Which of the following could be a unit ctbj 8 o*b 76kk,j(4f g6xpv(exki sf)of power?

  By approximately how many powers of ten is the height of a human larger than thec*m+wwy mh; 3e height ofme*3ww+ chm y; a grain of sand?

  What is the value of gq r+yp4k8.q x* ksj9u+ft-er $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental g if kwhb;2tjet9+: x*unit in the SI system?

  The volume of the Eartu-l .o;x w1x-0 jzm wopc+qo2zz,h5ec h 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 numbekobnk+m if8vvv9ts88qz 2,ml08 p9kqr of heartbeats of an average adult human in a dtsnm9v88kl80k 8k+mq ,o vb9zifv2pq ay.

  Which of the following co/i cghn.;3hzxb) scq 327q(al5jazay o 85 hfbntains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will la( gxl2/ w1 5axobjb:give the answer with the most decimal placo1:awx l/2jb(x 5gb ales?

  A car has a mass of 1000kg. A mouse has ac9r * /ifc0+krils6lq2f wao9 mass of 10g. What is the order of magnitude of the ratio between the m0fkl 6i*a l cwio+s2c/ qrfr99ass of the car to that of the mouse?

  A train travels $69.9 \pm 0.2$ meters in $3.917 \pm 0.05$ 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 4gs)v4 sde 6u5n:usepwith sides of $4.43 \mathrm{~m}$. Each side is measured with an uncertainty of $1.2 \%$. 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 squarjs4 hdnt53a 4fv,y36hd s9qj te 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 $6.3 \%$ 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 measured using part of a metre rule that is graduated x+e7lch n1 ,cjin millimetres, as shown b l71nh,j+excc elow.

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 $4.8 \% $ uncertainty in $V$ and a $2.8 \%$ 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 yz.u6 6 8jzawzw28z 1sgc,xiy to be $16.2 \pm 0.7 \; cm$. 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 $0.4 \%$ and the uncertainty in $l$ is $5.0 \%$, 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 if +m03lq.flj e7g-di5 dcz5d a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 :s)1wdxqu tc ;9 2pedbd89ku f($V$) across a resistor is measured with a digital voltmeter to be $0.57 \; V$ . 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 fo8t9qbvc98 c2ybxi3s 5 eyuv9zllowing can be3t 985ucexb2c9bv yi9 vys8 qz reduced?

  A student measures a distance four times. The readings are 3jtc f +hl, m-g+*-y8g evcr/df7.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best ec+ye r/,djh v+t-gg8fm*clf-stimate of this measurement?

  A student measures txe h0*n++bwm .yuay6 wwo 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 event 8 tyyflf(gl*7s k0+o73jlbe -zh ug,ns, 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 quantity Q varies is plott tsfu)f;an 87ry 6dsj7ed. Theory states that P should vary linearly wi7s)f fu;j7d 8sry6tn ath Q.

  The length of a pencil is measured using part of a measur.5 -/yx6gsm l ow(ym9 uy:w3vyoj dl7qing tape as shown belowwl/-7 m(s wuyyvol6j.d9: 3moyq 5yxg .

What is the length of the pencil?

  The masses and weights of differentky9hl; e t d0 30i bhoscpbm9+1jq..aa objects are independently measured. The graph is a plot of weight versus mae bl0.k0; oib9d3s + .mahchtq1 9jpyass 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, r+5wg;vyjggw e 3s8ji . qgp*8g 2zp:hand the diagram shows the measured values with jgvesj. 8r3zpg5gw iq g2y+*8;hwp g: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 t4)kg ,g j7biris measured with percentage uncertainty of 5%. The radius of the sphere is 1.5 ± 0.4 cm. What is the percentage uncertainty in tg ,b4i)t rgjk7he mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has *r1 -nx .spgcuf6(gqk shown 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 acceleration due k u/zb1w 9v,z,azp*zp,+bca yto gravity produces the following resuw,k1 +*/ua,c vp,z yzbb 9zzaplts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurm,.eqb 3mnzj /ement has an uncertainty of ,3mm/b zq. jne$0.5 \mathrm{~cm} .$

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 massnaiw i 54a 0y9f-h)bul $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ 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 the following stateq/i*jkop1bb tx /x..g ments is corre x .xjbpt1o */.qi/bkgct?

  A student measures a length five times. All of the measurements lie betwpzql zk3we9/ tg)vx*3een $18.8 \mathrm{~cm}$ 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 ± 0.1 cm lvst23b6op g:urdbt +, ml2t: fong is cut from a longer piece that is 12.6 ± 0.5 cm long. How long ov gp 63 udt:lf,s:bmrtb 2t2+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 $\pm 2 \%$ 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 ± 1.6 N is applied to a mass of 2.0 ± 0.11 kg,d i; onjv7xfs*d. vgx.jr*( p, causing it to accelerat ;i*vn 7sx .vjd( o.,jrpx*gdfe. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle ofoxgnq7; iu(j2 wire is measured to be 10.0 ± 1.5 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) %