139818
The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is
139819
Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be
139820
Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?
139821
If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is
1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Explanation:
D We know that , \(\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}} \quad \mathrm{~g}=\frac{4 \pi^{2} l}{\mathrm{~T}^{2}}\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}}=\frac{\Delta l}{l}+2\left|\frac{\Delta \mathrm{T}}{\mathrm{T}}\right|\) \(\frac{\Delta l}{l} \times 100=1 \% \text { and } \frac{\Delta \mathrm{T}}{\mathrm{T}} \times 100=3 \%\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}} \times 100=1 \%+2 \times 3 \%=1 \%+6 \%=7 \%\) Hence, the error in measurement of acceleration due to gravity is \(7 \%\).
AP EAMCET (Medical)-05.10.2021
Units and Measurements
139822
In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).
139818
The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is
139819
Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be
139820
Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?
139821
If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is
1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Explanation:
D We know that , \(\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}} \quad \mathrm{~g}=\frac{4 \pi^{2} l}{\mathrm{~T}^{2}}\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}}=\frac{\Delta l}{l}+2\left|\frac{\Delta \mathrm{T}}{\mathrm{T}}\right|\) \(\frac{\Delta l}{l} \times 100=1 \% \text { and } \frac{\Delta \mathrm{T}}{\mathrm{T}} \times 100=3 \%\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}} \times 100=1 \%+2 \times 3 \%=1 \%+6 \%=7 \%\) Hence, the error in measurement of acceleration due to gravity is \(7 \%\).
AP EAMCET (Medical)-05.10.2021
Units and Measurements
139822
In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).
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Units and Measurements
139818
The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is
139819
Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be
139820
Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?
139821
If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is
1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Explanation:
D We know that , \(\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}} \quad \mathrm{~g}=\frac{4 \pi^{2} l}{\mathrm{~T}^{2}}\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}}=\frac{\Delta l}{l}+2\left|\frac{\Delta \mathrm{T}}{\mathrm{T}}\right|\) \(\frac{\Delta l}{l} \times 100=1 \% \text { and } \frac{\Delta \mathrm{T}}{\mathrm{T}} \times 100=3 \%\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}} \times 100=1 \%+2 \times 3 \%=1 \%+6 \%=7 \%\) Hence, the error in measurement of acceleration due to gravity is \(7 \%\).
AP EAMCET (Medical)-05.10.2021
Units and Measurements
139822
In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).
139818
The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is
139819
Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be
139820
Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?
139821
If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is
1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Explanation:
D We know that , \(\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}} \quad \mathrm{~g}=\frac{4 \pi^{2} l}{\mathrm{~T}^{2}}\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}}=\frac{\Delta l}{l}+2\left|\frac{\Delta \mathrm{T}}{\mathrm{T}}\right|\) \(\frac{\Delta l}{l} \times 100=1 \% \text { and } \frac{\Delta \mathrm{T}}{\mathrm{T}} \times 100=3 \%\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}} \times 100=1 \%+2 \times 3 \%=1 \%+6 \%=7 \%\) Hence, the error in measurement of acceleration due to gravity is \(7 \%\).
AP EAMCET (Medical)-05.10.2021
Units and Measurements
139822
In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).
139818
The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is
139819
Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be
139820
Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?
139821
If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is
1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Explanation:
D We know that , \(\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}} \quad \mathrm{~g}=\frac{4 \pi^{2} l}{\mathrm{~T}^{2}}\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}}=\frac{\Delta l}{l}+2\left|\frac{\Delta \mathrm{T}}{\mathrm{T}}\right|\) \(\frac{\Delta l}{l} \times 100=1 \% \text { and } \frac{\Delta \mathrm{T}}{\mathrm{T}} \times 100=3 \%\) \(\frac{\Delta \mathrm{g}}{\mathrm{g}} \times 100=1 \%+2 \times 3 \%=1 \%+6 \%=7 \%\) Hence, the error in measurement of acceleration due to gravity is \(7 \%\).
AP EAMCET (Medical)-05.10.2021
Units and Measurements
139822
In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).