Which of the following could be a uni r.7tyl)q7wt ut of power?

  By approximately how many powers of ten is the height ofqurx6wt)ii1w3tt: d * a human larger than the height of a gdw3 wtx urt* :6i)q1tirain of sand?

  What is the value ofuv 0cv0w, a-y4hc pw1r $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following icw60c -ft 1zsfjult,2s a fundamental unit in the SI system?

  The volume of the Earth is approximow9i bh*:z9a 9kf/a bt0l .kqfately $10^{12} \mathrm{~km}^3$ 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 heartbeats of an avewxc8cn2puukg3n4786yep zw q7m x5;drage adult huma p8d8wuz42 ; c37k7ny enpqcu5mg wx6xn in a day.

  Which of the following contains one fundame/7 jtlh bm8jvo:v;(: bu eltl)ntal unit and one derived unit?

  If A=10.0 and B=0.50, which calb e:izln*lm6.kb+ 0dxculation will give the answer with the most decimall bie*l.6mz x nk:b+d0 places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What i wa hv4qp+i6rz/j96mhs the order of magnitude of the ratio between the mass of the car to that of 6j6 q/h9amw pz+r4vihthe mouse?

  A train travels $33.0 \pm 0.6$ meters in $3.266 \pm 0.07$ 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 with sides of:(dbnfytrq )q-lao-h 5 vx*5q $2.46 \mathrm{~m}$. Each side is measured with an uncertainty of $0.7 \%$. 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 b7il;9at zsu x9ase 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 $7.7 \%$ 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 is measured usinx 0q zb)d2/vbxb,g syb/3th5phq 9d1yg part of a metre rule that is graduated in millimetres, as shown be /vy b)dzbtx 9pb0gq b51 yd2,/xsqh3hlow.

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 $3.9 \% $ 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 ball pu4p*uedd/: n c n9yu+leetn 93t5y*eoon is measured to be $22.1 \pm 0.8 \; cm$. 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 $0.4 \%$ 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 estima c,chpoc ut; z.dynjx15*e77 nted 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 differencbo48/ 4lg cib5as *9amsefh-v e ($V$) across a resistor is measured with a digital voltmeter to be $0.48 \; V$ . 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 whiy9pjeom.:/ w pch of the following can be reducedo y9pwp em/j:.?

  A student measures a distance four times. The readings azdja/ wuj : 1yvhy+c;8re 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best yuwhjv/dc a;:+j1y z 8estimate of this measurement?

  A student measures tw v 88,/qdeg.cjne)ysx0 m+u lto lengths 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 measured to b;; 1 +7q hvlt-uhequzw0qmj, fe $(5.1 \pm 0.1)s$ 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 8jjyxob( dzdg* :lthvx3ksmt 2.(/6lis plotted. Theory states that P should gvx l joyj:(2/ld86.dkh*s( mbtzt3 x vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown be wrs0hh(gqh* sqz2+ (d :xlcf*low.* lf*x (dq qzs h:r+gsc2hh0(w

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The g/0 cmeh f9rd/8ye eea,rap/9f8 de,r /eca ey0hmeh is 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 i99 7 zgae*qyzare measured, and the diagram shows the measured values with their uncertainties9qei7 z 9ya*zg.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid sphe *3e7ez /ot8zu7 ltbhwre is measured with percentage uncertainty of 4%. The radius of t l/zbewt o*h7 3u7zet8he sphere is 2.2 ± 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 shown t-+lqkx/osue-i6o fig0 6 f*oqhat:
$$
P=\frac{g h^2}{u^3}
$$
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 prhi p9lr s:tv/*oduces the following r:i9l/*sv rth pesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uncertainsth0wq .do(hh)w+ g+bfy l0b6 ty ofd w0q+yb+ s) lfht(h06 howbg. $0.5 \mathrm{~cm} .$

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 masllt15u vhy;p6+ l gaj6na)8czs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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-nec68paj1z 5i1k/at qdg9cmwi nlb761egligible zero offset error. Which of the following statements is /atqc875 dbl gnic61 m1aj1 9kpiew 6zcorrect?

  A student measures a length five times. All of the ,bk *g:,hotz bagn *t3guc(m.measurements 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 ± 0.3 cm long is cut from a x.zf0h3dgj/sle b +7lx x94unlonger piece that is 12.6 ± 0.7 cm lonen+jgh 4l 3/bzf0x s9x 7xudl.g. 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 3 \%$. 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 ± 1.1 N is applied to a mass of 2.0 ioy95:tj jacme-.btb (cc8 tejk4/ j.± 0.05 kg, causing it to accelerate. Whkjbtt 8ey.5cc t jb4m/.9-c: ojje(a iat 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 x5k6z sauyfm m4l+np;ny481.q: f adw 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) %