A physical quantity Q is related to four observables a, b, c, d as follows: , , then the percentage error in Q is , where x = __________. [2025]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A physical quantity Q is related to four observables a, b, c, d as follows:

$Q = \frac{a b^{4}}{c d} where, a = (60 \pm 3) P a; b = (20 \pm 0.1) m$ ,

$c = (40 \pm 0.2) {Nsm}^{- 2} and d = (50 \pm 0.1) m$ ,

then the percentage error in Q is $\frac{x}{1000}$ , where x = __________. [2025]

Ans.
(77)

$Q = \frac{a b^{4}}{c d}$

$\Rightarrow \frac{△ Q}{Q} = [\frac{△ a}{a} + 4 \frac{△ b}{b} + \frac{△ c}{c} + \frac{△ d}{d}]$

$\Rightarrow \frac{x}{1000} = [\frac{3}{60} + 4 (\frac{0.1}{20}) + (\frac{0.2}{40}) + \frac{0.1}{50}]$

$\Rightarrow x = 77$

Want Us to Email you About Special Offers & Updates?