In an experiment the values of two spring constants were measured as and If these springs are connected in parallel, then the percentage error in the equivalent spring constant is: [2026

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.
In an experiment the values of two spring constants were measured as $k_{1} = (10 \pm 0.2) N/m$ and $k_{2} = (20 \pm 0.3) N/m$ . If these springs are connected in parallel, then the percentage error in the equivalent spring constant is: [2026]

1 1.67%

2 2.67%

3 2.33%

4 1.33%

Ans.
(1)

For parallel combination of spring,

$K_{eq} = K_{1} + K_{2} = 30 N/m$

$Δ K_{eq} = Δ K_{1} + Δ K_{2} = 0.2 + 0.3 = 0.5 N/m$

$∴$ $% Error in K = \frac{0.5}{30} \times 100 = 1.67 %$

Want Us to Email you About Special Offers & Updates?