Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
Q5 (NDA-I/2016) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

A container is first filled with water and then the entire water is replaced by mercury! Mercury has a density of 13-6 x 103 kg/m 3. If X is the weight of the water and Y is ’the weight of the mercury, then

Result
Your answer: —  ·  Correct: C
Explanation

The weight of a substance is directly proportional to its density when the volume remains constant. In this scenario, a container of fixed volume is first filled with water and then with mercury. The density of water is approximately 1000 kg/m³ (or 1 g/cm³), while the density of mercury is given as 13.6 x 10³ kg/m³. Since mass is the product of density and volume, and weight is mass multiplied by gravity, the ratio of the weights (Y for mercury and X for water) is equal to the ratio of their densities. Because mercury is 13.6 times denser than water, its weight Y will be 13.6 times the weight of the water X. Therefore, the relationship is expressed as Y = 13.6 X.

How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
100%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

IAS · 2007 · Q112 Relevance score: -1.12

Three identical vessels A, B and C are filled with water, mercury and kerosene respectively up to an equal height. The three vessels are provided with identical taps at the bottom of the vessels. If the three taps are opened simultaneously, then which vessel is emptied first?

NDA-II · 2009 · Q66 Relevance score: -2.23

Consider two hollow glass spheres, one containing water and the other containing mercury. Each liquid fills about one-tenth of the volume of the sphere. In zero gravity environment

IAS · 2001 · Q142 Relevance score: -3.39

Water is filled in a container in such a manner that its volume doubles after every five minutes. If takes 30 minutes for the container to be full, in how much time will it be one-fourth full ?

CDS-II · 2010 · Q31 Relevance score: -4.20

Which one of the following statements is correct ? .

CDS-I · 2025 · Q27 Relevance score: -4.29

A metallic sphere of mass 1 kg and volume 2 × 10-4 m3 is completely immersed in water. The buoyant force exerted by water on the sphere is : (Given : density of water = 1000 kg/m3, g = 10 m/s2)