Which of the following could be a unit okd2l*lcl)t9o 6uhffwv3kbqd ) ly2k1 b :n0(u f power?

  By approximately how many powers of ten is the7hrxti +h+nt( height of a human larger than the (xh t+r7h it+nheight of a grain of sand?

  What is the value ofle 8yyiig:8:gg zw( 63nwai,u $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the . )2zfqk k 1tufjxa8.m+mg)7gv ro,d/c ) brhwSI system?

  The volume of the Earth is approximatel.,2(9x. 4 h5zimno bfgq fangwy $10^{12} \mathrm{~km}^3$ 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 ocus4o7y u+ zg+680fvam cwgb)f an average adult human in a ubzac7v gcw ) fm+u4s80+oyg6day.

  Which of the following contains one fundamental unit and onzp 3gbww11qv owd3 w888byk z4nw1p z:e derived unit?

  If A=10.0 and B=0.50, which calcul7 ,lr wm,zjag iq6/j0doa: *xyation will give the answer with the most decimal placxmdwoari ,ylj/z6gj, 0a:* 7 qes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What ism ;ka f:5wr nxaa2cev3 1c6dp/ the order of magnitude of the ratio between the mass of the car to that of thxv1:ca325p;f6ac/arwn m edke mouse?

  A train travels $55.1 \pm 0.6$ meters in $6.317 \pm 0.06$ 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 shape1 r 6ruxdnddr.3 oi8)f of a cube with sides of $4.79 \mathrm{~m}$. 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 squareonnw.b v,wf: syb ;-, ckql+i9 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 $8.7 \%$ 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 .h(n;e gjds kkdok 2jg6z.i0 1(a1oyuusing part of a metre rule that is graduated in millimetres, as shownd(1d6. n2s(yo1; i0jkzjhkg.o gkeau 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 $3.7 \% $ uncertainty in $V$ and a $2.2 \%$ 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 i:xac..kb sr.qn3 *v eys measured to be $23.8 \pm 0.9 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $2.5 \%$, 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 e dldf** ,/sajww8dt4wstimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differen b4r4qfas jf9iyoq0 8+vl6i;fce ($V$) across a resistor is measured with a digital voltmeter to be $0.25 \; V$ . 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 theb .hf 2o uf,/0sep516cm)bctjkw:xjh d bm45u same quantity which of the following can be reducwe6f0k ,x u4h5bb 2bm) thjjsmdc :5cpf1. ou/ed?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 94 4dhenjtdni v zc e6-fx cyhot;1+.838.1 cm, 38.2 cm. What is the best estimate of this measu 9cxtjtec. zh +- hy4;vdo1e64fi8dnnrement?

  A student measures two : s e/yb :tje;xgbuw9qo;c 57qlengths 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, l)ojo)hgld:8 5a v ;wzare 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 ib; ;:bdyyfy c40 yn, 3vjgrts2s plotted. Theory states that P should vary linearly ybyrn4:y2tvsy, b ; gcfj ;03dwith Q.

  The length of a pencil is measured using part of a measuring tapewk0m )x2 d2h/gxjm-rh as shown below.2rd0kxj)m2 mwxh/h- g

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Trg(k,eh05k v che graph is a plot of weight e,rh 5(k0kcvg 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 mex/c7mk n:p7obasured, and the diagram shows the measured values with th7/p7 :nkcomx beir 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 uncertainty ofh ksk)2 +;a-dapy 3rn:ie 1gzm 1%. The radius of the sphere is 2.2 ± 0.4 cm. What is the percentage uncertainty in the mas)mr:e3kaz;g+da- 1 n kyhp2 iss of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that2m,uoz-6 okph4djrey)pp ;:k :
$$
P=\frac{g h^2}{u^3}
$$
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 dueu7z-6rr;mf pa to gravity produces the following results zuf6;-armr7p:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an uncertain(hj6/pkogab:r(w 5 n atk jrb oapa:/gn6((h5wy 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 :+guydw e8tk f6 1ct cj(a:m)o$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.6 \%$ 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 ofgji-66is 5idy the following statements is correctijyg -i6di56s?

  A student measures a length five times. All of the measurements lie bpnla1v - 0o+c+k hmgq(etween $18.8 \mathrm{~cm}$ 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 cuq.1;m3hctjdq5 qvp . ot from a longer piece that is 12.6 ± 0.7 cm long. How long qd3hc5ov.p 1q. ;tmjqis 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 $\pm 8 \%$. 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 ± 0.1 N is applied to a mass of 2.0 ± 0 -;p02+an1vg fv dslsy.08 kg, causing it to accelerate. What is thes21yg0-ns; lpa+v dvf percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measure9gys7 m6gky ix, m8zqot2*5cz d to be 10.0 ± 1.4 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) %