Which of the following could be n zlbd9(:(h eexke:f etl,1/ sh83dlp a unit of power?

  By approximately how many powers of ten is the height of a human larger than p.14- pr5rqj bhmk e4n*di7cr the height of a grapr1cd*4jmrn7 q p 5.b -ei4rhkin of sand?

  What is the value of1 vlrt -9cegmag0 *p2m $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in t844v7/r lw 2+jwruz9bxj zvrrhe SI system?

  The volume of the Earth is approximaaqkh 1sn 2m2,b b:bq9htely $10^{12} \mathrm{~km}^3$ 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 heartbeatflzl/ rbac o ma2)eus7 m-5 qmac/f+4,s of an averamuq7fb/4ml oa/ +za s mac-lcf 25er,)ge adult human in a day.

  Which of the following contains one fung. oat,u0v0p + uf.x:ju2(h,h mpzqrldamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will giv a :-g nfi ;jczi lty(fj/k9(6c9dk7sge the answer with the most decimalk;zc/9g jflyjn(-cdkitg7:i (f 6 9sa places?

  A car has a mass of 10(asp5:e c rfg*00kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the (5 e:p gars*fccar to that of the mouse?

  A train travels $73.6 \pm 0.2$ meters in $6.841 \pm 0.03$ 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 cube with sides of wjht2 xg6g/hj,a;r q-a8i7 ve$5.17 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 side 3(x.m :j7s hr-nqu dyon8m,jh j9nx-b$x$ 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 $9.0 \%$ 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 pa ,h z38++l8jhzfmclklrt of a metre rule that is graduated in millimetres, as shown belo+,f z+88hllmhjzkc3lw.

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 $4.4 \% $ uncertainty in $V$ and a $1.4 \%$ 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 measur/ vsb5t2+md (rhatcu;ed to be $12.6 \pm 0.8 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $3.4 \%$, 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 estimated - *o uonnaoptuy8tn18y) f 5/vas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 difference (gqxgq.1h: 6 :sgw+r-ife *zt q$V$) across a resistor is measured with a digital voltmeter to be $0.45 \; V$ . 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 quamdz fz6y7d n;/ntity which of the following can be red/n6zdz f y;7dmuced?

  A student measures a distance four d(,bhf/ u f/sytimes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estims/ ,h y/bud(ffate of this measurement?

  A student measures two8g61(ebuzlzst+ i ct84ma lmc-s t;kyu 2 f+a. lengths 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 measurmb w zkj2h v)3c0j+ 3zfa jws+7*iz5vred 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 Py* u ppfu6x/)e as quantity Q varies is plotted. Theory states that P should vp6fup/x) e*yuary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown bel0-/ k)1emd tbwn rf2hvowb v)dn -w12r/f mkh0te.

What is the length of the pencil?

  The masses and weights of difh2fj8e0pt2s(ge / 7(c1e2 kdrgx 3dtk b +fvwyferent objects are independently measured. The graph hk02tf v(wb/ep3+1j f (kx2tde7e2 sgrcy8g dis 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 rectangularm hp2 t2ak*.3wn (pdgw plate are measured, and the diagram shows the measured v3hgma 2pt k.(wn2w*dpalues 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 uncerta6)m8cz du.yc tb,n m8o .jnj q -w.i3w)ulu,jfinty of 4%. The radius of the sphere is 1.4 ± 0.1 cm. What is the per ,y3 8.jwtj)m nqjbcdon.l f-uz.u,6u)iw cm8centage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:5n x ;kq(2bwn)m:uxaf
$$
P=\frac{g h^2}{u^3}
$$
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 thui0/5hhd/ogz bltwz 5-ihq e 0w,))ume acceleration due to gravity produces the following results/ 0et zg u u5)hzw ,hhlqw0d/5io)bi-m:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurfth7ibo8o v; 1ement has an uncertainty o81; fiothvo7bf $0.5 \mathrm{~cm} .$

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 masxgnz):4 l(up xs $(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero offset error. Which of thp+s,btn ctsg 0*.es8je following statements is correc+tsgs 8tjebn.,*c s0pt?

  A student measures a length five times. All of the measurements lie betwe2t wpy vlo0cz,:; rp.wen $18.8 \mathrm{~cm}$ 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 long is cut from a longer pid o.5/kcg.l5cskx6px bj48xqs4 b3gqece that is 12.6 ± 0.5 cm long. How long is the remaining piece of st xxqsgjp.34 c8k. l bgc6sbx45qo/dk5 ring?

  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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 10 \%$. 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 ± 0.4 N is applied to a mass of 2i8wi -conhxze*-ac( 8.0 ± 0.23 kg, causing it to accelerate-c ic8x w eo*-8ahinz(. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle n04agft)zh2)vl7oos of wire is measured to be 10.0 ± 1.0 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) %