Which of the following could be a unit of pnb 6dil m()nf e,t,su*ower?

  By approximately how many powers of ten is the height of a human laujyez,/sg e5 ;rger than the heightsz;u5, yej /eg of a grain of sand?

  What is the value of+b,-dkoa yjx0 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system kt,uikq+a 29t?

  The volume of the Earth is approximatelykr32kue 9f4i k $10^{12} \mathrm{~km}^3$ 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 a 6urd 0uz,qshga+0x b(n average adult humanbq x 0z0usrahu,6g(d + in a day.

  Which of the following contains one fundamental unit and one deriv2d31u5mf4muuab wd2eed unit?

  If A=10.0 and B=0.50, which calculation will give the answer with tlwl0 t 5wmackf37zb 0e.wq8i4he most decimal pla.w 8m ilzw45 qwtkclbfa0307 eces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of magnrb*zk(rd6;*.pk q( xyxqtuq4itude of the ratio between the mass of the carp*rqu(b x6yrk *kxz .qq ;dt(4 to that of the mouse?

  A train travels $64.1 \pm 0.4$ meters in $12.648 \pm 0.08$ 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 sho0:r qo)vtj iw /9g:nyape of a cube with sides of $4.02 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 base o9vp 27jx 8qsqu y)xu6n)x i3v+biv;kof 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 $7.6 \%$ and $h$ is measured to $3 \%$, 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 rule thcd6u s02vtbt- at is graduated in millimetres, as shown beloc2d6t- vstu b0w.

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 $3.3 \% $ uncertainty in $V$ and a $1.2 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloo3srm* qvg6:o gn is measured to be $10.2 \pm 0.9 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $4.9 \%$, 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 roousqp n-io3: u6m 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 differeujd-ei 4q*k,a nce ($V$) across a resistor is measured with a digital voltmeter to be $0.34 \; V$ . 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(( o9oqiip3xa the same quantity which of the following can bex9i(oq( ip3a o reduced?

  A student measures a distance four times.:b v5m ifti(*t The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the:tvb *tmii(f5 best estimate of this measurement?

  A student measures two 87an * /-pidjel wv8crlengths 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, n.5o4tjz bin)aiy3j; 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 sta,v 5u fl yvrn4stb)bn6ok,r,2tes that P 2vu , ,4r6kn,vblbf ) 5nsoyrtshould vary linearly with Q.

  The length of a pencil is lar;w6a8 c x;zmeasured using part of a measuring tape as shown below.xwc 6;ra a;8zl

What is the length of the pencil?

  The masses and weights of differene fnz ahc7fec4cf3+ 8-t objects are independently measured. The graphe z f7n8 c34a+-fhccef 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 are me mk)zj)nh)b yt+7sua zn 2kv 2w+du*d/asured, and the diagram shows the measured values with their uncertainties+ wvn hn7m/2d)db*t u+))zy a zjk2kus.

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 measur,nww;t5 /yhk ced with percentage uncertainty of 3%. The radius of the sphere is 6.0 ± 0.4 cm. What is the percentage /wn k;cytw5h,uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thatby2 1 1ge6sxs z+fyueg 2xc,x3:
$$
P=\frac{g h^2}{u^3}
$$
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 e-q5xinaej3r0, /eohgravity produces the following resultqa,j5io 0he 3/re-nx es:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 th36sl 6e(rj:zla yck ma2+qd(oat each measurement has an uncertainty+6(3 m cz:rakoql6(ae2d ls jy 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 mass 8 f.xbzq ea)rr3 +ydf f2 ,rgyvm*j*+j$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.8 \%$ 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 od kdn 916e0 p) o5*)azu/hg /zcuyvjarf the following statements is cooyr a)n h*v)za/6zd guk501p 9u /ejdcrrect?

  A student measures a length five times. All of the meaybo/k.63/,i)n tct f(bjr hq msurements 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 ± 0.1 cm long is cut from alcgji*5l,ey )di7flg s/nm- on:jrs767mld5 longer piece that is 12.6 ± 0.4 cm long.g6l)isrol* 57 d7c7l:/f mgn mynedjjls ,5-i 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 5 \%$. 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 ± 0.9 N is applied to a mass of 2.0 m *yvf00l i2s3 cgo,rq± 0.06 kg, causing it to accelerate. What is the percentage uncerta, co mys flq*v203ig0rinty 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 5z3unfahj. ;lok /+v p10.0 ± 1.4 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) %