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Answer the following.
On the basis of Bohr’s theory, derive an expression for the radius of the orbit of an electron of…
(a)[2.5]
On the basis of Bohr’s theory, derive an expression for the radius of the $n^{\text{th}}$ orbit of an electron of hydrogen atom.
Given: Bohr's postulates: $mvr = \frac{nh}{2\pi}$ and $\frac{mv^2}{r} = \frac{1}{4\pi\varepsilon_0}\frac{e^2}{r^2}$
To show: $r_n = \frac{\varepsilon_0 n^2 h^2}{\pi m e^2}$
(b)[2.5]
Calculate the energy released in the following nuclear fusion reaction:
${}^2_1\text{H} + {}^2_1\text{H} \to {}^4_2\text{He} + \text{energy}$
Mass of ${}^2_1\text{H} = 2.014102\text{ u}$
Mass of ${}^4_2\text{He} = 4.002604\text{ u}$
Answer
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From ISC 2024 Physics Paper 1, question 19(i).