Which of the following could be a unit ofdn/bld x;8 ) xapaiv3a8p/(bp+oq gz- power?

  By approximately how many powers of ten is the ky.r1;tbmky8 height of a human larger than the hei ykt8r.b1 ym;kght of a grain of sand?

  What is the value of l;aoir3 x d;q)$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syl0b 3bf dsl,z8stem?

  The volume of the Earth is approximate isu)q t 1d9)o-v9ujvcly $10^{12} \mathrm{~km}^3$ 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 orsew )w9kfg-nuq +u4+f der of magnitude, the number of heartbeats of an average adult human guw)9- n4uk+q se f+wfin a day.

  Which of the following contaia);xdy z)a3)d z ap*jdu9o+qons one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation wi+flb; 21 *rc4jyw lgoill give the answer with the most decimajf4 wo1+c*r ylbl 2g;il places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the orde jn7+ju ypns v 0;0qu.(x*pnyvr of magnitude of the ratio betvyj j 07q*xy.n;vs0 pp+(nunuween the mass of the car to that of the mouse?

  A train travels $70.3 \pm 0.4$ meters in $6.574 \pm 0.05$ 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 shape of a cube with sidr n7uy. infr s/q++l 7ymu1v4yes of $3.94 \mathrm{~m}$. 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 base of sidh 5/;dl olh gm;2,habye $x$ 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 $3.1 \%$ 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 z3hm0g. d g.6bii7q lfnq,l2d part of a metre rule that is graduated ini qml3 7ig 6.lg2qnzd0fb,h.d millimetres, 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 $5.3 \% $ uncertainty in $V$ and a $2.7 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballv9h/ lxv1*ifbnfwli4; /m1 uw oon is measured to be $28.5 \pm 0.5 \; cm$. 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 $2.6 \%$, 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 s+j+vjkb(rmu:;n j zv9 ides of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 difference v1jje50n h5+ss f h1tj($V$) across a resistor is measured with a digital voltmeter to be $0.76 \; V$ . 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.y si k s*s (3k*+no,n0ysxlt/aq 4mgi of the following can be l i tk+,nxqsa ksym/ *04n3*oiss g(y.reduced?

  A student measures a distance four times. The readings ar 6hy;8m mttt.g ,lf;yjpkk* z:e 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimtm y;hzp,.kj6g l 8:kmy;t* ftate of this measurement?

  A student measures two lengths as fo 5nw)j r wj0u+g3hpv3gllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measur i3 ;jti+oz(h l;b75 (ovaxaroed 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 ,s8m6iz4 ptxd is plotted. Theory states that P should vary linearl4tzmid,8x s6 py with Q.

  The length of a pencil is measured using part of a measuring ts:+- iqx . j(sppc4stqape as shown below. s4 .pcjps:xt+ qiqs(-

What is the length of the pencil?

  The masses and weights of different objects are independently measu1 x;a0an.0n2 h gqcpcured. The graph is a plot of weight versus mass that includes erpahc1 q2xun.ca 00;gn ror 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 measdt7c7d0vj0n lcf 2a i(ured, and the diagram shows the measured values w0 c(ia02vdf c dnl7t7jith 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 3%nal 0yu : f+fin 6w;hirsh25w:. The radius of the sphere is 2.5 ± 0.1 cm. 5wfh nwli:6 2y rnf :hsuai;0+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 shown thapg *98 yr*erett:
$$
P=\frac{g h^2}{u^3}
$$
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 t h;*5fvr jo 7ngur5xr;o gravity produces the following resulu;5*nh v orxgr; 5rfj7ts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uncertsn4 hmz-5+ se ofxf;my m4pt9 hi+s3m6aint5o hphns+;-44 6+szstm mf93yexm mify 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 massvu;49,:xqut0p d nphxm 5v6 xx $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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 errot. ce dwld;/n)r. Which of the following statements./d;len d)tcw is correct?

  A student measures a length five times. All of the measurements lie betwe1qxj .4pcoc( ren $18.8 \mathrm{~cm}$ 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 piec5qfh4 l(nf5,hrk-jif1xilx2 e that is 12.6 ± 0.4 cm long. How long is the rem2qiln fi(xr xf55-,h4ljh f1kaining 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 $\pm 6 \%$. 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 ± 1.5 cs3pa3ailt9jw i: e7 2N is applied to a mass of 2.0 ± 0.21 kg, causing it to accelerate. What is the percentagepsa 3i7 iw e2ac:3tlj9 uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of ae3h2 oid y 7y8r*sxb2wire is measured to 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) %