Which of the following cb fr ljycx5u3.g9, l,dould be a unit of power?

  By approximately how many l6(ufpa-wwoum41 o0gpowers of ten is the height of a human larger than the height of a grain of mao16 o04-wf(plugw usand?

  What is the value offqh 2lv7cr89jyn f .q3 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unitas 5 6,tcf ote0mil*,n in the SI system?

  The volume of the Earth is approxiq:kwj zpwx26z:j.f c/gb .+mgmately $10^{12} \mathrm{~km}^3$ 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 heartbeats of an at (0.ksn:hg w; az,j bet2;kmmverage a.zg;0 m:ba h k2(m,ttje;wnsk dult human in a day.

  Which of the following contains one fundamental unit and one derived s5ce7 tr 9 l)bzgpe)8,z vdxe9weo+m81oork0 unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the+vvnmd 820s1eo 7lfky most decimaek8 7o vlvmf n+ds21y0l places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Wrx hw j-6ot(ttq-5, hghat is the order of magnitude of the ratio between the ma6h- h,wr5t ttg-x (jqoss of the car to that of the mouse?

  A train travels $65.7 \pm 0.6$ meters in $9.784 \pm 0.08$ 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 shape of a53; d:+mkpegnaml3sq cube with sides of $4.66 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 bascgs87y5h ggt 8e 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 $3.5 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is me6: +yhcplu ol;asured using part of a metre rule that is graduated in millimetres, as p h ly;+cl:o6ushown 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 $6.5 \% $ uncertainty in $V$ and a $1.3 \%$ 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 bh/6i 4tj hnq )9jmhnb-uv:i 7fe $14.9 \pm 1.5 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 estimatedc;i6hrn-0sq+ c6 ov2qmtr +i yqn/z3s as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 difference (d *qs9,h9 mkvp$V$) across a resistor is measured with a digital voltmeter to be $0.50 \; V$ . 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 whkehd,6q.wz8c/ 9,sd/ rc:o y0radv rkich of the following can be reduced/rd9/ws,d,czkc0:yke8 6 rq dar.v oh ?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm 23jhe- n usc:fd.3eny3 0tvv82sqsdn, 38.1 cm, 38.2 cm. What isqn 3cnn: hdd32uv8-sy3e esj.tf 0s2v the best estimate of this measurement?

  A student measures two lengths as followse;p/ykm0y3jr8x h c *u: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two eve4nzlm;nb(1z 8d9 ihg lnts, a and 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 4 :km.xk qs6wajh:d2c quantity Q varies is plotted. Theory states that P :w.jq2x kd 6smah:4k cshould vary linearly with Q.

  The length of a pencil is measured using part of a measuring tap7wu8+ini u 2cie as shown below. i8n i+iu2wuc7

What is the length of the pencil?

  The masses and weights of different objects are independently measu *hy5m 9nfzlrd-1 b;ejred. The graph is a plot of weight v59 1d*rhm-nlfj ez;b yersus 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 diagr/w m rna*d/,sogx6cak b yx712am shows the measure a/7gxno war/*s,yk12c6dmb xd 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 uncertaintys+8(0xs ,5vnw ;mbmuy cvlck( of 6%. The radius of the sph ybs mcn;0 w+vkvxcu,sm58 (l(ere is 2.9 ± 0.2 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 thmc4cd . )49y nadhxbe5at:
$$
P=\frac{g h^2}{u^3}
$$
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 acceleration due to grjs/iz8 0*gv fg1uw*ncavity produces the following resug/ig 80vfn* zsj*1c uwlts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measuremenupj62xgu jx*dl f x6*/t has an uncertainty oj* ux/ uflx6p jx6d*g2f $0.5 \mathrm{~cm} .$

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 *kql79go to4d/kiju v9 1.ndf $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.9 \%$ 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. Wic(e,hn x;8zq oydo+t+ll+ 5u hich of the following statements is correct?;, hzoqd(lt 5x8u++n+yc oeli

  A student measures a length five times. All of 6t3rl7*qwu -u gtj3c 4(wk7euie 6mdpthe 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 hy(eqwhe ze+iuf .-2 6a longer piece that is 12.6 ± 0.6 cm long. How long is uyzw2.6-fe eqe+i hh( 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 ± 1.6 N is applied to a mass of 2.0 ± 0.18 qkz1-e :+xe 6y;t zyjokg, causing it to accelerate. What 1 t;yz6 eky +zeqjx-:ois the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wi42t7hea tf1 e94 qli(8ag ashgre is measured to be 10.0 ± 0.2 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) %