Which of the following could be a unit of / o.sbxu2tpq x/3,qofpower?

  By approximately how many powers of ten is the height of a human lrq /ogqf v3 sbe4j/o5ot q4k +.fs n;c+z,jtn-arger than the height o,oo q-gv sbs n+zqj4k4+.jnqttoff3 /r/ e 5;cf a grain of sand?

  What is the value ofrz1t r2 xluk*3 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundame3 t:m6wh5ceaental unit in the SI system?

  The volume of the Earth is appr xdq*7 srzhitn 7z9n40oximately $10^{12} \mathrm{~km}^3$ 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 magnitude, the n:r dcxf u noc0iw6m)ca, :*io- aau8,iumber of heartbeats of an average adultco6ifc) i ,x*8aam iuw: :,0ndcau-or human in a day.

  Which of the following contains one fundamental u9buxjt)lji /o; f+gh7nit and one derived unit?

  If A=10.0 and B=0.50, which calculbpy4-: kh/fbg ation will give the answer with the most decimal placesf4bg k:-yhpb/ ?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Wha4u ://5c il8fqxxifl gt is the order of magnitude of the ratio beti:/x4 8g lf5xuilqf/cween the mass of the car to that of the mouse?

  A train travels $60.7 \pm 0.3$ meters in $11.829 \pm 0.06$ 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 shape of a cub1dov.m mj .gt.e with sides of $4.63 \mathrm{~m}$. Each side is measured with an uncertainty of $0.7 \%$. 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 baj rtuthn99n)87cia 8v se of side $x$ 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 $4.7 \%$ 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 r8 8v5rytv:nz he;vk84uh3boy0 ol:mvule that is graduated in millimetv:zruml8k;54 nv3 vb8:0ot8 e ovhyhyres, 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 $5.5 \% $ uncertainty in $V$ and a $3.3 \%$ 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 is measured to u; 7k.ua+g599l+s de xxhhoqcbe $28.7 \pm 1.2 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $2.6 \%$, 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 ofj nmqlio5q:6m)94hb k a room are 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 differeomx p yco4d q3k;o60z-nce ($V$) across a resistor is measured with a digital voltmeter to be $0.48 \; V$ . 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 measurements of the same quk90so8g/xnl8d)gq ctantity which of the following can be reduc)0 9gn8od8sqx lk/gt ced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm,z0dqzu/ v;tbie8; (dg 38.1 cm, 38.2 cm. What is the best esd 8;; z/eb0tu(dzvgiqtimate of this measurement?

  A student measures two lengths as follows:j;9eh*zdj p)lg:j: *vj *qygy $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and e 6p)2q dgvo q8s6vjwosl/+)n b, are measured 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 i 2yqk c1(kpj:ns plotted. Theory states that P should vary linepkkqj(c1:yn2 arly with Q.

  The length of a pencil is measured using part of a measuriqg:r+ok 3k6f mzh d5,mvbhq83ng tape as shown below.r 8dgfm6:b3v,mqh 53k + zkqho

What is the length of the pencil?

  The masses and weights of different objects are indepkb g; b t.t4+itb3al0e2g- icpendently measured. The graph is a plot 043b+-ib; bk t gel2ticp.a tgof 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 rectangular plate are measured, and the dirt p13 dogk3-vn xz+ 5ly0num/agram shows the measured values withxg3 np/zv mroy30u+d1-ln tk5 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 measur wg9t pzlp0)c*ed with percentage uncertainty of 4%. The radius of the sphere is 4.8 ± 0.5 cm. What is the percentage uncertainty in the mas) 0* ptpwczgl9s of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sh,of0f0axw + uzown 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 the acc4n(lm: n, 7pwaq/+cqlpb hh3ueleration due to gravity produces the following results:: b 3 mq/hpnulw+hc(pqnla,74
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ce u0nhv+-np5 wbfltsekc95 f+l::.mmeasurement has an uncertainty on+ek5-+ pmtv wcefc b.:slufnh5l90:f $0.5 \mathrm{~cm} .$

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 masr i9xgdj/5m/n s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.3 \%$ 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-negligib)vp dyoa9 ;l;j5z; uible zero offset error. Which of the following statements isd ai5 u;yl9;)ojvbp z; correct?

  A student measures a lev;27uhpwic g 9a a5an2ngth five times. All of the measurements lie between $18.8 \mathrm{~cm}$ 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 ± 0.3 cm long is cut from a longer piece that is 12.6 ± y,z(enx71 gps 0.6 c ep1,nzg7y(x sm long. How long is the remaining piece of string?

  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 $\pm 5 \%$. 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 ± 0.17 kg, c aa-hgt16 hlzv3ey 0vw+8 d9r4 0vpiftausing it to accelerate. What is the percentage uncertainty of its accelerat6vd3lhziw 0g9fpv1 +ey4-8 0h tava rtion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 0.3 c37x6exh( e;9mbhu0z4ph+jhw qesdoi, 42ko q m.
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) %