Which of the following could be a unit opcq4+pecqc,/ zguxs3 ar *t+/3t r 4jif power?

  By approximately how many powers of ten is k8 cnf ,ztmdxn d6 +w5j77k.pxthe height of a human larger than the height of a grain of s +dc w7pn8j56d7fkk,.n xmtz xand?

  What is the value of g-uh:howmwd wr 5)f(,$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in then:u0pmz/n bu8 SI system?

  The volume of the Earth is approximarap(hi+-,jstx)/ xxk5 rm v9btely $10^{12} \mathrm{~km}^3$ 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 5sl+ evbux*e ,of heartbeats of an average s*uxe,bv+e l5 adult human in a day.

  Which of the following contains one funda.2gno rz2ne8;ue0 fws i.ux2kmental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation willg-u1qeheaf- r6 :7q l-ez/jbl give the answer with the most decimalgee qu--7:- haz1bje6lrq /fl places?

  A car has a mass of 1000kg. A mousxjgya ;fqd6/e6 bx +.r5) df9sgmuo+ qe has a mass of 10g. What is the order of magnitude of the ratio betwee xm;+y +dq5j/) fggab9qou6x.fe6 sdrn the mass of the car to that of the mouse?

  A train travels $96.8 \pm 0.3$ meters in $9.708 \pm 0.05$ 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(gcuc15 f 1 pdp9h6ifn of a cube with sides of $2.75 \mathrm{~m}$. Each side is measured with an uncertainty of $0.8 \%$. 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 b*re3(iro;ar6wz7 zu le4k m1mase 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 $8.1 \%$ 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 thatqyiyn 9aq*8s5 is graduated in millimetres,qa8qsi9yny*5 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 $5.5 \% $ uncertainty in $V$ and a $2.3 \%$ 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 toaes4tjsby.67ort *n*h kir 9+ be $26.0 \pm 1.6 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $3.1 \%$, 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 estimat4: tcq4( umkyf-yo9 oted as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 ljm 5y;jnq.k62 bm8shence ($V$) across a resistor is measured with a digital voltmeter to be $0.24 \; V$ . 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 followi y1pqfz*6z0 hfng can be red0zpfyqz6h* f1uced?

  A student measures a di:r 2.ro/1q ojvdmi7 phstance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measureme/ohv2r 1:m.op rdiqj 7nt?

  A student measures two spq-d +lli 7s *mt3s(elengths 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 memt huoeg-46 8lasured 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 var jn lfu,wuv9f:lk-ho j)eh,2 9ies is plotted. Theory states that P shoh v jf ,)9uolk:uwfj-2elhn,9uld vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as showzi,x y(rvp* n wid+1d/n belowiddynx zr+p *, /(vw1i.

What is the length of the pencil?

  The masses and weights of different objects are independently mnd;bt8ukvur,z7+9pmm, 0 z 2w; dwxdieasured. The graph is a plot of weight versus mass that includes erro2b7du+0iz9 xvdm8 wu;rtn, wd ;mz,kpr 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, and the diagr(5espd (3p2ke,vu zb5 ahjs+yam shows the measured valuesyb3j+ u sv5dk,(z2sp a 5eeph( 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 uncertainty of 7foy s9sg(h s7a )a6za7%. The radius of the spheh6zy 9(fag s7asa)so7re is 3.9 ± 0.3 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has /2jn4x)go seho ;zl8ushown 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 to gravity produces zyo3asi rnr82gi4)f n zsj :)3the following resultz ozgrs84y3nfs 2 in:3a))rij s:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 unce, /myd,u- bw. lvhk3a6gn+elortainty ofn-l,vy d wab,.o3k6g+h el /mu $0.5 \mathrm{~cm} .$

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 z j8m6t- pdmh5$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.8 \%$ 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 sta rbi-kaw /5gv e l;d*67xubz3vo)g;avtemezuxa o*6d)5;-b7k ;gira/v lb wegv3v nts is correct?

  A student measures a length five times. All of the measure1hl d(nm:00 wj2elxmoments 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 cm long is cut from a longe i; q::kfosb*(i8uzryr piece that is 12.6 ± 0.7 ci kq8*:syob:fi(r;z um long. How long 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 $\pm 9 \%$. 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 appliezc0qob 9ft55ud to a mass of 2.0 ± 0.06 kg, causing it to accelerate. What is the percentage 9qbz u55ofc0t uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is:1 dyu/jfvm6 c measured to be 10.0 ± 1.9 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) %