Which of the following could be a unit of p72 xmjnw4xml)y( i; dsower?

  By approximately how many powers of ten is the height of a hum)+h(fcsd5i4jp8uq *p*d gc vfan larger than the height of a f( jqf)i54duc+ p *p dshc*gv8grain of sand?

  What is the value of vo kfet ndlk0.no )+k69s,qe6$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unnbj2amd- r+0d0f ga;fit in the SI system?

  The volume of the Earth ismy sn pp79qo776p8 3:ly elkyq 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 oa71d62 upvfgs f magnitude, the number of heartbeats of an average adult hum vgs1af6u2dp7an in a day.

  Which of the following contains one fundamental unit and one derived unm u(e.s;ij+ws ih y55git?

  If A=10.0 and B=0.50,1l 10ytn-jdzr which calculation will give the answer with the most decimal places?t1n1-zd0 jlry

  A car has a mass of 1o)/cchz;n/ n9cz i c7f000kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the /z)zfcocc hi 9; 7nn/cmass of the car to that of the mouse?

  A train travels $69.3 \pm 0.3$ meters in $14.362 \pm 0.05$ 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 o wklnxs23j3ck b7,hnn/3t 9abf a cube with sides of $4.08 \mathrm{~m}$. Each side is measured with an uncertainty of $0.9 \%$. 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 ofe qv5z,jak0/vw w1 /pt 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 $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measurerh)wm05lo w9d d using part of a metre rule that is graduated in millimetres, as shown beldm o h90l5wwr)ow.

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 $3.2 \% $ uncertainty in $V$ and a $1.1 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballc 5ptfj0t g7:zoon is measured to be $16.2 \pm 0.5 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $5.3 \%$, 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 estip *unm6 f bs*79*1 y63jmbbncy 2sutwxmated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differ0 f1atn7 wwr8rence ($V$) across a resistor is measured with a digital voltmeter to be $0.44 \; V$ . 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 measurementqw,8:8f wjni/h hw+w as of the same quantity which of the following can be hn8j q8 wihwa,/f +w:wreduced?

  A student measures a distance four times. The readings are 37.8 8-7tqc7p)hdsj 5 pbvncm, 37.9 cm, 38.1 cm, 38.2 cm. What is the b5c dpp8)nt7h v- s7jqbest estimate of this measurement?

  A student measures twont.ttx;l,uxp 5ia)6u 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 mj ;7gmf 8ta c-*kwlf: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. Theory stj5.wls fzq3 4wl9dgb sn1t5m4ates that P should vary lineajz fs d5.w lq3g51s4nwtm49b lrly with Q.

  The length of a pencil is measured using part of a measuring tape as sknd/bj . c:7ephown below. db./7 :ejkpcn

What is the length of the pencil?

  The masses and weights of different objects are independently mek/ eo.0km8m0ff nkufur b-l-/asured. The graph is a plo0u0/k.r k-8n/flek ffm-o mubt 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 p:lu+r1uy5q3upis e4z /nh8zmeasured, and the diagram shows the measurzn:13/hu se4pu5i z+l8pr yu qed 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 sphere is measured with percentage uncertaintyp1hr; w8o. drzec6 j;d of 8%. The o rw61dz;r8j. h;cde pradius of the sphere is 1.6 ± 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* 0yspma )26j* 0pkf ixal6phphat:
$$
P=\frac{g h^2}{u^3}
$$
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 mevevees2jt/f.:dn+ h:v it 2p8 asure the acceleration due to gravity produces the following redj.t/v:: vfe+tnevh e i282 pssults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rulebqd5xn o0*gt 8hd.p,er, such that each measurement has an uncertainty ofbt*ox pq.e0gnh, 58 dd $0.5 \mathrm{~cm} .$

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 maspxt )(m,mxw*yccdu 6(s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.2 \%$ 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 of0e ptzzy73 e5hfset error. Which of the following statements is correct?y3 eepth0z z57

  A student measures a length five times. All of the mhz,k)io( k22,aguo8 oridb b 9easurements 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 longer piece that is 12.6 ± 0. m*di5,t wnem8*+srwt osa1;n 7 cm long. How long is the remaining piece of stis 8omsm+nt**1dnw; 5,weratring?

  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 $\pm 3 \%$. 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 ± 1.4 N :hg ), 5i0yizfxw w6phis applied to a mass of 2.0 ± 0.16 kg, causing it to accelerate. What is fix,h y) 0ipw6gw 5:hzthe 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 a4zz ;j,yyy*l)d8f ntkll9a44+ou pkbe 10.0 ± 0.7 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) %