Properties Of Solids And Liquids Question 276

Question: A ball whose density is 0.4 × 103 kg/m3 falls into water from a height of 9 cm . To what depth does the ball sink

Options:

A)9 cm

B)6 cm

C)4.5 cm

D)2.25 cm

Show Answer

Answer:

Correct Answer: B

Solution:

The velocity of ball before entering the water surfacev=2gh=2g×9

When ball enters into water, due to upthrust of water the velocity of ball decreases (or retarded)The retardation, a = apparent weightmass of ball

=V(ρσ)gVρ

=(ρσρ)g

=(0.410.4)×g

=32g If h be the depth upto which ball sink, then,0v2=2×(32g)×h

therefore 2g×9=3gh \ h = 6 cm.



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