Which of the following could be a unki)rbptp3* ) xit of power?

  By approximately how many powers ifqkb ny9 *f:f 1zcei,k;j 2i1of ten is the height of a human larger than the heightcb2 iyq fkfn1j9 ;ek:*i,1f zi of a grain of sand?

  What is the value of3yzha l z)ioic6+yp:o+ka+,m mws 31 j $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in thx o7gk 5q--qc+53ugnhcu ci 1wal m:l(8d(yd ie SI system?

  The volume of the Earth i/o4::id mrx ei1bmrl 3s approximately $10^{12} \mathrm{~km}^3$ 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 neareukm m:5m x8*opst order of magnitude, the number of heartbeats of an average adult human imxp: 8mumk*5 on a day.

  Which of the following contains one fundamental un gy2or ovo:)b fgue xx9i/qw: ,u6rmaf,605egit and one derived unit?

  If A=10.0 and B=0.50, whti 7*xw3xwxgxvr58++x)ml2mkev s b* ich calculation will give the answer with the most decimal mxxwb t 5gr+lkxe*8m)ixwv +sv*x327 places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of magnwckj(+ i,dk p)itudekpdi, w)c+kj ( of the ratio between the mass of the car to that of the mouse?

  A train travels $68.5 \pm 0.8$ meters in $9.572 \pm 0.04$ 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+w:9 5dfyowqo cube with sides of $3.94 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 kk66oj+:sj wywz2 /pg base 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 $8.4 \%$ 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 measuregxgfkii,o/*8 vns,c- wzs1 .rd using part of a metre rule that is graduated in millimetsf, gv z8 -*w,x/cs.kinor1g ires, 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 $4.9 \% $ uncertainty in $V$ and a $1.3 \%$ 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 measbjn4;n r.hks9in u/ hsrpl)j5r( i3 9pured to be $23.2 \pm 0.7 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $3.0 \%$, 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 emmdep; k;p( e+stimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differ c6oi(/x8hzf-:x y3;ytcwlrqence ($V$) across a resistor is measured with a digital voltmeter to be $0.68 \; V$ . 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 measurgle78m.4t8q v aeij*aksl;7 qements of the same quantity which of the following can bellqa tjei; q7.mvs 4*e8gk87 a reduced?

  A student measures a distancq/69n ub*h iblx2w 8okci +2kae four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thi62aowiq9u bch k2li k*+nx/b 8s measurement?

  A student measures two lengb2 9pu wrd (o.a;7pl)n-x3xa(nc dbhhths 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, are measured to ncyq 8y*z- pb ryl g)g6 y*9z.66xtviybe $(5.1 \pm 0.1)s$ 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 cmon.atk16+h varies is plotted. Theory states that P should vary linearly with Qk.t1cho n6ma+ .

  The length of a pencil is measured using paqk nc()z yd+l 9c1pl-ert of a measuring tape as shown below.+kql)p l (en9 1yz-dcc

What is the length of the pencil?

  The masses and weights of dif)nm dh ,og4q-sferent objects are independently measured. The graph is a plot of weight versus mass thagq,)-dh4 nso mt 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 an- qbuaa3 nt+ kp6b+3d rectangular plate are measured, and the diagram shows the measured values with theib3n+knubt+d6pa a 3-qr 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 w2g gn,l,qs2;8ymzh3sb mz, 9k .gjwcuith percentage uncertainty of 4%. The radius of the spherenhyl, sq9w;m2.8gbczgu,g,m sz2k j3 is 4.4 ± 0.4 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 shown that pqw;ye+v9lxf cq8 6+y:
$$
P=\frac{g h^2}{u^3}
$$
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 prodb6 6cxxrg 7n5iuces the followin7bx65ng i6rxcg 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 usingrtov8z,ru/ .uds7g5z a ruler, such that each measurement has an uncertaintyu 7,zzt8 rs5vdr o/.ug 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 mas ws -/bneyh8z ex:im9w,r3* wes $(2.0 \pm 0.1) \mathrm{kg}$, 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 er )u gaj9o5xe t)lh)mr:ror. Which of the following statemtlmr)eau jo)gx:) 9h5 ents is correct?

  A student measures a length five times. All of the mxc9 3ji cxit:736 toqxeasurements 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 ± 0.2 bwok.* u go upa92 5(a.ydm tp538ptxccm long is cut from a longer piece that is 12.6 ± 0.6 3pa.t ot pw.mku a82o*bcx( gup9d 55ycm long. 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 $\pm 4 \%$ 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 ± 0.1 N is applied to a maspdh+ p(pbs4)9 xi8,lo knnp x+s of 2.0 ± 0.15 kg, causing it to accelerate. What is the percentage uncertainty of its acceipsop9n(n+) d , xbkx+4p8hlpleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 hf5;7dyen+xz-rj +s s ± 1.8 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) %