Errors
PHXI02:UNITS AND MEASUREMENTS

367524 A circular park has a radius of \((12.1\,m\, \pm \,0.1\,m)\). Find the area of the park with percentage error.

1 \(460{m^2} \pm 1.65\% \)
2 \(450{m^2} \pm 1.50\% \)
3 \(460{m^2} \pm 1.25\% \)
4 \(460{m^2} \pm 1.45\% \)
PHXI02:UNITS AND MEASUREMENTS

367525 A student measures the distance travelled in free fall of a body, initially at rest in a given time. He uses this data to estimate \(g\), the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are \({e_1}\) and \({e_2}\) respectively, the percentage error in the estimation of \(g\) is \(\left( {s = \frac{1}{2}g{t^2}} \right)\) :

1 \({e_2} - {e_1}\)
2 \({e_1} + 2{e_2}\)
3 \({e_1} + {e_2}\)
4 \({e_1} - 2{e_2}\)
PHXI02:UNITS AND MEASUREMENTS

367526 An object covers \((16.0 \pm 0.4)m\) distance in \((4.0 \pm 0.2)s\). Find out its speed.

1 \((4.0 \pm 0.2)\,m/s\)
2 \((4.0 \pm 0.3)\,m/s\)
3 \((4.0 \pm 0.5)\,m/s\)
4 \((4.0 \pm 0.1)\,m/s\)
PHXI02:UNITS AND MEASUREMENTS

367527 A metal wire has mass \((0.4 \pm 0.002)g\), radius
\((0.3 \pm 0.001)mm\) and length\((5 \pm 0.02)cm\).
The maximum possible percentage error in the measurement of density will nearly be:

1 \(1.3 \%\)
2 \(1.6 \%\)
3 \(1.4 \%\)
4 \(1.2 \%\)
PHXI02:UNITS AND MEASUREMENTS

367528 Assertion :
If errors in measurement of distance and time 3% and 2% respectively, error in calculation of velocity is 5%
Reason :
\({\rm{Velocity = }}\frac{{{\rm{Distance}}}}{{{\rm{Time}}}}\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367524 A circular park has a radius of \((12.1\,m\, \pm \,0.1\,m)\). Find the area of the park with percentage error.

1 \(460{m^2} \pm 1.65\% \)
2 \(450{m^2} \pm 1.50\% \)
3 \(460{m^2} \pm 1.25\% \)
4 \(460{m^2} \pm 1.45\% \)
PHXI02:UNITS AND MEASUREMENTS

367525 A student measures the distance travelled in free fall of a body, initially at rest in a given time. He uses this data to estimate \(g\), the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are \({e_1}\) and \({e_2}\) respectively, the percentage error in the estimation of \(g\) is \(\left( {s = \frac{1}{2}g{t^2}} \right)\) :

1 \({e_2} - {e_1}\)
2 \({e_1} + 2{e_2}\)
3 \({e_1} + {e_2}\)
4 \({e_1} - 2{e_2}\)
PHXI02:UNITS AND MEASUREMENTS

367526 An object covers \((16.0 \pm 0.4)m\) distance in \((4.0 \pm 0.2)s\). Find out its speed.

1 \((4.0 \pm 0.2)\,m/s\)
2 \((4.0 \pm 0.3)\,m/s\)
3 \((4.0 \pm 0.5)\,m/s\)
4 \((4.0 \pm 0.1)\,m/s\)
PHXI02:UNITS AND MEASUREMENTS

367527 A metal wire has mass \((0.4 \pm 0.002)g\), radius
\((0.3 \pm 0.001)mm\) and length\((5 \pm 0.02)cm\).
The maximum possible percentage error in the measurement of density will nearly be:

1 \(1.3 \%\)
2 \(1.6 \%\)
3 \(1.4 \%\)
4 \(1.2 \%\)
PHXI02:UNITS AND MEASUREMENTS

367528 Assertion :
If errors in measurement of distance and time 3% and 2% respectively, error in calculation of velocity is 5%
Reason :
\({\rm{Velocity = }}\frac{{{\rm{Distance}}}}{{{\rm{Time}}}}\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367524 A circular park has a radius of \((12.1\,m\, \pm \,0.1\,m)\). Find the area of the park with percentage error.

1 \(460{m^2} \pm 1.65\% \)
2 \(450{m^2} \pm 1.50\% \)
3 \(460{m^2} \pm 1.25\% \)
4 \(460{m^2} \pm 1.45\% \)
PHXI02:UNITS AND MEASUREMENTS

367525 A student measures the distance travelled in free fall of a body, initially at rest in a given time. He uses this data to estimate \(g\), the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are \({e_1}\) and \({e_2}\) respectively, the percentage error in the estimation of \(g\) is \(\left( {s = \frac{1}{2}g{t^2}} \right)\) :

1 \({e_2} - {e_1}\)
2 \({e_1} + 2{e_2}\)
3 \({e_1} + {e_2}\)
4 \({e_1} - 2{e_2}\)
PHXI02:UNITS AND MEASUREMENTS

