Find the ratio of the weights, as measured by a spring balance, of a 1 kg block of iron and a 1 kg block of wood. Density of iron = 7800 kg m^-3, density of wood = 800 kg m^-3 and density of air = 1293 kg m^-3.

Question

Philoid · Accepted Answer

Given, Density of iron, ,

density of wood,

density of air

The objects can be thought of as fully immersed in air. Therefore, there will be a buoyant force working upwards.

Let mass of iron be and that of wood be . Let there volumes be and respectively.

The weight of iron block becomes, —————(1)

Similarly, weight of wooden block is —————(2)

Taking ratio of (1) and (2)

(ANS)

Find the ratio of the weights, as measured by a spring balance, of a 1 kg block of iron and a 1 kg block of wood. Density of iron = 7800 kg m-3, density of wood = 800 kg m-3 and density of air = 1293 kg m-3.