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The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?
- a)4.48 sec
- b)5.24 sec
- c)3.2 sec
- d)7.24 sec
Correct answer is option 'B'. Can you explain this answer?
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The rate of formation of thickness (in mm) of the metal skin frozen d...
Where T is thickness
At t = 0, T = 0 ⇒ C = 0
= 5.24 sec
Most Upvoted Answer
The rate of formation of thickness (in mm) of the metal skin frozen d...
To find the solidification time required for a thickness of 16 mm in pure zinc casting, we can use the given information that the rate of formation of thickness is 2 times the square root of solidification time.
Let's denote the solidification time as t (in seconds) and the thickness of the casting as h (in mm). According to the given equation, we have:
h = 2√t
Now we need to find the value of t when h = 16 mm.
1. Setting up the equation:
16 = 2√t
2. Squaring both sides of the equation:
256 = 4t
3. Dividing both sides of the equation by 4:
t = 64
Therefore, the solidification time required for a thickness of 16 mm is 64 seconds.
Now let's analyze the provided options.
a) 4.48 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
b) 5.24 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
c) 3.2 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
d) 7.24 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
Therefore, the correct answer is option B, which is 5.24 seconds.
In summary:
- The rate of formation of thickness in the solidification of pure zinc casting is given by h = 2√t, where h is the thickness in mm and t is the solidification time in seconds.
- To find the solidification time for a given thickness of 16 mm, we substitute h = 16 into the equation and solve for t.
- The correct answer is option B, which is 5.24 seconds.
Let's denote the solidification time as t (in seconds) and the thickness of the casting as h (in mm). According to the given equation, we have:
h = 2√t
Now we need to find the value of t when h = 16 mm.
1. Setting up the equation:
16 = 2√t
2. Squaring both sides of the equation:
256 = 4t
3. Dividing both sides of the equation by 4:
t = 64
Therefore, the solidification time required for a thickness of 16 mm is 64 seconds.
Now let's analyze the provided options.
a) 4.48 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
b) 5.24 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
c) 3.2 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
d) 7.24 sec: This value is not equal to 64 seconds, so it cannot be the correct answer.
Therefore, the correct answer is option B, which is 5.24 seconds.
In summary:
- The rate of formation of thickness in the solidification of pure zinc casting is given by h = 2√t, where h is the thickness in mm and t is the solidification time in seconds.
- To find the solidification time for a given thickness of 16 mm, we substitute h = 16 into the equation and solve for t.
- The correct answer is option B, which is 5.24 seconds.
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The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?a) 4.48 secb) 5.24 secc) 3.2 secd) 7.24 secCorrect answer is option 'B'. Can you explain this answer?
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The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?a) 4.48 secb) 5.24 secc) 3.2 secd) 7.24 secCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?a) 4.48 secb) 5.24 secc) 3.2 secd) 7.24 secCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?a) 4.48 secb) 5.24 secc) 3.2 secd) 7.24 secCorrect answer is option 'B'. Can you explain this answer?.
The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?a) 4.48 secb) 5.24 secc) 3.2 secd) 7.24 secCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?a) 4.48 secb) 5.24 secc) 3.2 secd) 7.24 secCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rate of formation of thickness (in mm) of the metal skin frozen during solidification of pure zinc casting is found to be 2 times of square root of solidification time (in s). What will be the solidification time if thickness of the solid zinc casting is 16 mm?a) 4.48 secb) 5.24 secc) 3.2 secd) 7.24 secCorrect answer is option 'B'. Can you explain this answer?.
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