Assertion (A): The impact parameter for alpha | vedclass

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(A) The impact parameter $b$ is given by the formula: $b = \frac{Z e^2 \cot(	heta/2)}{4 \pi \varepsilon_0 (\frac{1}{2} m v^2)}$.For scattering at an

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Both $A$ and $R$ are true and $R$ is a correct explanation for $A$.

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(A) The impact parameter $b$ is given by the formula: $b = \frac{Z e^2 \cot(	heta/2)}{4 \pi \varepsilon_0 (\frac{1}{2} m v^2)}$.For scattering at an angle $	heta = 180^{\circ}$,we have $\cot(180^{\circ}/2) = \cot(90^{\circ}) = 0$.Substituting this into the formula,we get $b = 0$.$A$ zero impact parameter implies that the $\alpha$-particle is directed straight towards the centre of the nucleus,leading to a head-on collision and backscattering at $180^{\circ}$.Therefore,both $A$ and $R$ are true and $R$ is the correct explanation for $A$.

Assertion $(A)$: The impact parameter for $\alpha$-particles scattered by $180^{\circ}$ is zero.
Reason $(R)$: Zero impact parameter means that the $\alpha$-particles tend to hit the centre of the nucleus.

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Assertion $(A)$: The impact parameter for $\alpha$-particles scattered by $180^{\circ}$ is zero.Reason $(R)$: Zero impact parameter means that the $\alpha$-particles tend to hit the centre of the nucleus.