Q.

Molten-wax of mass m drops on a block of mass M, which is oscillating on a frictionless table as shown. Select the CORRECT statements.

I) If the collision takes place at extreme position, amplitude does not change
II) If the collision takes place at mean position, amplitude decreases
III) If the collision takes place at mean position, time period increases
IV) If the collision takes place at extreme position, time period increases 
 

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a

All (I), (II), (III), (IV)

b

Only (I), (II)

c

Only (II), (III)

d

Only (I), (IV)

answer is D.

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Detailed Solution

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T=2πmeffectivek

If mass increases time period increases. If collision take place of extreme position then no energy loss take place hence amplitude remains same. If collision take place at mean position then due to inelastic collision energy loss take place & Amplitude decreases. 

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