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A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,
- a)2.47 cm of box is in the mercury
- b)3.81 cm of water is poured
- c)2.19 cm of box is in the mercury after pouring water
- d)3.53 cm of box is in the mercury after pouring water
Correct answer is option 'A,B,C'. Can you explain this answer?
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Most Upvoted Answer
A cubical box of copper 6 cm on each side is floating on mercury in a...
As the upthrust acting on the cube = Weight of cube
Upthrust = Weight of the mercury displaced
Hence, Vin ρHgg = Vcu ρcug
Vin ρHg = Vcu ρcu
Or,
or, 
, where Hin is the height of the box inside and HCu is the height of the box given
When water is poured in the beaker, then up-thrust required for the floatation of the box is provided by both mercury and water.
VCu ρCu = Vin' ρHg + (VCu - Vin') ρW
Or, HCu ρCu = Hin' ρHg + (HCu - Hin') ρW
Or,
6×5.6 = Hin'×13.6 + (6 - Hin' )×1
On solving,
We get Hin' = 2.19 cm
i.e. Now, 2.19 cm of the box will be inside mercury and the remaining portion of height 6 - 2.19 = 3.81 cm will be in water
So, height of water column poured is 3.81 cm.
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A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer?
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A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. 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 cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. 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 cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer?.
A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. 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 cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. 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 cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer?.
Solutions for A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cubical box of copper 6 cm on each side is floating on mercury in a beaker. The portion of the box is inside the mercury. Now, water is poured in to the beaker so that it just covers the box. Density of copper = 5.6 gm/cc, density of mercury = 13.6 gm/cc. Then,a)2.47 cm of box is in the mercuryb)3.81 cm of water is pouredc)2.19 cm of box is in the mercury after pouring waterd)3.53 cm of box is in the mercury after pouring waterCorrect answer is option 'A,B,C'. Can you explain this answer? tests, examples and also practice JEE tests.
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