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A physical quantity Q is calculated according to the expression Q is equals to a ^3 b ^3 /c√d if percentage error in ABCD are 2% 1% 3% and 4% respectively what is the percentage error in q?
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A physical quantity Q is calculated according to the expression Q is e...
Percentage Error in Q
To calculate the percentage error in a physical quantity Q, we need to consider the percentage errors in each of the variables involved in the expression for Q. In this case, the expression for Q is given as:
Q = a^3 * b^3 / (c√d)
Given that the percentage errors in A, B, C, and D are 2%, 1%, 3%, and 4% respectively, we can determine the percentage error in Q by considering each variable separately.
Percentage Error in a^3
The percentage error in a^3 can be calculated using the formula:
Percentage Error in a^3 = 3 * Percentage Error in a
Since the percentage error in A is 2%, the percentage error in a^3 would be:
Percentage Error in a^3 = 3 * 2% = 6%
Percentage Error in b^3
Similarly, the percentage error in b^3 can be calculated using the same formula:
Percentage Error in b^3 = 3 * Percentage Error in b
Given that the percentage error in B is 1%, the percentage error in b^3 would be:
Percentage Error in b^3 = 3 * 1% = 3%
Percentage Error in c√d
The percentage error in c√d can be calculated using the formula:
Percentage Error in c√d = 0.5 * Percentage Error in c + 0.5 * Percentage Error in d
Given that the percentage errors in C and D are 3% and 4% respectively, the percentage error in c√d would be:
Percentage Error in c√d = 0.5 * 3% + 0.5 * 4% = 1.5% + 2% = 3.5%
Percentage Error in Q
Finally, we can calculate the percentage error in Q by summing up the individual percentage errors in a^3, b^3, and c√d:
Percentage Error in Q = Percentage Error in a^3 + Percentage Error in b^3 + Percentage Error in c√d
Percentage Error in Q = 6% + 3% + 3.5% = 12.5%
Therefore, the percentage error in Q is 12.5%.
To calculate the percentage error in a physical quantity Q, we need to consider the percentage errors in each of the variables involved in the expression for Q. In this case, the expression for Q is given as:
Q = a^3 * b^3 / (c√d)
Given that the percentage errors in A, B, C, and D are 2%, 1%, 3%, and 4% respectively, we can determine the percentage error in Q by considering each variable separately.
Percentage Error in a^3
The percentage error in a^3 can be calculated using the formula:
Percentage Error in a^3 = 3 * Percentage Error in a
Since the percentage error in A is 2%, the percentage error in a^3 would be:
Percentage Error in a^3 = 3 * 2% = 6%
Percentage Error in b^3
Similarly, the percentage error in b^3 can be calculated using the same formula:
Percentage Error in b^3 = 3 * Percentage Error in b
Given that the percentage error in B is 1%, the percentage error in b^3 would be:
Percentage Error in b^3 = 3 * 1% = 3%
Percentage Error in c√d
The percentage error in c√d can be calculated using the formula:
Percentage Error in c√d = 0.5 * Percentage Error in c + 0.5 * Percentage Error in d
Given that the percentage errors in C and D are 3% and 4% respectively, the percentage error in c√d would be:
Percentage Error in c√d = 0.5 * 3% + 0.5 * 4% = 1.5% + 2% = 3.5%
Percentage Error in Q
Finally, we can calculate the percentage error in Q by summing up the individual percentage errors in a^3, b^3, and c√d:
Percentage Error in Q = Percentage Error in a^3 + Percentage Error in b^3 + Percentage Error in c√d
Percentage Error in Q = 6% + 3% + 3.5% = 12.5%
Therefore, the percentage error in Q is 12.5%.
Community Answer
A physical quantity Q is calculated according to the expression Q is e...
Q=14%
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A physical quantity Q is calculated according to the expression Q is equals to a ^3 b ^3 /c√d if percentage error in ABCD are 2% 1% 3% and 4% respectively what is the percentage error in q?
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A physical quantity Q is calculated according to the expression Q is equals to a ^3 b ^3 /c√d if percentage error in ABCD are 2% 1% 3% and 4% respectively what is the percentage error in q? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A physical quantity Q is calculated according to the expression Q is equals to a ^3 b ^3 /c√d if percentage error in ABCD are 2% 1% 3% and 4% respectively what is the percentage error in q? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A physical quantity Q is calculated according to the expression Q is equals to a ^3 b ^3 /c√d if percentage error in ABCD are 2% 1% 3% and 4% respectively what is the percentage error in q?.
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