LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2024
JEE MAIN 2025 Foundation Course
NEET 2024 Crash Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
185 views
in Physics by (40.9k points)
closed by
A physical quantity `Q` is calculated according to the expression
`Q=(A^(3)B^(3))/(CsqrtD)`
If percentage errors in `A, B, C, D` are 2%, 1%, 3% and 4% respectively. What is the percentage error in `Q`?
A. `""pm8%`
B. `""pm10%`
C. `""pm14%`
D. `""pm12%`

1 Answer

0 votes
by (56.8k points)
selected by
 
Best answer
Correct Answer - C
`Q=(A^(3)B^(3))/(Csqrt(D))`
`(DeltaQ)/(Q)=3((DeltaA)/(A))+3((DeltaB)/(B))+((DeltaC)/(C))+(1)/(2)((DeltaD)/(D))`
Given that, `(DeltaA)/(A)xx100=2,(DeltaB)/(B)xx100=1`
`(DeltaC)/(C)xx100=3,(DeltaD)/(D)xx100=4`
`therefore" "(DeltaQ)/(Q)xx100=(3xx2)+(3xx1)+(3)+(1)/(2)xx(4)`
`=pm14%`

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...