A hydrogen ion and a singly ionised helium atom are accelerated from rest through the same potential difference. The ratio of their final speeds is close to:
1.
\(1:2\)
2.
\(10:7\)
3.
\(5:7\)
4.
\(2:1\)
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\(\sqrt {d_1}\) and \(\sqrt {d_2}\) are the impact parameters corresponding to scattering angles \(60^{\circ}\) and \(90^{\circ}\) respectively, when an \(\alpha\) particle is approaching a gold nucleus. For \(d_1 = xd_2\), the value of \(x\) will be:
1. \(2\)
2. \(3\)
3. \(4\)
4. \(5\)
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The magnetic moment of an electron \((e)\) revolving in an orbit around nucleus with an orbital angular momentum \(\vec{L}\) is given by:
1. \(\vec\mu_{L}=\frac{{e \vec {L}}}{2{m}} \)
2. \(\vec\mu_{L}=-\frac{{e \vec {L}}}{2 {m}} \)
3. \(\vec\mu_{L}=-\frac{{e \vec {L}}}{{m}} \)
4. \(\vec {{\mu}_{L}}=\frac{2 {e \vec {L}}}{{m}}\)
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