Recent questions tagged accuracy-precision-and-errors-in-measurement

Find the value of $g$ (in $m\;s^{-2}$) up to approximate significant figures stating the uncertainty in the value of $g$, given the following information:

asked Jul 12, 2014 by balaji.thirumalai

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In the following experiment, find the value of the density in g cm$^{-3}$ up to the appropriate significant figures, stating the uncertainty in the value of the density.

asked Jul 12, 2014 by balaji.thirumalai

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The radius of sphere is measured to be $(2.1 \pm 0.5)$ cms. What is its surface area with error limits?

asked Jul 11, 2014 by balaji.thirumalai

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The length of string of a simple pendulum as measured by a meter scale was found to be $98.2 \;cm$ The diameter of the bob was measured by a vernier caliper and it was found to be $3.62\;cm$ The time for 10 oscillations was found to be $21.2\; s$ Suggest method to improve the accuracy of the result.

asked Jul 11, 2014 by meena.p

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The length of string of a simple pendulum as measured by a meter scale was found to be $98.2 \;cm$ The diameter of the bob was measured by a vernier caliper and it was found to be $3.62\;cm$ The time for 10 oscillations was found to be $21.2\; s$ . To get more accurate value of g , will more accurate measurement of bob will help ?

asked Jul 11, 2014 by meena.p

1 answer

The length of string of a simple pendulum as measured by a meter scale was found to be 98.2cm. The diameter of the bob was measured by a vernier caliper and it was found to be 3.62cm. The time for 10 oscillations was found to be 21.2 seconds. What is maximum error in the value of g?

asked Jul 11, 2014 by meena.p

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While measuring the volume of sphere an error of $1.2 \%$ is committed in the measurement of radius. What percentage error is introduced in the measurement of volume ?

asked Jul 11, 2014 by meena.p

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The length and breadth of a rectangular area are 25.2 cm and 16.8 cm respectively and have been measured to an accuracy of 0.1 cm. Find the percentage error in the area .

asked Jul 11, 2014 by meena.p

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The initial and final temperature of water in a container are observed as $15 \pm 0.5^{C}$ and $40 \pm 0.2 ^{\circ}$ what is the rise in temperature ?

asked Jul 11, 2014 by meena.p

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Two resistances $R_1=50 \pm 1\;ohm$ and $R_2=100 \pm 3\;ohm$ are connected in series. Assuming the errors to be limiting error , find the equivalent resistance with error.

asked Jul 11, 2014 by meena.p

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A physical quantity $P$ is related to four observables $a,b,c$ and $d$ as follows $P=\large\frac{\large a^3b^2}{(\sqrt {cd})}$. The percentage error in measuring $a,b,c,d$ are $1 \%,3 \%,4 \%$ and $2 \%$ respectively. What is percentage error in calculation of $P$

asked Mar 23, 2014 by balaji.thirumalai

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Resistance of metal is given by $R=\large\frac{V}{I}$. $V$ is potential difference, $I$ is current. In a circuit $V=(8 \pm 0.5)v$ and current is $I=(2 \pm 0.2)A$. what is value of resistance with percentage error?

asked Jun 19, 2013 by meena.p

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To find the value of $g$ using simple pendulum $T=2.00 sec,\;l=50cm.$ was measured. The maximum possible errors in $g$ is (Error in $T$=0.01 sec,$l$=0.1 cm)

asked Jun 19, 2013 by meena.p

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Heat generated in a circuit is given by $H=I^2Rt$, $I$ is current $R$ is resistance, $t$ is time. If percentage error in measuring $I$, $R$ and $t$ are $2 \%,1\%$ and $1\%$ respectively. what is the maximum error in measuring heat

asked Jun 19, 2013 by meena.p

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In an experiment the angles are measured using an instrument where $29$ divisions of main scale exactly coincide with $30$ division of vernier scale.If the smallest division in main scale is half a degree, then the least count of the instrument is

asked Jun 18, 2013 by meena.p

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The caesium clock are capable of measuring time with an accuracy of $1$ part in $10^{11}$. If two such clock run for $100$ years, find the difference in time shown by the clock

asked Jun 18, 2013 by meena.p

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When a copper sphere is heated maximum percentage change will be observed in

asked Jun 18, 2013 by meena.p

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The initial and final temperature of a liquid in a container are observe to be $76.3 \pm0.5 ^{\circ} c$ and $27.7 \pm 0.2 ^{\circ} c$. Find the fall in temperature.

asked Jun 17, 2013 by meena.p

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The value of Kinetic energy $K$ and potential energy $V$ are measured as follows $K=100.0 \pm 2.0\; I \quad V=200.0 \pm 1.0\; I$. What is the percentage error in measurement of mechanical energy ?

asked Jun 17, 2013 by meena.p

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Two resistances are expressed as $R_1=(4\pm0.5) \Omega$ and $R_2=(12 \pm 0.5) \Omega$. what is the net resistance when they are connected 1) series 2) in parallel, with percentage error ?

asked Jun 17, 2013 by meena.p

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