State Einstein's special theory of relativity and provide the mass-energy equivalence formula.
(N/A) Einstein's special theory of relativity is based on two fundamental postulates:
$1$. The laws of physics are the same in all inertial frames of reference.
$2$. The speed of light in a vacuum is constant for all observers,regardless of the motion of the light source or the observer.
As a consequence of this theory,Einstein proposed the mass-energy equivalence formula,which states that mass and energy are interchangeable. The formula is given by:
$E = mc^2$
Where:
$E$ is the energy equivalent of the mass,
$m$ is the mass of the object,
$c$ is the speed of light in a vacuum (approximately $3 \times 10^8 \ m/s$).
$1$. The laws of physics are the same in all inertial frames of reference.
$2$. The speed of light in a vacuum is constant for all observers,regardless of the motion of the light source or the observer.
As a consequence of this theory,Einstein proposed the mass-energy equivalence formula,which states that mass and energy are interchangeable. The formula is given by:
$E = mc^2$
Where:
$E$ is the energy equivalent of the mass,
$m$ is the mass of the object,
$c$ is the speed of light in a vacuum (approximately $3 \times 10^8 \ m/s$).
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Mass numbers of the elements $A, B, C$ and $D$ are $30, 60, 90$ and $120$ respectively. The specific binding energies of them are $5 \text{ MeV}, 8.5 \text{ MeV}, 8 \text{ MeV}$ and $7 \text{ MeV}$ respectively. In which of the following reaction$(s)$ is energy released?
$1. D \rightarrow 2B$
$2. C \rightarrow B + A$
$3. B \rightarrow 2A$
$1. D \rightarrow 2B$
$2. C \rightarrow B + A$
$3. B \rightarrow 2A$
MediumKCET 2012
View SolutionAssertion : The binding energy per nucleon,for nuclei with atomic mass number $A > 100$,decreases with $A$.
Reason : The nuclear forces are weak for heavier nuclei.
Reason : The nuclear forces are weak for heavier nuclei.
Nuclear binding energy is equivalent to
Easy
View Solution$A$ nucleus of mass $ 20 u $ emits a $ \gamma $ photon of energy $ 6 MeV $. If the emission is assumed to occur when the nucleus is free and at rest, then the nucleus will have a kinetic energy nearest to (take $ 1 u = 1.6 \times 10^{-27} kg $): (in $keV$)
DifficultKCET 2016
View SolutionWhich of the following statement$(s)$ is/are true in respect of nuclear binding energy?
$(i)$ The mass energy of a nucleus is larger than the total mass energy of its individual protons and neutrons.
(ii) If a nucleus could be separated into its nucleons, an energy equal to the binding energy would have to be transferred to the particles during the separating process.
(iii) The binding energy is a measure of how well the nucleons in a nucleus are held together.
(iv) The nuclear fission is somehow related to acquiring higher binding energy.
$(i)$ The mass energy of a nucleus is larger than the total mass energy of its individual protons and neutrons.
(ii) If a nucleus could be separated into its nucleons, an energy equal to the binding energy would have to be transferred to the particles during the separating process.
(iii) The binding energy is a measure of how well the nucleons in a nucleus are held together.
(iv) The nuclear fission is somehow related to acquiring higher binding energy.
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