The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice = 0.9 × 103 kg/m3)

Question

The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice = 0.9 × 103 kg/m3) (A) 2 m (B) 5 m (C) 9 m (D) 18 m

Tardigrade Admin · Accepted Answer

Given that density of ice= (9/10) × density of water, so only(1/10)th of ice will be outside the water. This means that 20 =× (1/10) =2 m of ice layer will be above the water surface. In other words, in the hole, the water level will rise up to 18 m of the ice layer. So minimum length of rope required = 2 m.

Q. The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice $= 0.9 \times 1 0^{3} k g / m^{3}$ )

$2$ m

$5$ m

$9$ m

$18$ m

Q. The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice =0.9×103kg/m3)

2 m

5 m

9 m

18 m

Q. The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice $= 0.9 \times 1 0^{3} k g / m^{3}$ )

$2$ m

$5$ m

$9$ m

$18$ m