Which of the following could be a unit of powe:yt(v-jft 7hrhm j,ko . ;t.sor?

  By approximately how many powers of ten is the height of a human p)37f j;b*39sy mcfis e jxvk/larger than the heicevmk3*sy )x 9 j;3jfsbi7/f pght of a grain of sand?

  What is the value of 3ub96ik8vksl; av k+l $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a 6alv4nmt:.fnle., 8qka/ wjwfundamental unit in the SI system?

  The volume of the Earth is approximat8q.a;9jo qz c+p oc/czely $10^{12} \mathrm{~km}^3$ 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 number of heartbeatq9, egy6no j4 y, vxe,lmc/lb/s of an average m,, l//xn9q4c jb eev 6lygo,yadult human in a day.

  Which of the following-fx yunl c +nlv0/ + pc9a13dexyx7/wg contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decim )syf4 n,n31aywzk(c fehp72 1yw+rztal 2kny,asr4( f+zhyw1zt7n3yc1 w )e pfplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is thl xza w )(88 9lqiwzzbkka6 tp729z:tfe order of magn2t wlfka(xlzb wki pz)8zq 9z7t8:9a6itude of the ratio between the mass of the car to that of the mouse?

  A train travels $48.0 \pm 0.8$ meters in $10.040 \pm 0.08$ 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 shapo6 + ni)tzr;sfe of a cube with sides of $3.01 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 squarh6+2s n 1rotqee base 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 $3.1 \%$ and $h$ is measured to $1 \%$, 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 rule ,cl ,v2lj)t,sgumh 0jthat is graduated in millimetres, as sh j ,)c,jvg m2l0thsu,lown 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 $5.7 \% $ uncertainty in $V$ and a $0.8 \%$ 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 tnegt:qf oeli :xgs)1; , omg/(o be $11.9 \pm 1.1 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $2.1 \%$, 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 areo)xp :(y 5hajgxlrh nk4+su-/ estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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 differxkwwxr cn 5bw5c; 6s --isr;m,ence ($V$) across a resistor is measured with a digital voltmeter to be $0.34 \; V$ . 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 quantity which of the ff+69e zs vt.o;jee djeh*.2hkollowing can b vfh.osj;ej+6e he.kdt92ez*e reduced?

  A student measures a distance four times. The readings are 37j 43kphk,6jdt0s1g ta .8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurem,hjj01a4tkk3 d g6 tpsent?

  A student measures two lengths av9zsn mkv69m r1wi.v+ s follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to be0jw* zzaxwfm1u /0j5k x-ux(e $(5.1 \pm 0.1)s$ 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 plotteu;8m+) l-p0xset od8d f 6bk+/yum+b bcmel5rd. Theory states that P should vary lineard5-em ;ts/+ ur ybck8 m0b x+udfbm)6ep8lol+ ly with Q.

  The length of a pencil is mxf4g m4e*qmk )easured using part of a measuring tape as shown below.mm *xq)4fkge4

What is the length of the pencil?

  The masses and weights of different osm3 dk6h, e c)+nzms.jbjects are independently measured. The graph is,+ e 6s3z)sc jndkhm.m 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 rectangular platemp i*e3dfp3sy5 fng -. are measured, and the diagram shows the measured values with their uncertaintiesffidp- emp g3.n *5sy3.

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 m2hmm uf+v6n70:k b jwtk5by q 12i3yaoeasured with percentage uncertainty of 5%. The radius of the af +bm1iy6bku:5y2h2t0qv 73omnk jw sphere is 3.1 ± 0.5 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thakv)ah, ( ytoy7t:
$$
P=\frac{g h^2}{u^3}
$$
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 accelerati 0 x6sbbs0tp6ion due to gravity produces the follot0s xp6 is0b6bwing 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 mea6r;/z.ok 5 uxknz/ahxsurement has an uncertain5ho.n/kuk z6xaz; rx/ty of $0.5 \mathrm{~cm} .$

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 9bh7 ah7abkh ,$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.5 \%$ 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 offs.ajuh;q7*b0j d*zj dg6zljs. et error. Which of the following statements iszdl *zgudj 67 ;hjqb.*as0jj. correct?

  A student measures a length five tim:jg; mt8+ m2h i *kx9snlu dn+xjq-u)kes. 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 ± 0.5 cm l t9 jdw+6z(ee rvoh40xong is cut from a longer piece that is 12.6 ± 0.5 cm long. How lo04wj+ xe vdehrz6( ot9ng 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 $\pm 6 \%$. 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 ± 0.6 N is applied to a mass of 2.0 ± 0.22 kg, causing rbcn *9;:(qy3l9 v qddzlhrn; it to accelerate. What is the pev dqrqcynh; (9*d 3 zlrl9b;:nrcentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to ewze761z , eyxbe 10.0 ± 0.7 cm.
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) %