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Discovery of Electrons

The mass of a...

Question

The mass of an atomic nucleus is less than the sum of the individual masses of the free constituent protons and neutrons

A

True

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B

False

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Solution

The correct option is A True

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Q. Six protons and six neutrons are brought together to form a carbon nucleus, but the mass of the carbon nucleus is less than the sum of the masses of the individual particles due to the mass defect, This deducted mass has been

Q. Nuclear binding energy is the energy released during the hypothetical formation of the nucleus by the condensation of individual nucleons. Thus, binding energy per nucleon =

\frac{Total binding energy}{Number of nucleons}

For example, the mass of hydrogen atom is equal to the sum of the masses of a proton and an electron. For other atoms, the atomic mass is less than the sum of the masses of protons, neutrons and electrons present. This difference in mass, termed as mass defect, is a measure of the binding energy of protons and neutrons in the nucleus. The mass-energy relationship postulated by Einstein is expressed as:

Δ E = Δ m c^{2}

Δ E

is the energy liberated,

Δ m

is the loss of mass, and c is the speed of light.

M P

M n

are masses of a proton and a neutron respectively. For a nucleus, its binding energy is

B

and it contains

Z

N

neutrons, the correct relation for this nucleus if

C

is velocity of light is:

Q. The mass number is the sum of number of protons and neutrons present in the nucleus of an atom.

Q. The mass of an atom is due to the mass of its nucleus and the nucleus of an atom contains protons and neutrons, together called as nucleons.

Q. Write the relation for binding energy (B.E) (in MeV) of a nucleus of mass

_{Z}^{A} M

, atomic number (Z) and mass number (A) in terms of the masses of its constituents - neutrons and protons.

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Discovery of Electrons

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