139828 A student determined Young's modulus of elasticity using the formula \(Y=\frac{M_{g L}{ }^{3}}{4 b^{3} \delta}\). The value of \(g\) is taken to be \(9.8 \mathrm{~m} / \mathrm{s}^{2}\), without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | $1 \mathrm{~g}$ | $2 \mathrm{~kg}$ |
| Length of bar (L) | $1 \mathrm{~mm}$ | $1 \mathrm{~m}$ |
| Breadth of bar (b) | $0.1 \mathrm{~mm}$ | $4 \mathrm{~cm}$ |
| Thickness of bar (d) | $0.01 \mathrm{~mm}$ | $0.4 \mathrm{~cm}$ |
| Depression ( $\delta$ ) | $0.01 \mathrm{~mm}$ | $5 \mathrm{~mm}$ |
Then, the fractional error in the measurement of \(\mathbf{Y}\) is

139829 Time intervals measured by a clock give the following readings \(1.25 \mathrm{~s}, 1.24 \mathrm{~s}, 1.27 \mathrm{~s}, 1.21 \mathrm{~s}\) and \(1.28 \mathrm{~s}\). What is the percentage relative error of the observations?

139830 A physical quantity \(z\) depends on four observables a,b,c and \(d\), as \(z=\frac{a^{2} b^{2 / 3}}{\sqrt{c d^{3}}}\). The percentages of error in the measurement of a,b,c and \(d\) are \(2 \%, 1.5 \%, 4 \%\) and \(2.5 \%\) respectively. The percentage of error in \(z\) is

139831 If absolute error is \(0.05 \mathrm{~m}\) for a measured length of \(5 \mathrm{~m}\). What is the percentage error?

139828 A student determined Young's modulus of elasticity using the formula \(Y=\frac{M_{g L}{ }^{3}}{4 b^{3} \delta}\). The value of \(g\) is taken to be \(9.8 \mathrm{~m} / \mathrm{s}^{2}\), without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | $1 \mathrm{~g}$ | $2 \mathrm{~kg}$ |
| Length of bar (L) | $1 \mathrm{~mm}$ | $1 \mathrm{~m}$ |
| Breadth of bar (b) | $0.1 \mathrm{~mm}$ | $4 \mathrm{~cm}$ |
| Thickness of bar (d) | $0.01 \mathrm{~mm}$ | $0.4 \mathrm{~cm}$ |
| Depression ( $\delta$ ) | $0.01 \mathrm{~mm}$ | $5 \mathrm{~mm}$ |
Then, the fractional error in the measurement of \(\mathbf{Y}\) is

139829 Time intervals measured by a clock give the following readings \(1.25 \mathrm{~s}, 1.24 \mathrm{~s}, 1.27 \mathrm{~s}, 1.21 \mathrm{~s}\) and \(1.28 \mathrm{~s}\). What is the percentage relative error of the observations?

139830 A physical quantity \(z\) depends on four observables a,b,c and \(d\), as \(z=\frac{a^{2} b^{2 / 3}}{\sqrt{c d^{3}}}\). The percentages of error in the measurement of a,b,c and \(d\) are \(2 \%, 1.5 \%, 4 \%\) and \(2.5 \%\) respectively. The percentage of error in \(z\) is

139831 If absolute error is \(0.05 \mathrm{~m}\) for a measured length of \(5 \mathrm{~m}\). What is the percentage error?

139828 A student determined Young's modulus of elasticity using the formula \(Y=\frac{M_{g L}{ }^{3}}{4 b^{3} \delta}\). The value of \(g\) is taken to be \(9.8 \mathrm{~m} / \mathrm{s}^{2}\), without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | $1 \mathrm{~g}$ | $2 \mathrm{~kg}$ |
| Length of bar (L) | $1 \mathrm{~mm}$ | $1 \mathrm{~m}$ |
| Breadth of bar (b) | $0.1 \mathrm{~mm}$ | $4 \mathrm{~cm}$ |
| Thickness of bar (d) | $0.01 \mathrm{~mm}$ | $0.4 \mathrm{~cm}$ |
| Depression ( $\delta$ ) | $0.01 \mathrm{~mm}$ | $5 \mathrm{~mm}$ |
Then, the fractional error in the measurement of \(\mathbf{Y}\) is

139829 Time intervals measured by a clock give the following readings \(1.25 \mathrm{~s}, 1.24 \mathrm{~s}, 1.27 \mathrm{~s}, 1.21 \mathrm{~s}\) and \(1.28 \mathrm{~s}\). What is the percentage relative error of the observations?

139830 A physical quantity \(z\) depends on four observables a,b,c and \(d\), as \(z=\frac{a^{2} b^{2 / 3}}{\sqrt{c d^{3}}}\). The percentages of error in the measurement of a,b,c and \(d\) are \(2 \%, 1.5 \%, 4 \%\) and \(2.5 \%\) respectively. The percentage of error in \(z\) is

139831 If absolute error is \(0.05 \mathrm{~m}\) for a measured length of \(5 \mathrm{~m}\). What is the percentage error?

139828 A student determined Young's modulus of elasticity using the formula \(Y=\frac{M_{g L}{ }^{3}}{4 b^{3} \delta}\). The value of \(g\) is taken to be \(9.8 \mathrm{~m} / \mathrm{s}^{2}\), without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | $1 \mathrm{~g}$ | $2 \mathrm{~kg}$ |
| Length of bar (L) | $1 \mathrm{~mm}$ | $1 \mathrm{~m}$ |
| Breadth of bar (b) | $0.1 \mathrm{~mm}$ | $4 \mathrm{~cm}$ |
| Thickness of bar (d) | $0.01 \mathrm{~mm}$ | $0.4 \mathrm{~cm}$ |
| Depression ( $\delta$ ) | $0.01 \mathrm{~mm}$ | $5 \mathrm{~mm}$ |
Then, the fractional error in the measurement of \(\mathbf{Y}\) is

139829 Time intervals measured by a clock give the following readings \(1.25 \mathrm{~s}, 1.24 \mathrm{~s}, 1.27 \mathrm{~s}, 1.21 \mathrm{~s}\) and \(1.28 \mathrm{~s}\). What is the percentage relative error of the observations?

139830 A physical quantity \(z\) depends on four observables a,b,c and \(d\), as \(z=\frac{a^{2} b^{2 / 3}}{\sqrt{c d^{3}}}\). The percentages of error in the measurement of a,b,c and \(d\) are \(2 \%, 1.5 \%, 4 \%\) and \(2.5 \%\) respectively. The percentage of error in \(z\) is

139831 If absolute error is \(0.05 \mathrm{~m}\) for a measured length of \(5 \mathrm{~m}\). What is the percentage error?