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Answer the following questions: Calculate the minimum amount of energy which a gamma ray photon…

Physics20265 marksLong answer
Answer the following questions:
(iv)[2.0]
Calculate the minimum amount of energy which a gamma ray photon should possess in order to produce a proton and an anti-proton pair.
(v)[1.0]
Why is a nuclear fusion reaction also known as a thermonuclear reaction?
(vi)[1.0]
What is the physical significance of the fact that total energy of an orbiting electron is negative?
(vii)[1.0]
State any one limitation of Bohr's theory of hydrogen atom.

Answer

Answer (iv)

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The minimum energy of the gamma-ray photon must equal the rest-mass energy of the proton and antiproton pair: $E_{\min} = 2 m_{p} c^{2}$ Given $m_{p} = 1\cdot67 \times 10^{-27}\text{ kg}$ and $c = 3 \times 10^{8}\text{ m s}^{-1}$: $E_{\min} = 2 \times (1\cdot67 \times 10^{-27}\text{ kg}) \times (3 \times 10^{8}\text{ m s}^{-1})^{2}$ $E_{\min} = 3\cdot34 \times 10^{-27} \times 9 \times 10^{16}\text{ J} = 3\cdot006 \times 10^{-10}\text{ J} \approx 3\cdot01 \times 10^{-10}\text{ J}$ (or $\approx 1879\text{ MeV}$) Final answer: 3.01 \times 10^{-10} J

Final answer: 3.01 \times 10^{-10} J

Answer (v)

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Nuclear fusion requires extremely high temperatures (millions of kelvins) to provide the fusing nuclei with enough thermal kinetic energy to overcome their strong electrostatic Coulomb repulsion. Because high thermal energy is required to initiate and sustain the reaction, it is known as a thermonuclear reaction.

Answer (vi)

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The negative total energy signifies that the electron is bound to the nucleus by attractive electrostatic forces, forming a stable bound system. External energy must be supplied to liberate the electron from the atom.

Answer (vii)

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Bohr's theory is applicable only to hydrogen and single-electron (hydrogen-like) ions; it cannot explain the spectra of multi-electron atoms.
Nuclei

From ISC 2026 Physics Paper 1, question 19(ii).

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