Which of the following coul/px0;fw e hu fuu*e h-wad6w2+d be a unit of power?

  By approximately how many powers of ten is the 4z barz-w fy j:2bojq1c6d,,theight of a human larger than the height ofqjj 4r,fzw:,1acb6dyb-2 zto a grain of sand?

  What is the value of dk vg:04v;o rc$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in th4j)pmyqyv9,xd ) epp3e SI system?

  The volume of the Ea5x.dckf r5 v02p+. covvsny1a rth is approximately $10^{12} \mathrm{~km}^3$ 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 numbhh i.l8fntb.5 ,h(q8 .srcx+yv+mruier of heartbeats of an average adult human i .,c+r rmulhti8hhiysbf8q x n.. +v5(n a day.

  Which of the following contains -/mkasm (oh)oqvdd3pac2 l :*one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mw*zqycr6m o673 -ja (jfbp9xd ost decim(w*acbmxo7-6z ry3fp 6qdjj9al places?

  A car has a mass of 100*mu grv xmu,zb0 u5glq,0r5gm5 2fi4;vk5l tl0kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of thumgkiz4m*5;r bu qvm5t l2rg5fx ,05u v llg0,e mouse?

  A train travels $83.1 \pm 0.4$ meters in $10.138 \pm 0.06$ 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 cyix(8 y3f yq7r wi+d0shape of a cube with sides of $3.30 \mathrm{~m}$. Each side is measured with an uncertainty of $0.3 \%$. 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 square base of sidq, q 4qfpvhv32e $x$ 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 $7.2 \%$ and $h$ is measured to $3 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is ms8cj517c vz:u,ffjs/lg-:z1 bqozl 6 m8pwps easured using part of a metre rule that is graduated in millimetres, as shown belowq,1 6z7p - 8 ::ljf/jmsg oufc cszw1sbzlp8v5.

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 $5.6 \% $ uncertainty in $V$ and a $1.2 \%$ 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 d,gx5m7pys2t to be $25.6 \pm 0.5 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $6.9 \%$, 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 r;8 bvb(frro,toom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 differs3i oe4tn;.rc-yciy:k y u i,9:w8 wrrence ($V$) across a resistor is measured with a digital voltmeter to be $0.32 \; V$ . 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 measur3qh1, ounsutirjvbi-7o3 /6n ements of the same quantity which of the following can 1hn3s,iit6uuj7q-b 3n r o/ovbe reduced?

  A student measures a distance four times. The readings are 37.x) (nic q/;redg:7wtmkrgz4ff 4ho ;-8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of fetor) r4/mzdxk qw 7:i;;4ch-(fnggthis measurement?

  A student measures two lengths3(ww./ / b zowycdms7s as 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 mevh,gbm + -hmofhgd 7 d,m/e9*pasured 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 qu(h/yq64c3h1a nponrr: rk hat) jbq ,)xuhn+) antity Q varies is plotted. Theory states that h))/3o46n+hyb1 tx(p,q: r )naarkrjn uhqhcP should vary linearly with Q.

  The length of a pencil is measured using part okie n;;vp i(6z( zugix+6m f:zf a measuring tape as shown below.zgep6 ( uxzfm6 kz:i;n i;iv+(

What is the length of the pencil?

  The masses and weights of different objects are inde;yhe (uz bm3,ypendently measured. The graph is ayy,h b um;z(e3 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 plate are measured, and the diagram shq5 ji0x7elq,h ggj) m)s0 ij0vow,jg)m ih e 0jvi00l7qxj 5qs)gs 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 withi;mwer 7p-,bs6gd( cr percentage uncertainty of 7%. The rae7(s cb -rgdr6w ;pm,idius of the sphere is 5.0 ± 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 thatge.moh 8t lro/i2c. .-iy )tof:
$$
P=\frac{g h^2}{u^3}
$$
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 meaqcpuzdlb/4b h)da k5seu 5e60f1 .ci 3sure the acceleration due to gravity produces the following res15ipuc )q 0u. 3sde/kdfalzh6b4bc 5eults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rulroi6t hc5nh w8( (cgny1kp5l. er, such that each measurement has an uncertainty of 5 6lnc5.(1ihn 8wo(ptr hgykc$0.5 \mathrm{~cm} .$

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 massc/am )8chok6k 07 ssdz $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.2 \%$ 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. Whicre,i6kraet 9-q2 dojxl lr5a/ 5 .i8qrh of the following statements is correct /-r29 t.8raqqa ,5rolkjx6ieil re5d ?

  A student measures a length five times. A3sg23mcsfy48j p wh8bll 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 ± 0.2 cm long is cut from a longer piece that is 12.6 8um l+:.o annk± 0.6 cm long. How long is the remaining p8o l.aku :nn+miece 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 $\pm 4 \%$ 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 ± 0.4k7z9n6 ai31ei h8a omz N is applied to a mass of 2.0 ± 0.14 kg, causing it to accelerate. What is the percentage uncertainty of its acceleration? aei 1iz8 h69n z73moka (数值) % (do not include the percent sign in your result)

  The radius of a circle of wirec;rbvz r(8rtvt6v-v-ms9 m mbl-11 sp is measured to be 10.0 ± 0.3 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) %