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Question

# A wooden block in the form of a uniform cylinder floats with one-third length above the water surface. A small chip of this block is held at rest at the bottom of a container containing water to a height of 1m and is then released. The time in which it will rise to the surface of water is (g=10m/s2)

A
0.84s
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B
0.63s
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C
0.5s
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D
1s
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Solution

## The correct option is B 0.63sThe wooden block floats with one third length above the water surface. we have Vρwoodg=2V3ρwaterg⇒ρwood=23ρwaterAcceleration of the block in upward direction is given bya=g(ρwater−ρwoodρwood)⇒a=g2⇒1=12(g2)t2∵s=ut+12at2⇒t2=0.4⇒t=0.632s≈0.63s

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