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The bob of the pendulum is given an initial velocity \( u_{0} \) in horizontal direction.
Column I
Column II
(Nature of \( A B \& \mathrm{u}_{0} \) ) (Maximum height attained by bob)
(A) \( \mathrm{AB} \rightarrow \) massless rod; \( \mathrm{u}_{0}=\sqrt{3 \mathrm{~g} \ell} \)
\( (\mathrm{P}) \) \( \frac{40}{27} \ell \)
(B) \( \mathrm{AB} \rightarrow \) massless rod; \( \mathrm{u}_{0}=\sqrt{4 \mathrm{~g} \ell} \)
(Q) \( \frac{3 \ell}{2} \)
(C) \( \mathrm{AB} \rightarrow \) massless string; \( \mathrm{u}_{0}=\sqrt{5 \mathrm{~g} \ell} \)
(R) \( 2 \ell \)
(D) \( \mathrm{AB} \rightarrow \) massless string; \( \mathrm{u}_{0}=\sqrt{3 g \ell} \)
(S) None
Select the correct option.
(1) \( \mathrm{A} \rightarrow \mathrm{Q}, \mathrm{B} \rightarrow \mathrm{R}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{P} \)
(2) \( \mathrm{A} \rightarrow \mathrm{P}, \mathrm{B} \rightarrow \mathrm{R}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{Q} \)
(3) \( \mathrm{A} \rightarrow \mathrm{S}, \mathrm{B} \rightarrow \mathrm{R}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{S} \)
(4) \( \mathrm{A} \rightarrow \mathrm{Q}, \mathrm{B} \rightarrow \mathrm{P}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{S} \)
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