Which of the following could be a un;9 ga w4z/l cm0imz.f ore(qf5it of power?

  By approximately how many powers of ten is the h ldgik0/w l6 06asekd+eight of a human larger than the hei0el6l6ws+kg ad0i / dkght of a grain of sand?

  What is the value of c1zy c/xiwoox.*eja ho (+0u8 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental ki7 *d2ziyip8 5;d. ddgq:wdag33rvg unit in the SI system?

  The volume of the Eartmm* r s-b8 ;:zmc3wfzgh 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 *ch4*f.yki4h nxt 4 wnarm+5cnumber of heartbeats of an average adult humanw5tfh xc4mri n*+c*.44kaynh in a day.

  Which of the following q j-0/u*lj6eja,: ps1macuvdm wb v*3contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mo,u0: v6 gqqufu6ct9b,u)uao9in, ox nst decimal ,nnqxub oiq:9ao69u6) tu, guf0 c,u vplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is tgv 5 vt7:udedz/.u:v nhe order of magnitude of the ratio / v7v.nz:eu:du5vt gd between the mass of the car to that of the mouse?

  A train travels $46.8 \pm 0.6$ meters in $14.282 \pm 0.03$ 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 wdatonx 2:7 , iqvaim.+ith sides of $4.58 \mathrm{~m}$. 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 base l.k3 xja248azjl1fd-ofgx4mof 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 $3.4 \%$ 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 a 1dva1-da,l0yex,c g rule that is graduated in millimetres, as shown bgd0ya vl1d,caa-,e1 xelow.

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 $5.4 \% $ uncertainty in $V$ and a $3.4 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloont9n 1 gnxuf5s5tf0fu ; is measured to be $15.9 \pm 1.0 \; cm$. 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 $1.0 \%$ and the uncertainty in $l$ is $4.1 \%$, 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 estimated as 47g(l at+2 gluygyw-d$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differencerb5f b q4k2)gu ($V$) across a resistor is measured with a digital voltmeter to be $0.41 \; V$ . 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 fqgo+ :k7vtir p*5 c:wyollowing can be redwy+ kvoc*5 7::qiprtg uced?

  A student measures a dista:howu ,lxm0d 9:d9q5z bc kfb(nce four times. The readings are 37.8 cm, 37.9 cm, 38.1 cfco:wdlxdhk( 5,uz:q mb b9 90m, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as folxyv s z3u64 s;*suvp-(9k4hkrj9befulows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events,-x1r8jegr9 ol 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 plotted. Thv yb6/hkcs6g zhf(,-teory states that P shots6vh /zg fhbc-,6k y(uld vary linearly with Q.

  The length of a pencil is measured using pazo) fn ut9rhz2za95(l rt of a measuring tape as shown below. (9 ftoza5zr9)zn2h lu

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grapp8-b98d 8 jar -f ly(2ooeysldh isb9y(rfo ae o8pd8d-jls 8y l2- a plot of weight 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 measuredq l0,*uhn9clqu 1u1e grpn a81, and the diagram shows the measured values wi1qna lc9n1u ,lhqe*18ug ur 0pth 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 ty 7ldl c ru3zu973*pz;dtmn +uncertainty of 5%. The radius ofll9;u7r*dd3tuz3 m7 +ztyp nc the sphere is 2.0 ± 0.2 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 show ejg1t .n)( wydt 7lk)6wtv1gwn 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 duewk m-z7n yx4k(//rpx y to gravity produces the following rexyn7(/x kk w/yzm-4rp sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usibfa6ybk32ha +h7bzf o3 4t1p png a ruler, such that each measurement has an uncertainty oza6f3h41fyab 7bhbt+p op3 2kf $0.5 \mathrm{~cm} .$

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 mas x 149(grlj;cwgja8pugc5. rgs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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 e5s)g v7 wk:gfrrror. Which of the following statements is frsw)gg:5 7vk correct?

  A student measures a length five times. All of the measurements lie betxxu +5xxw.hp (ween $18.8 \mathrm{~cm}$ 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 ±ywq, n q81nl8i 0.2 cm long is cut from a longer piece that is 12.6 ± 0.8 cm long. How long is the remaining8nq,1iln 8qw y 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 $\pm 10 \%$. 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 ± 0.2 N isxsx omk t4494mzr4pi4 applied to a mass of 2.0 ± 0.02 kg, causing it to accelerate. What m4 4txxk4rzip9 so44mis 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 ± - vxu5yobpa19 0.6 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) %