If error in measuring diameter of a circle is $4\%$, the error in circumference of the circle would be
If error in measuring diameter of a circle is $4\%$, the error in circumference of the circle would be
- A
$2$
- B
$8$
- C
$4$
- D
$1$
Similar Questions
A student determined Young's Modulus of elasticity using the formula $Y=\frac{M g L^{3}}{4 b d^{3} \delta} .$ The value of $g$ is taken to be $9.8 \,{m} / {s}^{2}$, without any significant error, his observation are as following.
Physical Quantity
Least count of the Equipment used for measurement
Observed value
Mass $({M})$
$1\; {g}$
$2\; {kg}$
Length of bar $(L)$
$1\; {mm}$
$1 \;{m}$
Breadth of bar $(b)$
$0.1\; {mm}$
$4\; {cm}$
Thickness of bar $(d)$
$0.01\; {mm}$
$0.4 \;{cm}$
Depression $(\delta)$
$0.01\; {mm}$
$5 \;{mm}$
Then the fractional error in the measurement of ${Y}$ is
A student determined Young's Modulus of elasticity using the formula $Y=\frac{M g L^{3}}{4 b d^{3} \delta} .$ The value of $g$ is taken to be $9.8 \,{m} / {s}^{2}$, without any significant error, his observation are as following.
| Physical Quantity | Least count of the Equipment used for measurement | Observed value |
| Mass $({M})$ | $1\; {g}$ | $2\; {kg}$ |
| Length of bar $(L)$ | $1\; {mm}$ | $1 \;{m}$ |
| Breadth of bar $(b)$ | $0.1\; {mm}$ | $4\; {cm}$ |
| Thickness of bar $(d)$ | $0.01\; {mm}$ | $0.4 \;{cm}$ |
| Depression $(\delta)$ | $0.01\; {mm}$ | $5 \;{mm}$ |
Then the fractional error in the measurement of ${Y}$ is
- [JEE MAIN 2021]
If error in measuring diameter of a circle is $4\%$, the error in radius of the circle would be
If error in measuring diameter of a circle is $4\%$, the error in radius of the circle would be
If $Z=\frac{A^{2} B^{3}}{C^{4}}$, then the relative error in $Z$ will be
If $Z=\frac{A^{2} B^{3}}{C^{4}}$, then the relative error in $Z$ will be
- [JEE MAIN 2022]
The least count of stop watch is $\frac{1}{5}\,second$. The time of $20$ oscillations of pendulum is measured to be $25\,seconds$. Then percentage error in the measurement of time will be.......... $\%$
The least count of stop watch is $\frac{1}{5}\,second$. The time of $20$ oscillations of pendulum is measured to be $25\,seconds$. Then percentage error in the measurement of time will be.......... $\%$
Calculate the mean $\%$ error in five observation
$80.0,80.5,81.0,81.5,82$
Calculate the mean $\%$ error in five observation
$80.0,80.5,81.0,81.5,82$
- [AIIMS 2019]