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  • A particle P slides along a hemispherical bowl without friction. It passes through point A at   <img alt="t=0" src="https://entrancecorner.oncodecogs.com/gif.latex?t%3D0" /

A particle P slides along a hemispherical bowl without friction. It passes through point A at   t=0. At this time, the horizontal component of its velocity is  v. A pearl Q of the same mass as P is ejected from A at  t=0  along the horizontal chord AB with a velocity  v. The friction between the bead and the string is negligible.

Option: 1

t_P<t_Q


Option: 2

t_P>t_Q


Option: 3

t_P=t_Q


Option: 4

None of these


Answers (1)

best_answer

The horizontal displacement of the particles (P) and the balls (Q) is equal. 

The bead Q moves along AB with a constant speed  vFor the P particle, the movement between AC is accelerated, while the movement between CB is slowed down. 

The horizontal component of its velocity can be greater than or equal to v.

And will not be less than v.

 

    

So 

     t_P<t_Q

Posted by

shivangi.bhatnagar

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