Which of the following could be a unit of)1pj 1zr 0y ue7g0sqkg power?

  By approximately how manyacn 08p tlzk:k0+1/uak:x 7k c.tdwfi powers of ten is the height of a human larger than the height of a a8 k :dc7k01tnuzxl+iw f .t0 :ak/cpkgrain of sand?

  What is the value ofh pb4+-xh) tym8xnw f- $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the7;*;rw axkuwl SI system?

  The volume of the Earth is approxi,x 1*/fgou xuqxo1i7zmately $10^{12} \mathrm{~km}^3$ 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 heartbej xtp2dep ,6r1ats of an average adult humtd6xr2 1pe jp,an in a day.

  Which of the following contains one fundamental unit and one derived jd sl1kc:30klx ( b/hnunit?

  If A=10.0 and B=0.50, which calculatiop5ngm xgli )1.n will give the answer with the most decimal plag 1np mig5).lxces?

  A car has a mass of 1000kg. 7zo8ewc0 74vbw aib4p A mouse has a mass of 10g. What is the order of magnitude of the rivw47o 0abzc478wep batio between the mass of the car to that of the mouse?

  A train travels $71.0 \pm 0.5$ meters in $3.148 \pm 0.07$ 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 sb-)): ougag y hrikq4htnu. 3*ides of $2.27 \mathrm{~m}$. Each side is measured with an uncertainty of $0.1 \%$. 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 ba t tg82/ +l5wdrktz+itse 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 $9.4 \%$ 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 isn w2a/lo8 1hnm measured using part of a metre rule that is graduated in millimetres, as shown below.ao8n/ 21ml nwh

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 $5.4 \% $ 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 +r wtklm8s ;bkl76k8s be $29.6 \pm 0.8 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $3.1 \%$, 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 fr8 phpi;,zrbt:c4.zck g 4d,a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 12 \%$. 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 (d/qieft.gm67 ru 8j4p:qe2 wp$V$) across a resistor is measured with a digital voltmeter to be $0.47 \; V$ . 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 wmy;jz-i zxtyz2f *7.ohich of the following can bemioyy7 -t2xj *zz.f;z reduced?

  A student measures a distance four times. The readings 3)3w a5: *i nrk,k dnwkxy-z.jc juay:are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thu.a k jjza)n nwycir-3 kxw*:dyk3:,5is measurement?

  A student measures two lengthgzbp90u6c2we4 bu et*s 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 an viaoc ph34;zu e1+a0scg.i tr;a9xw.d 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+z tg:5 cg4i1nm .fifn varies is plotted. Theory states that P should va :+ 1 gtgi54mfn.fzincry linearly with Q.

  The length of a pencil is measured using part of a measupj/t -0 .doha3bbm3ncring tape as shown below.aoc.0t3b bhn pm/jd -3

What is the length of the pencil?

  The masses and weights of different objects af e,:x.l ra:alre independently measured. The graph is a plot of wee:, f:lax.ralight 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 meas3yb erje23jka4 49p8 oklxk4aured, and the diagram shows the measured values with their unceakk9a3kpr 4e8 jyl34ojb x 4e2rtainties.

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 u8jimzdnr:4 : +zt( z*iyxcci *ncertainty of 3%. The radius of the sphere is 2.9 ± 0.5 cm. What is the percentage uncertainty i*iyn(dmcz:8i+ 4ict :j*z zx rn the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has showneqwf9( d x icy0 8h;x(fiqf0wedpg(3) 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 mea(73b. b ajbpkesure the acceleration due to gravity produces the following r(bpe j. k3ba7besults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uncertainax1z+)w.xq7cm8i my ) 8ezh kc2m8x pjty o+)c8 m.hp)zqmi 7j8 m x1kxe2waxyc8z 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 g,v2s*w.)fv m4k m.ad tlr.li $(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero offset error. Wbg)a)cmd o.j fahg).r 8jz) j;hich of the following statements is com..hc fdb)gj;)jojra)8 az g )rrect?

  A student measures a length five times. All of the measurements :89 so+ge5m- hv gzofnlie 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 thats+i*d l ;pk+cxuj *u rlc)2j*p is 12.6 ± 0.4 cm long. How long is the res*jlp*i ck+*;rldu pj)u +c2xmaining 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 $\pm 9 \%$. 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 ± 0.7 N is applied to a mass of 2.0 ± 0.14 kg, causing i*ud :s0cgpmq.9gmx , et to accelerate. What is the percentagemm0 x9p.sd*equ cg:g , 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 be 10.0 ± 1.25rckk9z; yiuz8 3q:lb 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) %