density of hydrogen nucleus in

SI

units. Given

R_{0} = 1.1 fm

and

m_{p} = 1.007825 amu

. Take,

1 amu = 1.66054 \times 10^{- 27} kg

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

A nucleus disintegrates into two nuclear parts having their velocities in the ratio

2 : 1

. The ratio of their nuclear radii will be,

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

Calculate the nuclear radii of

{}_{8}^{140}{Ba}

and

{}_{8}^{17}O

. Given

R_{0} = 1.5 fm .

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

The graph of $\ln (R / R_{0})$ versus $\ln A$ (R = radius of a nucleus and A = its mass number) is

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

Two nuclei have their mass numbers in the ratio $1 : 3$ . The ratio of their nuclear densities would be,

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

Radius of a nucleus of mass number

16

3 \times 10^{15} m .

What is the radius of a nucleus of mass number

128

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

A nucleus with

A = 235

splits into two nuclei whose mass numbers are in the ratio

2 : 1

. If

R_{0} = 1.4 fm

, find the radii of the new nuclei.

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

The stable nucleus that has a radius

{\frac{1}{3}}^{rd}

of that of

{Os}_{76}^{189}

is,

MEDIUM

Physics>Modern Physics>Atoms>Early Atomic Models

Find nuclear mass density of

{}_{92}^{238}U

. Given

R_{0} = 1.5 fm

and mass of each nucleon

= 1.67 \times 10^{- 27} kg .

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

Radius of

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

nucleus is

3

Fermi. The radius of

{}_{82}^{206}{Pb}

nucleus will be

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

The radius of ${}_{30}^{64}Z n$ is about (in fm).

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

The mass number of Helium and Sulphur are

4

and

32

, respectively. The radius of nucleus of Sulphur is how many times greater than the radius of Helium nucleus?

EASY

Physics>Modern Physics>Atoms>Early Atomic Models

The nucleus of an atom consists of

What significant discovery did Rakhal Das Banerji make in the Harappan civilization?

Important Questions on Atoms

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