Consider the following statements (A) and (B) and identify the correct answer given below :
Statement A: Positive values of packing fraction implies a large value of binding energy
Statement B: The difference between the mass of the nucleus and the mass number of the nucleus is called the packing fraction

A and B are correct

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A and B are false

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A is true, B is false

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A is false, B is true

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Solution

The correct option is B A and B are false
Packing fraction $= \frac{A c t u a l i s o t o p i c m a s s - m a s s n u m b e r}{M a s s n u m b e r}$

A negative packing fraction indicates stability of the nucleus thus a large Binding energy and vice versa.
So, we easily see that statement A and b are false.

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Similar questions

Q. Packing fraction, an informative method previously used to decide stability of a nucleus is given by :

Packingfraction=AZM−AA×104

, where

_{Z}^{A} M

is actual mass of nuclide in amu and

A

is mass number. Which statements are correct about packing fraction?

Q. Assertion :

Packingfraction=isotopicmass−massnumbermassnumber×104

Reason: Positive value of packing fraction implies for the unstability of nucleus.

If M is the mass of a nucleus and A its atomic mass, then the packing fraction is

Given, $M$ = mass of the nucleus, $A$ = atomic mass. What is the packing fraction?

State True or False:

The binding energy of a nucleus is the difference between the sum of the rest mass energies of each of its nucleons and the rest mass energy of the nucleus.

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The correct option is B A and B are falsePacking fraction =Actual isotopic mass−mass numberMass number A negative packing fraction indicates stability of the nucleus thus a large Binding energy and vice versa. So, we easily see that statement A and b are false.