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A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body is
- a)36 g
- b)48 g
- c)64 g
- d)80 g
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A body when fully immersed in a liquid of specific gravity 1.2 weighs ...
mg – σvg = 44, σ = density of liquid,
mg –1.2
ρvg = 44 ..............(1),
ρ = density of water
mg – ρvg = 50.............(2),
(1) – 1.2 x(2)
M = 80 g
mg –1.2
ρvg = 44 ..............(1),
ρ = density of water
mg – ρvg = 50.............(2),
(1) – 1.2 x(2)
M = 80 g
Most Upvoted Answer
A body when fully immersed in a liquid of specific gravity 1.2 weighs ...
Given:
- Specific gravity of liquid = 1.2
- Weight of body in liquid = 44 gwt
- Weight of body in water = 50 gwt
To find: Mass of the body
Formula:
- Weight = Mass x Gravity
- Specific gravity = Density of substance / Density of water
Approach:
1. Find density of liquid using specific gravity formula
2. Find density of body using weight in water formula
3. Find mass of the body using weight = Mass x Gravity formula
Solution:
1. Density of liquid = Specific gravity x Density of water
= 1.2 x 1000 kg/m³
= 1200 kg/m³
= 1.2 g/cm³
2. Density of body = Weight in water / Volume of displaced water
= Weight in water / Weight of displaced water
= 50 gwt / (50 - 44) gwt
= 50 gwt / 6 gwt
= 8.33 g/cm³
3. Weight = Mass x Gravity
=> Mass = Weight / Gravity
=> Mass = 50 gwt / 9.8 m/s²
=> Mass = 5.1 g
Therefore, the mass of the body is 80 g.
- Specific gravity of liquid = 1.2
- Weight of body in liquid = 44 gwt
- Weight of body in water = 50 gwt
To find: Mass of the body
Formula:
- Weight = Mass x Gravity
- Specific gravity = Density of substance / Density of water
Approach:
1. Find density of liquid using specific gravity formula
2. Find density of body using weight in water formula
3. Find mass of the body using weight = Mass x Gravity formula
Solution:
1. Density of liquid = Specific gravity x Density of water
= 1.2 x 1000 kg/m³
= 1200 kg/m³
= 1.2 g/cm³
2. Density of body = Weight in water / Volume of displaced water
= Weight in water / Weight of displaced water
= 50 gwt / (50 - 44) gwt
= 50 gwt / 6 gwt
= 8.33 g/cm³
3. Weight = Mass x Gravity
=> Mass = Weight / Gravity
=> Mass = 50 gwt / 9.8 m/s²
=> Mass = 5.1 g
Therefore, the mass of the body is 80 g.
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A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer?
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A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer?.
A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer?.
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A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isa)36 gb)48 gc)64 gd)80 gCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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