Which of the following could be a unit gr7;* iena0 dor 9gse,of power?

  By approximately how many powers of ten is the height of a human larger than thaoex jhl+mla2z(: x62e heixj zxle+o (2a2h6a:mlght of a grain of sand?

  What is the value of z8 t lek8s4sstj+/ot 2cf mr.3$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syst 3na3,h+bb ,er2 o zq;p *hudpc)2hriuem?

  The volume of the Earth is appre.;ku 2kon;en ,tb( rroximately $10^{12} \mathrm{~km}^3$ 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 mae(zy sw.9ls) zgnitude, the number of heartbeats of an average adu lw .(s)szez9ylt human in a day.

  Which of the following contains one fundamental unit ante /r i (gkim-9v:v5uad one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with gwrcqiu *9e8- the most decimal p i9eqgu-c*w8rlaces?

  A car has a mass of 1000kg. A l; 3n -h*hstrlmouse has a mass of 10g. What is the order of magnitude of the ratio berl3;s hn h*lt-tween the mass of the car to that of the mouse?

  A train travels $63.5 \pm 0.7$ meters in $13.144 \pm 0.06$ 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 ;s ,n91uv iqvgcube with sides of $2.27 \mathrm{~m}$. 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 6p xixs-r go.3base 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 $6.7 \%$ 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 using part of a metre ruleot0ggx1up o2m 1or1w4 that is graduated in millimetres,x11 2 0ogmu1rop4g wto 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 $3.2 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is measured to bew64q)hun5xcmk ) 3nfp $13.0 \pm 0.7 \; cm$. 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 $1.0 \%$ and the uncertainty in $l$ is $4.6 \%$, 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 sidey)+h73.ampp*x hyqm rs of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 difference (1ujs,;2zazu2v* 9vje i jps )i$V$) 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 measurements of the same quantity which of the following cafs 8xb/x.fscszb.zwf : z;;xjp(6:yb n be reducedz f xs(x.s.x86scbzfz wy/::b;jb fp;?

  A student measures a distance four times. The readings are 37.8 cm, ag*(ccv+ tbsa4r+2cf37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measur+acc+rsvgb ( af2t*4cement?

  A student measures two lengths as f;y s 5v1r8a6vrlb+svbollows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, 2ge ss1ikh)pet0i rir40:qm0+b 8 rc da and 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 quantig1ba146u gaei-dpt 0dty Q varies is plotted. Theory states that P should vary 1u 6db- ggaia014tpde linearly with Q.

  The length of a pencil is measured using part of a 74rm dg-f 2l qg+dpz6 dp(t:pnmeasuring tape as shown below.4dpd gf(m+n-z gl6qt72pdpr:

What is the length of the pencil?

  The masses and weights of different objects are independently measb(vt46e :ep b1 u7rgqpured. The graph is ag 1q 74vtepp(b6br:u e 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 measured,t(th (bv4r pst6yf;u) and the diagram shows the measured values with their uncertaintie 6tt()pyhr(v ub;4stfs.

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

  The density of a solom9 q-wno na04m.dtlp -yg ;3bid sphere is measured with percentage uncertainty of 6%. The radius of the- omq 3dnn oywtl49m.a;g- p0b sphere is 5.6 ± 0.1 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 sho+5ccdi v2)4:xuy jx pm,xl 3aywn 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 acceg obb k3dmf,ww9e b19)leration due to gravity produces the followi 19,b3d)koef9bb mwwgng results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 mexc wge8yf4: 2pasurement has an uncertainty o:w8cy xgp4ef2 f $0.5 \mathrm{~cm} .$

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//b3uzl8rzh g eszmt2 +j7ve8 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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-ne6 bzl fye589 y:oq:ie)e, xpmdgligible zero offset error. Which of the following statements is ce:yqz )p8my:59ix, d6ofe bel orrect?

  A student measures a length five times. All of the measurements lie (ol rd;e3o+x4mf jg)s 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 longer piece t9jl,rb2e3k dy hat is 12.6 ± 0.7 cm long. How long is the remal 3bkje9yd r2,ining 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 $\pm 4 \%$ 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 ± 0.1 N is applied to a mass of 2.0 ± 0.03 kg, caui/:xdal:p.,td+ z ls r9q ijp9sing it to accelerate. What is the percentage u9 +qs, d:tjplr:l p/.ixadzi9ncertainty 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 10.0 ± 1.5r *iv.g+v 1d liqsgmj ): v;iu6brpx/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) %