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A block of material of volume 2 X 105m3 and ...

A block of material of volume 2 X 105m3 and density 2.5 x 103 kgm3 is suspended from a spring balance with half volume of the block immersed in water. What is the reading of the spring balance? (Density of water =1.0x103 kg m3 g = 10 ms2).

A.

0.10N

B.

0.25N

C.

0.30N

D.

0.40N

E.

0.50N

Correct answer is D

Weight of object = mg

= ρvg = 2.5 x 103 x 2 x 105 x 10 = 0.5N;

Upthrust = weight of displaced fluid = ρwatervg  

= 1.0×103×2×105×102 = 0.1N

∴Reading = 0.5 – 0.1 = 0.4N