367526 An object covers \((16.0 \pm 0.4)m\) distance in \((4.0 \pm 0.2)s\). Find out its speed.

1 \((4.0 \pm 0.2)\,m/s\)
2 \((4.0 \pm 0.3)\,m/s\)
3 \((4.0 \pm 0.5)\,m/s\)
4 \((4.0 \pm 0.1)\,m/s\)
PHXI02:UNITS AND MEASUREMENTS

367527 A metal wire has mass \((0.4 \pm 0.002)g\), radius
\((0.3 \pm 0.001)mm\) and length\((5 \pm 0.02)cm\).
The maximum possible percentage error in the measurement of density will nearly be:

1 \(1.3 \%\)
2 \(1.6 \%\)
3 \(1.4 \%\)
4 \(1.2 \%\)
PHXI02:UNITS AND MEASUREMENTS

367528 Assertion :
If errors in measurement of distance and time 3% and 2% respectively, error in calculation of velocity is 5%
Reason :
\({\rm{Velocity = }}\frac{{{\rm{Distance}}}}{{{\rm{Time}}}}\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367524 A circular park has a radius of \((12.1\,m\, \pm \,0.1\,m)\). Find the area of the park with percentage error.

1 \(460{m^2} \pm 1.65\% \)
2 \(450{m^2} \pm 1.50\% \)
3 \(460{m^2} \pm 1.25\% \)
4 \(460{m^2} \pm 1.45\% \)
PHXI02:UNITS AND MEASUREMENTS

367525 A student measures the distance travelled in free fall of a body, initially at rest in a given time. He uses this data to estimate \(g\), the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are \({e_1}\) and \({e_2}\) respectively, the percentage error in the estimation of \(g\) is \(\left( {s = \frac{1}{2}g{t^2}} \right)\) :

1 \({e_2} - {e_1}\)
2 \({e_1} + 2{e_2}\)
3 \({e_1} + {e_2}\)
4 \({e_1} - 2{e_2}\)
PHXI02:UNITS AND MEASUREMENTS

367526 An object covers \((16.0 \pm 0.4)m\) distance in \((4.0 \pm 0.2)s\). Find out its speed.

1 \((4.0 \pm 0.2)\,m/s\)
2 \((4.0 \pm 0.3)\,m/s\)
3 \((4.0 \pm 0.5)\,m/s\)
4 \((4.0 \pm 0.1)\,m/s\)
PHXI02:UNITS AND MEASUREMENTS

367527 A metal wire has mass \((0.4 \pm 0.002)g\), radius
\((0.3 \pm 0.001)mm\) and length\((5 \pm 0.02)cm\).
The maximum possible percentage error in the measurement of density will nearly be:

1 \(1.3 \%\)
2 \(1.6 \%\)
3 \(1.4 \%\)
4 \(1.2 \%\)
PHXI02:UNITS AND MEASUREMENTS

367528 Assertion :
If errors in measurement of distance and time 3% and 2% respectively, error in calculation of velocity is 5%
Reason :
\({\rm{Velocity = }}\frac{{{\rm{Distance}}}}{{{\rm{Time}}}}\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367524 A circular park has a radius of \((12.1\,m\, \pm \,0.1\,m)\). Find the area of the park with percentage error.

1 \(460{m^2} \pm 1.65\% \)
2 \(450{m^2} \pm 1.50\% \)
3 \(460{m^2} \pm 1.25\% \)
4 \(460{m^2} \pm 1.45\% \)
PHXI02:UNITS AND MEASUREMENTS

367525 A student measures the distance travelled in free fall of a body, initially at rest in a given time. He uses this data to estimate \(g\), the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are \({e_1}\) and \({e_2}\) respectively, the percentage error in the estimation of \(g\) is \(\left( {s = \frac{1}{2}g{t^2}} \right)\) :

1 \({e_2} - {e_1}\)
2 \({e_1} + 2{e_2}\)
3 \({e_1} + {e_2}\)
4 \({e_1} - 2{e_2}\)
PHXI02:UNITS AND MEASUREMENTS

367526 An object covers \((16.0 \pm 0.4)m\) distance in \((4.0 \pm 0.2)s\). Find out its speed.

1 \((4.0 \pm 0.2)\,m/s\)
2 \((4.0 \pm 0.3)\,m/s\)
3 \((4.0 \pm 0.5)\,m/s\)
4 \((4.0 \pm 0.1)\,m/s\)
PHXI02:UNITS AND MEASUREMENTS

367527 A metal wire has mass \((0.4 \pm 0.002)g\), radius
\((0.3 \pm 0.001)mm\) and length\((5 \pm 0.02)cm\).
The maximum possible percentage error in the measurement of density will nearly be:

1 \(1.3 \%\)
2 \(1.6 \%\)
3 \(1.4 \%\)
4 \(1.2 \%\)
PHXI02:UNITS AND MEASUREMENTS

367528 Assertion :
If errors in measurement of distance and time 3% and 2% respectively, error in calculation of velocity is 5%
Reason :
\({\rm{Velocity = }}\frac{{{\rm{Distance}}}}{{{\rm{Time}}}}\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.