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Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. Block P has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both P and Q were cast under the same conditions with all their surfaces enclosed within the mould. The solidification time of a casting is proportional to the square of the ratio of its volume to its surface area. The ratio of solidification time of the block P to that of the block Q is ______.
(Important - Enter only the numerical value in the answer)
Correct answer is '0.9016'. Can you explain this answer?
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Two cast iron blocks P and Q, each of 500 mm length, have the same cro...
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Two cast iron blocks P and Q, each of 500 mm length, have the same cro...
Width and 50 mm height, while block Q has a square cross-section.
To find the dimensions of block Q, we can start by finding the cross-sectional area of block P.
The cross-sectional area of a rectangle is given by the formula A = length * width. In this case, the length is 500 mm and the width is 100 mm, so the cross-sectional area of block P is 500 mm * 100 mm = 50,000 mm².
Since block P and block Q have the same cross-sectional area, the cross-sectional area of block Q is also 50,000 mm².
For a square, the cross-sectional area is given by the formula A = side length². Let's assume the side length of block Q is x mm.
Therefore, we have the equation x² = 50,000 mm².
To solve for x, we can take the square root of both sides of the equation:
x = √(50,000 mm²) = √(50,000) mm ≈ 223.61 mm.
Therefore, block Q has a square cross-section with side length of approximately 223.61 mm.
To find the dimensions of block Q, we can start by finding the cross-sectional area of block P.
The cross-sectional area of a rectangle is given by the formula A = length * width. In this case, the length is 500 mm and the width is 100 mm, so the cross-sectional area of block P is 500 mm * 100 mm = 50,000 mm².
Since block P and block Q have the same cross-sectional area, the cross-sectional area of block Q is also 50,000 mm².
For a square, the cross-sectional area is given by the formula A = side length². Let's assume the side length of block Q is x mm.
Therefore, we have the equation x² = 50,000 mm².
To solve for x, we can take the square root of both sides of the equation:
x = √(50,000 mm²) = √(50,000) mm ≈ 223.61 mm.
Therefore, block Q has a square cross-section with side length of approximately 223.61 mm.
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Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer?
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Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer?.
Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer?.
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Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer?, a detailed solution for Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer? has been provided alongside types of Two cast iron blocks P and Q, each of 500 mm length, have the same cross-sectional area. BlockP has rectangular cross-section of 100 mm × 200 mm. Block Q is of square cross-section. Both Pand Q were cast under the same conditions with all their surfaces enclosed within the mould. Thesolidification time of a casting is proportional to the square of the ratio of its volume to itssurface area. The ratio of solidification time of the block P to that of the block Q is ______.(Important - Enter only the numerical value in the answer)Correct answer is '0.9016'. Can you explain this answer? theory, EduRev gives you an
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