Please solve question 154?

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Answer 1 · 2018-04-07T07:31:15

The answer is $option (3)$ $"option (3)"$

$density = \frac{mass}{volume}$ $"density "="mass"/"volume"$

Therefore,

The volume of the first body is

$v_{1} = \frac{36}{9} = 4 cc$ $v_1=36/9=4 "cc"$

The volume of the second body is

$v_{2} = \frac{48}{d} cc$ $v_2=48/d "cc"$

For equilibrium, the net force is the same

$Net force = weight - weight of fluid displaced$ $"Net force" = "weight"- "weight of fluid displaced"$

$36 g - 4 \cdot 1 \cdot g = 48 \cdot g - \frac{48}{d} \cdot 1 \cdot g$ $36g-4*1*g=48*g-48/d*1*g$

$36 - 4 = 48 - \frac{48}{d}$ $36-4=48-48/d$

$\frac{48}{d} = 16$ $48/d=16$

$d = \frac{48}{16} = 3 g c m^{- 3}$ $d=48/16=3gcm^-3$

The answer is $option (3)$ $"option (3)"$