Which of the following could be a unit of po +v/swrw2 jo9f-o:po9fw(q9ws ldip nsg +71lwer?

  By approximately how many powers of ten is the height of a human larger than tg0:fv9vc zf8os uy lmsw+8+o/he height of a grc/0 u+szfo+:lv s 89fyw ovg8main of sand?

  What is the value of2t) 1er8tlv fp $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a f 4yz.dl2sa 0pbundamental unit in the SI system?

  The volume of the Earth is ap(dsbkddgo4wb h be3. 8a +-yc3proximately $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?

  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

  Estimate, to the nearest order of magn5 l(h mofoxcm; a7y:3titude, the number of heartbeats of an average adultcmyox3h(mtf 5 :7oa; l human in a day.

  Which of the following a lq2l6 g hqf092fz7jrcontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decy70 gmmzy ev8kx4g w97imal placesyy7 v zkwm 8m9gg04xe7?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the orojq p8x*),z ;z+iisd7 owx8d fder of magnitude of to,q*xiz8dd 8pz;o + s xjfw7)ihe ratio between the mass of the car to that of the mouse?

  A train travels $87.1 \pm 0.5$ meters in $10.816 \pm 0.06$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Leave your answer to two significant figures, without units and without the $\pm$ symbol.)

  A water tank is the ss)ko8 z xa+-zscn3)ln hape of a cube with sides of $3.37 \mathrm{~m}$. Each side is measured with an uncertainty of $0.8 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Give your answer without a unit and to 2 significant figures)

  A pyramid has a square base of st,y ,y 7+5.qm aazubvbide $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $8.6 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured using part of a metre ryaj* 9.syi7v gule that is graduated in millimet.igvays j9* 7yres, as shown below.

What is the length of the pencil?

  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $4.9 \% $ uncertainty in $V$ and a $1.7 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon iqs5ihs m6 -lf,lf) a/js measured to be $22.8 \pm 1.0 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (Remember to keep three significant figures and exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $1.0 \%$ and the uncertainty in $l$ is $4.8 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign and keep two significant figures)

  The lengths of the sides of a room are +t smj t,;0gtk;lo/m92enktos(zq i . estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (Give your answer in $\mathrm{m}^3$ to two significant figures, without a unit.)

  The potential differencrmoj3dn+oxo0p *5 6vje ($V$) across a resistor is measured with a digital voltmeter to be $0.33 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank and keep two significant figures.)

  By averaging three m+4c g52iomn)ee ap *m,kcjqv -easurements of the same quantity which of the following can be reducgc 4*e+q-e nc5ammij2pvk) ,oed?

  A student measures a distance four times. The readings are 37.8 cm, : (rl2spon8h9ds7 l8ej 9q qga37.9 cm, 38.1 cm, 38.2 cm. What ish 7s r dgoen92qqjl 9alp8(:8s the best estimate of this measurement?

  A student measures two lengths as fo: q73, vrpfxxsllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are moe, xi+md33 m6gk9jx neasured to be $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

  The variation of quantity P as quantity Q varies is plotted. Theory statjo), t e)ulrt6be sk31+vw6ybes that P should vae btj r))s1lv,+ue yt3ko6bw6ry linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shyv qa/,*alzd5;m1rbsh;1thnd lgz 13 own belowrgtd s *bzlza1 mh5/y1;q,l;dh3vn1a .

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The guw8;e u1jpqtx z: 6s8zraph isw ; sujt8x1ez8q:u6pz a plot of weight versus mass that includes error bars.

What do these experimental results suggest?

  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$

  The lengths of the sides of a rectang kds.sghf7.w z/o+,xgular plate are measured, and the diagram showh.sxgzg .k7w s/dfo,+s the measured values with their uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid sphere is measured with percentage uncertainty of 2%. Thez.z-xj; mr8ajfi f4-x4 kdwn1 6ucj 4j radius of the sphere is 5.5 ± 0.2 cm. What is the percentage uncertainty4 jkw-ff djin4z6x81.mjzau-xr4c ;j in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown:9lxqpmo6bg . -*v j 6e;gfcmp that:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

  An experiment used to measure t1 ioaeeb0 *.gkhe acceleration due to gravity produces the followingeia0.keg1 bo* results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

  A rectangle was drawn using a ruler, such that each /fy;ds0bxw8 r gca )*hmeasurement has an uncertainty *bs /d8ax w)f;h0 rgcyof $0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (Do not write units with the answer. Give your answer to 2 significant figures.)

  For an object of mass nixnqss4pk; 2-v ,n )mqnrdk k8,t+: q$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.8 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  An ammeter has a non-negligible zero offset error. Which of the following statep rf/gz;l;b j) .9bfpfments is correct?9 z.g)pp fl;jfr/f ;bb

  A student measures a length five times. All of the measurements lie f1zpp+ rn9lt 2between $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (Do not include the $\pm$ symbol nor the unit)

  A piece of string 9.5 ± 0.4 cm longl uthvn0ka9)xv7pwux;hx 5w ( 8 l0y4u is cut from a longer piece that is 12.6 ± 0.6 cm long. How long is the remaining piece of striy( luwna0 xl5uhhvx x7v)ku4p w8t0;9ng?

  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (Give your answer correct to two significant figures without the % sign.)

  A force of 10.0 ± 1.5 N is applied to a mass of 2.0 ± 0.24 kg, causing it j9+y wfgj xqd7e)ks-: to accelerate. What is the percentage uncertainty of its accele)gs-w j9jyf kxe+q:7d ration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 0.6 cm.r+/dx(k f *c 7v9 et5tybjyss,
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %