Question

Select One Option Correct from the following : A particle P is sliding down a frictionless Q hemispherical bowl. It passes the point A at $\upsilon$. A bead Q of the same mass as P is ejected from A at t = 0 along the horizontal string AB, with the speed $\upsilon$. Friction between the bead and the string may be neglected. Let $t_P and t_Q$ be the respective times taken by P and Q to reach the point B. Then,
(A) $t_P\ \textless \ t_Q$ (B) $t_P=t_Q$(C) $t_P\ \textgreater \ t_Q$(D) $\frac{t_P}{t_Q} = \frac{length \ of \ arc \ ACB}{length \ of \ chord AB}$

Answer 1

a option is correct.
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Answer 2

Select One Option Correct from the following : A particle P is sliding down a frictionless Q hemispherical bowl. It passes the point A at $\upsilon$. A bead Q of the same mass as P is ejected from A at t = 0 along the horizontal string AB, with the speed $\upsilon$. Friction between the bead and the string may be neglected. Let $t_P and t_Q$ be the respective times taken by P and Q to reach the point B. Then,

✔️(A) $t_P\ \textless \ t_Q$ (B) $t_P=t_Q$(C) $t_P\ \textgreater \ t_Q$(D) $\frac{t_P}{t_Q} = \frac{length \ of \ arc \ ACB}{length \ of \ chord AB}$