Which of the following could l wwllq26tnk6tp2p(*mgu7 6 iwt0g 2 tbe a unit of power?

  By approximately how many powers of ten is th t)2,y gy i(rlkvk3oe:e height of a human larger than the height of a grainko3kr y gv:,lit2y) (e of sand?

  What is the value of h4u2 ftmr7.sp $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI mwc0lgao ao9p.tw(h 550 ukh/system?

  The volume of the Earth is approximat4c y9yzx a:lqzv )qn4mwzrm w1*,v. x(ely $10^{12} \mathrm{~km}^3$ 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 magsn8*klwq v 4lhzqbr s6(;;6 kqnitude, the number of heartbeats of an average adult humanr qqvhsk4 6 l(z*;b6wn8q;ksl in a day.

  Which of the following contains on.*q:;w ryyw 3wza,erj+5hktae fundamental unit and one derived unit?

  If A=10.0 and B=0.50lwtsbf-;0 /ryynz 1)d, which calculation will give the answer with the most decimal pldn )-1bty;r0fzw /sylaces?

  A car has a mass of 1000kg. A mouse haja z4snmy bkc.oo:; t/n/h-; ss a mass of 10g. What is the order of magnitude of the ratio between the mass of the cajsh;:sy t;- b/k o.n4m/an oczr to that of the mouse?

  A train travels $83.6 \pm 0.5$ meters in $14.302 \pm 0.04$ 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 *bx: 1vcepoc w*7e3occube with sides of $1.96 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. 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 baseh h11z tmr/..kndryy9 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 $6.6 \%$ 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 auvo 3z-m0 nwi/ 4ev)nt metre rule that is graduated in millime- 3vimu/e 4 wovn)n0tztres, 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 $5.4 \% $ 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 isk782 i-mfyl/7dm pdsk measured to be $20.0 \pm 1.1 \; cm$. 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 $3.9 \%$, 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 room are estimated z dli8x2/- nvfas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 (lkc 0kj(,1sxq*txpb7m3:g wd$V$) across a resistor is measured with a digital voltmeter to be $0.16 \; V$ . 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 w7x -mu hzm;o*r p9hy9yhich of the following can brhm*o m7;xzy9h yup-9e reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 c 6lngsi48ma0+)j qvycm, 38.1 cm, g6)0nis48 my l+qcvaj 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as foq7v mflu254yqllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are mewh8y:hgobqp f/w( 3 u1asured 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 quantlsd3it hv2s+ymd /0 /g5yz zy3ity Q varies is plotted. Theory states that P 5g/v ih2z0z+y d33dls /ytsym should vary linearly with Q.

  The length of a pencil is measured using part of zfht9b 87wq.qs7f7 ix a measuring tape as shown below.siwxb8qf9h 7qtz 7f 7.

What is the length of the pencil?

  The masses and weights of different objects are independent,; tvphpywsc1zk1;/u5/i yfa ly measured. The graph is a plot of y ;/cywkhv;1/5iz, pf s1uatpweight 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, af/p bly01:y*rz wd-yond the diagram shows the measured valuesyo y0:/ -lybw*fp1dz r 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 uv2fb d)a/4rn*(o e v 8jjvg ncik++w9tncertainty of 3%. The rkcd+9 (/) 2otrej w4ivgnv*a+bfv 8nj adius of the sphere is 1.9 ± 0.5 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 hasn 9t mway7xh72,f.l b,5ccflx shown 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 the fihcq9l /*k p sb:gm:7pg*owf b7rea3:ollowin g s7gw:bbc9r*eaq p if3 mhp*7o/lk::g 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 measurement has an uncer-93wew bho o,od*8xi vtaintyid 9*o, o8ev x-h3wwbo 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 2xl 6p0xvkdj1 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.5 \%$ 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 offs--,xom ay7gnc,m6pr l et error. Which of the following statemen6 -o p,cyxamrgm 7,-nlts is correct?

  A student measures a q0j p 9nve.uova9t59en 3of*lf5k 0oklength five times. All 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 cn3wkt3 xocl 8b ka*- *7 -upunnlf:j7am long is cut from a longer piece that is 12.6 ± 0.8 cm long. How long is the r n-kkcj*:tul 8uaa33xof*7bn npw-7l emaining 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 ± 0.9 N is applied to a mass of 2.0 ± 0.07 kg, causib- xp7 ii;vp.mng it to accelerate. What is the per.;b- ip7xmiv pcentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measure-k.o*/a8k l0 ch.b1e wagmqt yd to be 10.0 ± 0.4 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) %