Question
Explain the shortcomings of Rutherford's Atomic Model.###Write two shortcomings of Rutherford's Atomic Model.

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If the nucleons of a nucleus are separated from each other, the total mass is increased. Where does this mass come from?
Consider a straight piece of length x of a wire carrying a current i. Let P be a point on the perpendicular bisector of the piece, situated at a distance d from its middle point. Show that for d >> x, the magnetic field at P varies as $\frac{1}{\text{d}^2}$ whereas ford d << x, it varies as $\frac{1}{\text{d}}.$
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(i) How will you show that Lenz's law is a conclusion of energy conservation law? Explain with suitable examples.

(ii) Using the expression for Lorentz force applied on charge carriers of any conductor, obtain an expression for that induced emf which is induced in a conductor of length $l$ moving with a velocity $v$, perpendicular to any magnetic field $B$.
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  2. What could be the possible reason for MRI test to be so expensive?
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The work function of caesium metal is 2.14 eV. When light of frequency $6 \times 10^{14}$ Hz is incident on the metal surface photo-emission of electrons occurs. What is the
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(b) Stopping potential, and
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