Three identical blocks each of mass $m = 1 kg$ and volume $3 \times 10^{- 4} m^{3}$ are suspended by mass less strings from a support as shown. Underneath are three identical containers containing the same amount of water that are placed over the scales in Fig(1), the block is completely out of the water; in fig.(2), the block is completely submerged but not touching the beaker and in fig.(3), the block rests on the bottom of the beaker. The scale in Fig.(1) reads 14N.

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The reading of the scale in (3) is 24N

The reading of the scale in (2) is 17N.

The tension in the string in (2) is 10N.

The tension in the string in (2) is 7N.

answer is B, C, D.

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Detailed Solution

Density of the block

= \frac{1}{3 \times 10^{- 4}} {kg/m}^{2}

$= \frac{10}{3} \times 10^{3} {kg/m}^{3}$

Buoyant force $B = 3 \times 10^{- 4} \times 10^{3} \times 10$

$= 3 \times 10^{- 4} \times 10^{4}$ $= 3 N$

Reading of $B = 14 + 3 = 17 N$

Reading of $C = 14 + (10 - 3) + 3$

$= 24 N$

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