Physics System of Particles Rotational Motion Telangana & AP CET Previous Year Question MCQ (Single Correct)

A bullet of mass moves horizontally at a speed of is fired into a wooden block of mass suspended by a long string. The bullet crosses the block and emerges on the other side. If the centre of the mass of the block rises through a height of . The speed of the bullet as it emerges from the block is (take, )

A
B

C
D

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The correct answer is:
D

From the given situation,

Initial momentum of the bullet
Let final velocities of bullet and block are and respectively.

If the system rises up to height then by conservation of energy

By the conservation of linear momentum

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