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

examrobotsa's picture

Submitted by examrobotsa on

Q: 6 (NDA-I/2016)
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

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,11,13,7,5,11,1

keywords: 

{'density': [2, 0, 1, 3], 'mercury': [0, 0, 2, 2], 'weight': [0, 0, 1, 1], 'entire water': [0, 0, 0, 1], 'water': [65, 15, 80, 129], 'container': [1, 0, 2, 2]}

Option 1: X = Y

This option states that the weight of the water is equal to the weight of the mercury. However, this is not true. If the entire water is replaced by mercury, then the weight of the mercury will be greater than the weight of the water due to mercury`s higher density. Therefore, this option is incorrect.

Option 2: X = 13*6 Y

This option states that the weight of the water is 13 times 6 times the weight of the mercury. However, this equation does not accurately represent the relationship between the weights of the water and the mercury. Therefore, this option is also incorrect.

Option 3: Y = 13-6 X

This option correctly represents the relationship between the weights of the water and the mercury. The equation states that the weight of the mercury (Y) is equal to 13-6 times the weight of the water (X). Since the mercury has a higher density than water, its weight will be greater for the same volume. Therefore, option 3 is the correct answer.

Option 4: None of the above

Option 4 states that none of the given options are correct. However, as we have determined that option 3 is the correct answer,