Question

A stone weight 2 kg in air and 15 kg in water the volume of stone is

Answer 1

Answer:

Explanation:

Correct Question :-

A stone weight 2 kg in air and 1.5 kg in water. Find the volume of the stone.

Answer :-

Given :-

Density of water = 10³ kg/m³

Weight in air = 2 kg wt

Weight in water = 1.5 kg wt

Loss of water of stone in water,

= (2 - 1.5) kg wt

= 0.5 kg wt

= Weight of water displaced

If V is the volume of stone, then V is also the volume of water displaced.

Mass of water displaced = V × 10³ Kg

We can write,

⇒ V × 10³ = 0.5

⇒ V = 0.5/10³

⇒ V = 0.5 × 10⁻³ m₃

Hence, the volume of the stone is 0.5 × 10⁻³ m₃.

Answer 2

V

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ACTUAL QUESTION :

A stone weight 2 kg in air and 1.5 kg in water the volume of stone is.........

Note that the weight of the stone in water cannot be more than it's weight in air.

So the scenario where, the stone weighs 2 kg in air and 15 kg in water is impossible.

So, the weight of the stone in water can most probably be 1.5 kg,

SOLUTION :

Let us assume that the volume of the stone is V.

The net change in mass is 0.5 kg.

Density Is mass per unit volume.

Volume = Mass / Density.

=> Volume of stone = ∆ M / Density of water

=> Volume Of Stone = 0.5 × 10^{ -3 } m ^ 3.