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Parameters of Nucleus

The density o...

Question

The density of a nucleus can be said to be independent of its mass number.

A

True

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B

False

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Solution

The correct option is A True

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Q. Assertion :The density of nucleus is about

2.3 \times 10^{17} k g m^{- 3}

and all nucleus have approximately same density. Reason: The density of nucleus is independent of mass present in it.

Q. Statement A: Density of nucleus is independent of its mass number

Statement B: Beryllium is used as a moderator in nuclear reactors

R

of a nucleus of mass number

A

can be estimated by the formula

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

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

M_{prot.} ≅ M_{neut.} ≃ 1.67 \times 10^{- 27} kg

Q. (i) What characteristic property of nuclear force explains the constancy of binding energy per nucleon

(B E / A)

in the range of mass number

^{'} A^{'}

30 < A < 170

?
(ii) Show that the density of nucleus over a wide range of nuclei is constant-independent of mass number

A

Q. Assuming the radius of nucleus to be equal to

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

A

is its mass number, evaluate the density of nuclei and the number of nucleons per unit volume of the nucleus. Take mass of one nucleon

= 1.67 \times 10^{- 27} k g

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