Class 11 Exam  >  Class 11 Questions  >  A physical quantity Q is calculated according... Start Learning for Free
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?
Most Upvoted Answer
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%.
Community Answer
A physical quantity Q is calculated according to the expression Q is e...
Q=14%
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Top Courses for Class 11

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev