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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 of density ρ is immersed in a liquid of density ρL. State the condition when the body will (i) float and (ii) sink in the liquid.
Define the term density.
How does the density ρs of a substance determine whether a solid piece of that substance will float or sink in a given liquid ρL?
A body floats in a liquid with a part of it submerged inside the liquid. Is the weight of floating body greater than, equal to or less than the upthrust?
Explain the following :
A balloon filled with hydrogen rises to a certain height and then stops rising further.
A solid body weighs 2.10 N. in air. Its relative density is 8.4. How much will the body weigh if placed
(1) in water,
(2) in liquid of relative density 1.2?
Select the correct option:
When a body is floating in a liquid:
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.
An iron nail sinks in the water while an iron ship floats on water. Explain the reason.
What can you say about the average density of a ship floating on water?
