Which of the following could be a uniti9/ uex)f03 5cy.vl sf (lxkyn of power?

  By approximately how many powers of ten is the height of a human l bb/u0yb4fb nrtnz2 lki 6k2/.+p fvf1arger than the height of a grain o//ifn bkv01lf fy ukbt b .n6rp2+b4z2f sand?

  What is the value of bicnmw7 t,;+w;uk1 pw $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is ad4 y,o.l lkou* fundamental unit in the SI system?

  The volume of the Earth is approximately 8 s v,jmbis0qgtch);5 $10^{12} \mathrm{~km}^3$ 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 heart ujb5hz1/ :m8t4cu qdtbeats of an average adult human in a dac4j:mz thq 5utubd/ 81y.

  Which of the following contains one fundamental unit and )v b4n091wa8cvu*ae.gnoxb b5 fas2e.ewg8c one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most u xuh)-4 jmk5)gwrju.decimal gw rxj)h ).muj4 uuk5-places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the oh6p00mvjt- 48hwlio f w.as8vg/q,horder of magnitude of the ratio between the mass of the car to that of th8 lwvh8.jmao iqw tvh6/0g4h 0,s -fpoe mouse?

  A train travels $35.8 \pm 0.7$ meters in $4.470 \pm 0.07$ 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 wih ( 0/0i ,7xjtgd-ocn)ynimbc th sides of $3.95 \mathrm{~m}$. 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 base of shmiyd/n6 yjbaw*)m2k; m:cy 2 ide $x$ 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 $4.2 \%$ and $h$ is measured to $6 \%$, 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 wqi/3c/4g7ar8i, ip xcewj-tpart of a metre rule that is graduated in millimetres, as shown below.gw3 t p4j8ii crw/-c,e7q/iax

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 $6.6 \% $ 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 ballookg,ck amcku7le7 6cj2m* t9h dv1)7upn is measured to be $23.6 \pm 0.7 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $3.8 \%$, 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 szn:0 g3d hzx1j1na:xof a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 differe2pw4, xrwa5rq0raj9 q nce ($V$) across a resistor is measured with a digital voltmeter to be $0.39 \; V$ . 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 sa0 l0e5i+c jkbfme quantity which of the following can be r00 jeli 5bf+kceduced?

  A student measures a distan 4,) ke ; +oklfvahjlb7.53axatx3zzpce four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm,jf53p+aelbxx)4 ;7a .hoakl t3zkvz, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengt9j39xzuh2z8t goskj 9rv4oi 0 hs 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, arezwn7 q dxx2*:62nx(,w z cwpvu 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 z9q *eyb*z4rr4 wsmi(7dyt i9g1whq7 as quantity Q varies is plotted. Theory states that P should vary linearly wqh*zr4eidq g19tywy ir 79* z 4wm7(bsith Q.

  The length of a pencil is measa u k:v ;2vh7k uj*yd: 2a:9xg7exhtwyured using part of a measuring tape as shown below.v7j*kvhtyx22;:a ugd : h:79aykwuex

What is the length of the pencil?

  The masses and weights of different objecbxv 3 g o i38w4-own+l nibjwns*3g3:mts are independently measured. The graph is a plot of weight versus ma3n3:wio-won 3nx*bsg3wblj4m+vg8i ss 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 plah z 3w/j:5ehwoq0ubu4te are measured, and the diagram shows the measured values wi/3jzwhqw :0 e5 u4obhuth 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 s1n.*hqc h 4wsaphere is measured with percentage uncertainty of 6%. The radius of the sphere is 3.2 ± 0.3 cm. What is the percentage uq. sh* 4nhcwa1ncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thag5m lf mc3s1mf/c/-aub yz .s:t:
$$
P=\frac{g h^2}{u^3}
$$
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 tole9hp ( wg0u2ag0xap4 gravity produces the following r ea xp(0la042hwpu9ggesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usiess+a d0 wzw69ng a ruler, such that each measurement has an uncertainty szs60aw9+d w eof $0.5 \mathrm{~cm} .$

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 mass7r/0j zmm/ h6lkr. bfh $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.1 \%$ 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:jng k/* t1fwv statements is correct:w1vfnk tg/ j*?

  A student measures a length five times. All of the measurements lie bet;a*8gc euj:i +m3w bs;o ,xbzrween $18.8 \mathrm{~cm}$ 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 longe3 ij q4ada*pbgvd-ck 8 pm*n33r piece that is 12.6 ± 0.2 cm long. How long is the remaining pic pkb3d8-migp*4*a3danq 3vj ece 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 $\pm 3 \%$ 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 ± 0.4 N is applied to a mass o r8en4xtm97h:2 a8nzld /j luhf 2.0 ± 0.03 kg, causing it to accelerate. What is the percentage uncertainty of its ace9l7l t/dn2h:u8 hj48 xnza rmceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured6m0 t2r3b*hxpnqq vs zn, oy75,3wyh j to be 10.0 ± 1.6 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) %