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2. motion in straight line — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics2. motion in straight line1 Mark
MCQ
A bead is free to slide down a smooth wire tightly stretched between points $A$ and $B$ on a vertical circle. If the bead starts from rest at $A$, the highest point on the circle
  • A
    its velocity $v$ on arriving at $B$ is proportional to $cos \theta$
  • B
    time to arrive at $B$ is independent of $\theta$
  • C
    time to arrive at $B$ is proportional to $cos \theta$
  • ✓
    Both $(A)$ and $(B)$
✓

Answer

Correct option: D.
Both $(A)$ and $(B)$
d
$A B=2 R \cos \theta$

$v^{2}=u 6(2)=2 a s$ $v^{2}=2 g \cos \theta \times 2 R \cos \theta$

$v=2 \sqrt{R g} \cos \theta$

$v \propto \cos \theta$

$S=u t+\frac{1}{2} a t^{2}$

$2 R \cos \theta=g \cos \theta t^{2}$

$t=\sqrt{\frac{4 R}{g}} \Rightarrow t=2 \sqrt{\frac{R}{g}}$

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