Which of the following could be a unit a( ,janzph70bof power?

  By approximately how many yhj2 iz2p:rr*6mt1om powers of ten is the height of a human larger than the heiytm1j*2i:p 2mr 6horzght of a grain of sand?

  What is the value of9 l-4:rq:lvm komf( ly $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system?7b lhuo+; auz/

  The volume of the Earth is approximatn. m 5e)rboxv1ely $10^{12} \mathrm{~km}^3$ 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 o qx:sf lm9+)wvav69 hjf heartbeats of an average adult human in a mwv996)sl+vh jx:afq day.

  Which of the following contains one fundamental unit and one derived (v)ph88b)xpsk ugvi* unit?

  If A=10.0 and B=0.50, which calculation will give the ae:x z e:a1dp:gnswer with the most decimal:a p1x dg:zee: places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of ; 5/fxsi(llbzmagnitude of the ratio betwes(/l z blfx5;ien the mass of the car to that of the mouse?

  A train travels $45.5 \pm 0.6$ meters in $14.819 \pm 0.07$ 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 side8etz h qtnzd-s0 ;j+fp0q+:ces of $2.71 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 ocq/n ( vs-+j.u nmvr2df 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 $5.4 \%$ and $h$ is measured to $6 \%$, 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 part6sq i2s1;/knjo,4 pzkz o9hun; -ufwh*fel :b of a metre rule that is graduated in fuz26 qfno e4k9zhlspjh,;b - u *i/;ws1nko :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 $6.0 \% $ uncertainty in $V$ and a $2.9 \%$ 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 measurh8 z.3+vij0ss7 reonva + 1wdted to be $21.9 \pm 0.8 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $6.8 \%$, 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 as1 c 2g2i 5ht9 05mnuesbksfi9h $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 vaqkg tqw-- jp2h7m)*($V$) across a resistor is measured with a digital voltmeter to be $0.64 \; V$ . 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 ofrhs**hl7p5 i 3lo5pek the same quantity which of the following can be r s ehr* 5*3lhp5kploi7educed?

  A student measures a d l8hoak9q unj9n7 k1q3istance four times. The readings are 37.8 cm, 37.9 cm, 38.1kn9 3u1aolhq9jk n8 q7 cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures t96i 51y hrpptr9o jygd-i, ;wewo lengths 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, wd.9m q qcd 8stha1-;l fvs2;ka 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 qw2lk7)gah,f.r9d v qr uantity Q varies is plotted. Theory states that P shfdh l9r .)g,7rk waqv2ould vary linearly with Q.

  The length of a pencil is measured using partj6n9yjs0 rwoxq, ;r24.w gzs p of a measuring tape as shown below2r;z, sx 0r yjwgwq4jpon.s9 6.

What is the length of the pencil?

  The masses and weights of different objecl 8 r2unbgg;z,ts are independently measured. The graph is a plot of weight versus mass that iz;br gl2g 8u,nncludes 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, and the diag+wgc8 *wod0ym5+ ygz dram shows the measured values with their uncerzcw g ydmyo*dwg8+5 +0tainties.

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 measrs b1i37bi 1 f 7qejcgb7*n-xltmh9l; ured with percentage uncertainty of 3%. The radius of the sphere is 1.8 ±;j7irg* bxs3qe9b71 ih cf ltn71m-l b 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 has shown that:ox slw7ha7ib28 m8gzen e 7.n/
$$
P=\frac{g h^2}{u^3}
$$
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 accelerationn3f/ aakdrit dq8:y7aw p /nx(poi)1- due to gravity produces the folloxqpd o :7/- ati wf)nrai( nkydp18a/3wing 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 meas v.zgvk+h*w: durement has an uncertainvh .:d*w g+kvzty 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 u w* nblqp+80k$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.5 \%$ 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-negligibl,)f pdqb y9ledv(u1h +e zero offset error. Which of the following statements is f,udl 9dp(vq1h)ye b+correct?

  A student measures ar4b4x2i;6nx bnfa6d to8p 0 zx(ee 9th length 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 cm long is cut from a lon3c7gne rm5.qxk9 hdfm;-xs k 6ger piece that is 12.6 ± 0.2 cm long. How long is the remaining piece ofx;m7cr nkg6h5s93kf q. x-d me 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 $\pm 8 \%$. 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 N is applied to a mass o7,he d9beaeh* f 2.0 ± 0.10 kg, causing it to accelerate. What is the percentage uncertainty o*dh,7 hb e9eeaf 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 ± 2. a zxw(n5+;kqde/t)l1n5nhhn 3 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) %