Which of the following could be a unit of poc r; qgb( dabeb0i9psx:/i)(hwer?

  By approximately how many powersb4ip)7 bt+ zcis9dxv : of ten is the height of a human larger than the height of a grain of pt ibs+c)9bv74 ix:zdsand?

  What is the value of 6: of2*4agcx+hf cmmv$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamentd*xese8 ;6p dsal unit in the SI system?

  The volume of the Earth9 7vr kh,bav6k e1n;wv 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 ordenkit/)t8tu +qtw7 dah2wr+ q* r of magnitude, the number of heartbeats of an average adt* d) rq+ 8ti/h72utn+kawwqtult human in a day.

  Which of the following contain,iia 0vw,qve0s one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculatioc l guca65w.846adai wn will give the answer with the most decimal pwdc u lac5a i6.46ag8wlaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. 5ncjb,f2e 9q:yuw 1vmWhat is the order of magnitude of the ratio between the mass of the c2c:u jq vym,webnf195ar to that of the mouse?

  A train travels $44.0 \pm 0.7$ meters in $5.839 \pm 0.05$ 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 witdgcu,- hv f:6l7 vez/yh sides of $4.64 \mathrm{~m}$. Each side is measured with an uncertainty of $1.0 \%$. 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 na60)xx zqnmamr;,x-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 $9.9 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil fbe: ,gens;0zo+uos6 is measured using part of a metre rule that is graduated in mil:nz 0ouse6e;gbo s+,flimetres, as shown 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 $4.2 \% $ uncertainty in $V$ and a $0.8 \%$ 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 t gix,r e;m/apd,y,)nab iprt. (:d r(so be $25.4 \pm 0.9 \; cm$. 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 $3.4 \%$, 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 r6xbuax xi: r6fz+1hbvt /6l j;oom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differ 3yf4rns6.azoence ($V$) across a resistor is measured with a digital voltmeter to be $0.59 \; V$ . 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 measuremes0k 3z5*zac bvnts of the same quantity which of the following can b k5bc3*s0a vzze reduced?

  A student measures a distance four times. The reading+ ehl4b yy-rm6zk(c u4s are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is thb(cye 6mu lk yz44+r-he best estimate of this measurement?

  A student measures two lengths as fo- eo,(u7 bshy/ddka2dhj 2j2nllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, kimb.09ai i3kb ++( m jcdmg0gare 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 plotted. Theory states es(;+5xc/nwqj pu; yn. nejt*that P should vary linearly wiw ( 5p./tnnnq+y s;j;ej*ue cxth Q.

  The length of a pencil is measured using part of a measuring tape as shown belowjq-ws)4jz5 p / 5szslcjsz5zpc q4s-s)j w/l5.

What is the length of the pencil?

  The masses and weights of different objects are inde 1pu9/k sla;r,ni:t skpendently measured. The graph is a plot of weight versus mast ip/akr;s9:,n kl u1ss 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 me zhtik/t .nq(zc 6s(+wn 3z2osasured, and the diagram showikscntz26th(3q+ (zos.w/ n zs 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 with perfcb9hhwz8m- 8 , qqgd2centage uncertainty of 6%. The radius of the sphere is 4.1 ± 0.1 cm. What is the percentage uncertainty iqzhm2q8cfw 8h, 9 -gdbn the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has st,b6jv.xd vs7 hown 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 ,;s cnqrwvow r )bg,/a*.pw2w:rhw2facceleration due to gravity produces the following n,cf:a /,rgv2hwbo.;* wp sqwwr w2 r)results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 eachwo p/np) b4nrhu;4+fa d3 +nth measurement has an uncertainnpnt)h3u 4d+honar/4 pf+ ;w bty 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 deznto ( aeqknsv002ll7 o03z.:-wp x$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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. Which of the following stat/j a(pme)sypmf+9/ u lementa(p/ p9)luys+ mmf/ jes is correct?

  A student measures a length five times. All of the measurement knu1;cb1iwn /s 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 t;hhd.e8 zysh3 dxdr 87p 8m1pcm long is cut from a longer piece that is 12.6 ± 0.7 cm long. How long is the remaining piece of stri1 yd.s 73x8rhptm8zepdh;8 hdng?

  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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. 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 l0*aa/p2 qie iof 2.0 ± 0.17 kg, causing it to acceleratai*aiel 2q0p/ e. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.3 cm./( wuwum ,sig0ae. e0k
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) %