A student in the laboratory measures the thic | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Step $1$: Calculate the mean value of the readings.$X_{mean} = \frac{1.22 + 1.23 + 1.19 + 1.20}{4} = \frac{4.84}{4} = 1.21\,mm$.Step $2$: Calculat

Vedclass · Accepted Answer

$150$

Vedclass · Answer

(B) Step $1$: Calculate the mean value of the readings.$X_{mean} = \frac{1.22 + 1.23 + 1.19 + 1.20}{4} = \frac{4.84}{4} = 1.21\,mm$.Step $2$: Calculate the absolute errors for each reading.$|\Delta X_1| = |1.22 - 1.21| = 0.01\,mm$$|\Delta X_2| = |1.23 - 1.21| = 0.02\,mm$$|\Delta X_3| = |1.19 - 1.21| = 0.02\,mm$$|\Delta X_4| = |1.20 - 1.21| = 0.01\,mm$Step $3$: Calculate the mean absolute error.$\Delta X_{mean} = \frac{0.01 + 0.02 + 0.02 + 0.01}{4} = \frac{0.06}{4} = 0.015\,mm$.Step $4$: Calculate the percentage error.$	ext{Percentage error} = \left( \frac{\Delta X_{mean}}{X_{mean}} ight) 	imes 100\% = \left( \frac{0.015}{1.21} ight) 	imes 100\% = \frac{1.5}{1.21}\% = \frac{150}{121}\%$.Comparing this with $\frac{x}{121}\%$,we get $x = 150$.

$A$ student in the laboratory measures the thickness of a wire using a screw gauge. The readings are $1.22\,mm$,$1.23\,mm$,$1.19\,mm$,and $1.20\,mm$. The percentage error is $\frac{x}{121}\%$. The value of $x$ is ..............

Similar Questions

$A$ projectile is thrown with velocity $U = 20 \ m/s \pm 5\%$ at an angle $60^{\circ}.$ If the projectile falls back on the ground at the same level,then which of the following values in $m$ cannot be a possible answer for the range?

When two resistors of resistances $R_1=(200 \pm 2) \Omega$ and $R_2=(400 \pm 4) \Omega$ are connected in series,then the equivalent resistance of the combination is

Two resistances $60 \pm 0.36 \ \Omega$ and $30 \pm 0.09 \ \Omega$ are connected in parallel. The equivalent resistance is

If the length of rod $A$ is $3.25 \pm 0.01 \,cm$ and that of rod $B$ is $4.19 \pm 0.01 \,cm$,then the rod $B$ is longer than rod $A$ by:

The errors in the measurement of mass and length of a cube are $1.5 \%$ and $2.5 \%$ respectively. The percentage error in the measurement of the density of the cube is: (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module