Which of the following could be a unitwd 0fu3iy -0wzgae,0-:f z9;jz4/wp igosoiu of power?

  By approximately how many power6 ga:qaz 1e/svl.ridn ;3;+ kp-i ea k(0eblnss of ten is the height of a human larger than the height of a grain of sand? sg.kea eqbnlsan+lp;- 6 rz(1ad0/3e v; i:ki

  What is the value of tg;nqvu5+ *puk ug8-ek9(ybt $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system246 w.cz( akk prid-2cd 4riql?

  The volume of the Earth is approximately /(s3nf97 2cyfocn60bjvp sl 3pjs:sf $10^{12} \mathrm{~km}^3$ 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 p-)vl7hq*4ez upf -aa bgf3c1+zk9p wnumber of heartbeats of an average adult h 4 lfu-*)phc9-v 1zaeqzkfpb+7 wag p3uman in a day.

  Which of the following contains one fundamental unit and one dj+d u7g ax 3q3)vkvd.kerived unit?

  If A=10.0 and B=0.50, which /p/xbjmbl,u :gh c+r/ vc1 zdtu 036pacalculation will give the answer with the most decimal pl+6 l dcg3z /, x ujha/tcp0/u:1rbpvmbaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What njxbt o6l eq*;gf8 (c8is the order of magnitude of the ratio between the mass of the car to that of the moqb*tlnfj g6( ce8o x;8use?

  A train travels $49.4 \pm 0.4$ meters in $8.641 \pm 0.04$ 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 cuh6hel. jr b t6(gygg;0be with sides of $2.76 \mathrm{~m}$. 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 basnttsk;5b 5 q9;a i0cene 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 $5 \%$, 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 4do-affzt9 8+ldji)i f+ )7 ay(lul pqthat is graduated in millimetres, as shownftlldff (i)dqla z o up8)9+4+ay7i -j 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 $4.6 \% $ uncertainty in $V$ and a $3.0 \%$ 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 to be y*br,h2ks.k ysp8qy s1+u 5kduv.sd 2prlo1/$25.6 \pm 0.4 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $2.4 \%$, 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 estimak6u q++qo 2jl8 lh) z2izaq.fjtf;2xm ted 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 difference (p-4t z9st-ymi2g ivu 6s)wbi6$V$) across a resistor is measured with a digital voltmeter to be $0.71 \; V$ . 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 foll/rrl 2bzf6 g+uowing can b+rz/gfr b6u2le reduced?

  A student measures a distance four times. The readings are kk fw5cu*yjfjto+o 1ch g94;)8l( a es37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. 5*uk4e wt1 (ck+8;9ljsgc of jyfhao) What is the best estimate of this measurement?

  A student measures two lengths as follows: yb j m)k u kmkjq8)k(ah/68;ez$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, ar; +qd,jdx0it fe 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 l bpze*93reyfn01 5qtquantity Q varies is plotted. Theory states that P should vary linearly wi*90 p5fbqyzne l1rt3eth Q.

  The length of a pencil is measured using parte j nqj,hlpeg 4)en-55 of a measuring tape as shown belowee hp n4,5-)q jg5nlje.

What is the length of the pencil?

  The masses and weights of different objects ares.4kaugm jw (( independently measured. The graph is a plot of weight versus mass that includea.jgu((kms4 w s 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 sidcz b5 3vjb;irtw.ll 5+es of a rectangular plate are measured, and the diagram showsz5rjv.li w t bl;53b+c 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 s,5l g:sh4 ez fz1a:rcdphere is measured with percentage uncertainty of 6%. The radius of the sphere is 3.0 ± 0.2 cm. What is the percentag:fhe 4zd, 1:5csagl zre uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shxzh.wuf8tu,m79 55u fwt 4odkown 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 twu8.he0 utu)w4kabbwbh:/v 2o gravity produces the followitwb bk4he0au.wvu/h2w b :u)8ng 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 each measurement has an ffvuc 2jak kd z;4 :,z.vqyv13uncertainty2yzvvk.3 :fd;fk, j u1 4cavzq 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 massxfmk:z.ih (klw,1:wt $(2.0 \pm 0.1) \mathrm{kg}$, 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.,qq shd*x8v/y q z7l( kjibz)+ Which of the following statements is correctzq h+ li8zq/)(xv7* kq,b jdys?

  A student measures a length five times. All of the measurements lie9 k (- dsh)2uggneav9vel 1n2juvvp/: 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 ± 0.4 cm l9l mduq :yco8.ong is cut from a longer piece that is 12.6 ± 0.7 cm long. How long is the remainingymld.c: oq 8u9 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 $\pm 5 \%$ 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 ± 1.2 N is applied to a mass oc7h s(g*e ct8nf 2.0 ± 0.11 kg, causing it to accelerate. What is the percentage uncertainty of its accelerati e*(sc8 htcn7gon?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is- ea t2cguz+z gdlwt+p/cq0 5+;pmzqc/rrf( + measured to be 10.0 ± 1.1 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) %