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प्रश्न
A jeweller claims that he makes ornaments of pure gold that has a relative density of 19.3. He sells a bangle weighing 25.25 gf to a person. The clever customer weighs the bangle when immersed in water and finds that it weighs 23.075 gf in water. With the help of suitable calculations, find out whether the ornament is made of pure gold or not.
[Hint : calculate R.D. of material of bangle which comes out to be 11.6].
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उत्तर
R.D. of pure gold = 19.3
Weight of bangle in air, W1 = 25.25 gf
Weight of bangle when completely immersed in water W2 = 23.075 gf
R.D. of bangle = `W_1/(W_1 - W_2) xx "R.D. of water"`
R.D. of bangle = `25.25/(25.25 - 23.075) xx 1`
R.D. of bangle = 11.6
The bangle is not made of pure gold as its density is not 19.3.
संबंधित प्रश्न
A body held completely immersed inside a liquid experiences two forces:
(i) F1, the force due to gravity and
(ii) F2, the buoyant force.
Draw a diagram showing the direction of these forces acting on the body and state the condition when the body will float or sink.
Explain the following :
As a ship in harbour is being unloaded, it slowly rises higher in water.
A piece of wax floats on brine. What fraction of its volume is immersed?
Density of wax = 0.95 g cm-3, Density of brine = 1.1 g cm-3.
A wooden block floats in water with two-third of its volume submerged.
(a) Calculate the density of wood.
(b) When the same block is placed in oil, three-quarters of its volume is immersed in oil. Calculate the density of oil.
A body of mass ‘m’ is floating in a liquid of density ‘p’
what is the apparent weight of body?
A body of mass ‘m’ is floating in a liquid of density ‘p’
what is the loss of weight of body?
A body weighs 300 gf in air and 280 gf when completely immersed in water. Calculate:
(i) The loss in weight of the body,
(ii) The upthrust on the body.
Write the SI units of Density
