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A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of v0 (see figure). When the box is half empty, someone tilts it at 45º so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of
                
  • a)
     v0
  • b)
     v0/2
  • c)
  • d)
     
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A cubical box of wine has a small spout located in one of the bottom c...
According to Torricelli's Theorem velocity of efflux i.e. the velocity with which the liquid flows out of a hole is equal to √2gh​ where h is the depth of the hole below the liquid surface.
Let’s say side of the cube is a, so we have 
vo​=√2ga​
When cubical box is half empty, height of wine surface above the spout is half of the diagonal of the cube's face, i.e. (√2​a)/2​=​a​/√2
Now the speed of the wine from the spout is v′=√2g(a​/√2​)​=vo/(2)1/4
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A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of v0(see figure). When the box is half empty, someone tilts it at 45º so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of a)v0b)v0/2c)d)Correct answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of v0(see figure). When the box is half empty, someone tilts it at 45º so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of a)v0b)v0/2c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of v0(see figure). When the box is half empty, someone tilts it at 45º so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of a)v0b)v0/2c)d)Correct answer is option 'D'. Can you explain this answer?.
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