Which of the following could be a unityh9 ydt0p (5im of power?

  By approximately how many powers of ten is the height of a human la5eaj1aa5 +i wnrger than the height of a grainaj n 1+a5ai5ew of sand?

  What is the value of+yn/slv j. 9 g:fsvla( $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit i7hcv z0ex xt zu((4fsrqv6 5y8t(m;8m5aau k qn the SI system?

  The volume of the Earth is apprnte2(ujd9z l5m23jsn oximately $10^{12} \mathrm{~km}^3$ 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 nearq hfy;rs5hn i0ano 5( jbomi/hv8w( 9g* wy.,qest order of magnitude, the number of heartbeats of an average adult qhgj,9( ;wiwvi5 8ma y./5* fnqb nro yho0(shhuman in a day.

  Which of the following contains onegx2w2w7 0s v)egh5fx5d. fviu fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer txoyx5s)i5uuv 7qs(: with the most decimal placo)y qx5x5si7 tvs(u :ues?

  A car has a mass of 1000kg. A mouse has a mass i74g xz -j+m:i 4sgpq;azg3dpof 10g. What is the order of magnitude of the ratio between the mass of th-4+ zzm gp3; xd4qagpi7g:s jie car to that of the mouse?

  A train travels $40.4 \pm 0.7$ meters in $5.169 \pm 0.05$ 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 shbe(umivn3cs 91aboe/qy 1.t6ape of a cube with sides of $1.94 \mathrm{~m}$. 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 of sih*yqe h ,bp d6*4:nji /to2smrde $x$ 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 $10.0 \%$ 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 rul e x(bsfu .:+6ez-zyzze that is graduated in millime -:xzeez f+bz6uyzs(.tres, 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 $6.0 \% $ uncertainty in $V$ and a $2.6 \%$ 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 measuredgbn0 zg9h p+e9 to be $28.4 \pm 1.7 \; cm$. 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 $0.4 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 esti3zdl620v/gn8(u+g v -zy wa1umb rhjkmated 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 differ0q.z 1ey* /r ugzt8/kz p4azzuence ($V$) across a resistor is measured with a digital voltmeter to be $0.74 \; V$ . 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 quantitlji*o(3r1w jwf n- ;wxy which of the following can be red1w wj;-( o3nwjx ifrl*uced?

  A student measures a distance four times. 0,tec0sohpxq v tz-1.The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What i0s zqhcvpoxt,e.-1 0ts the best estimate of this measurement?

  A student measures two lengt;gpinse cbl* /f 812nths 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 measu/l x +)(yruxqgc u4e.pred 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 states that wx6d3.pyiv p77hlys 1P should vary linhw7pi7ls x.6v3 yy1pdearly with Q.

  The length of a pencil is measured jzv5b,26j0rd5mw wspusing part of a measuring tape as shown below. 5bw6sp,vzj 2 5rjmwd0

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grapj8nprh ;km o7ig;w)2.jiu wft* ok9 :th is ph :wo*u kktf98)j2t.;gjiiwnr; 7moa 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 o j6 xnvvl+d/5yf a rectangular plate are measured, and the diagram shows the measuredvl56/xvyn+jd 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 uncertainty of 6(i4 e26vpidei %. The radius of the sphere is 2.2 ± 0.2 cm. What is the percentage uncertainty in tevi(ip 64 d2iehe mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has show-bk pbk51vhv (n2j dj9n 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 thmbjh+3p zj;: ee following resu j3b:e ;pjmhz+lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uncertainf mo:bea0+xoq*bo7 o-b*: a+q-m7boofox0eo ty of $0.5 \mathrm{~cm} .$

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 masu*h9 m ifd sjw6w9b7n(s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.2 \%$ 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 offset error. Wca tbcy j3dekh h* ma+.nz.5..hich of the following statements isham.*. hbztc j.e 3c.kadn+y5 correct?

  A student measures a length five times. Alls9kj kp zw,:tid,(3zi of the 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 ± 0.4 cm long is cut from a longgg4 zddorer+x8p; 3l 2er piece that is 12.6 ± 0.7 cm lrdz4ro2de gg+x8 3; lpong. 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. 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 ± 0.3 N is applied to a mass of 2.0 :)9yg+n* kx6* cnh x-j0djsny rwdmv -± 0.05 kg, causing it to accelerate. What is the percentage uncer) s-g9jwv6 **mk y: hnr+x0 ncd-jxdyntainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured t6cnuxb, .(: o(oyds;kaq) v ndisp: .so be 10.0 ± 2.1 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) %