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Standard XII

Physics

Mass Energy Equivalence

Six protons a...

Question

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

converted into the binding energy of the nucleus.

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given of in a radioactive decay process.

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converted into electrons.

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converted into energy to hold the electrons in orbit

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emitted as light.

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Solution

The correct option is A converted into the binding energy of the nucleus.
Nuclear binding energy accounts for a noticeable difference between the actual mass of an atom's nucleus and its expected mass based on the sum of the masses of its non-bound components. The release in energy accounts for the stability of the bound atom.
Quantitatively, mass defect= $Δ M = M_{p r o t o n s} + M_{n e u t r o n s} - M_{a t o m}$

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Similar questions

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}

Where

Δ E

is the energy liberated,

Δ m

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

M P

and

M n

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

B

and it contains

Z

protons and

N

neutrons, the correct relation for this nucleus if

C

is velocity of light is:

Q. Carbon has six protons and six neutrons in its nucleus. What is the atomic mass of carbon?

Q. The masses of neutron and proton are

1.0087 a . m . u .

and

1.0073 a . m . u .

respectively. If the neutrons and protons combine to form a helium nucleus (alpha particles) of mass

4.0015 a . m . u

, then the binding energy fo the helium nucleus will be: (

1 a . m . u . = 931 M e V

)

Q. The masses of neutron and proton are

1.0087

and

1.0073

amu respectively. If the neutrons and protons combine to form a Helium nucleus of mass

4.0015 a m u

, the binding energy of the Helium nucleus will be :

The masses of neutron and proton are 1.0087 amu and 1.0073 amu respectively. If the neutrons and protons combine to form a helium nucleus (alpha particles) of mass 4.0015 amu, the binding energy of the helium nucleus will be [1 amu= 931 MeV]

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