Which of the following could be a unit of powe s0.x9 nok.bkls,,ia vr?

  By approximately how many powers of ten is th zhm,5*x- upyxympv(( :wtdl 9e height of a human larger than the height of :px-5uhmp*yz y t(v(w,9dml xa grain of sand?

  What is the value of 0 j 9hnvas;nv)ri tw42$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the /*siq( 8yha.m8vkf d7h .jkgt SI system?

  The volume of the Earth is app.a6lg wa;* hocroximately $10^{12} \mathrm{~km}^3$ 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 numbyddr dck a58x3 ft 5;av7-(wiz ls5-zwer of heartbeats of an average adult hum;w-yd ( ksz5i5af-xa85tlc vwr7z3dd an in a day.

  Which of the following contains one fundamental unit and one de h6u4oed8vs6f0b..rnfyylm3 rived unit?

  If A=10.0 and B=0.50, which calculation will give thdc 5 dz 4o-v5)xertjitm8x)-p e answer with the most decima5dej - o8r d-x5vczxtt4mi)p)l places?

  A car has a mass of 1000kg. 0 )j,rqxs2wg oa) em o*m1tyb+ b/mxj;A mouse has a mass of 10g. What is the order of magnitude of thembtjm xxer) 2*oy, /1o; 0+sb)gmaqwj ratio between the mass of the car to that of the mouse?

  A train travels $72.6 \pm 0.2$ meters in $10.206 \pm 0.03$ 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 sihyxiz12z ( ekh10s,syc1bq1p des of $2.82 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 ot8 91zciynp-yv ;v 5wside $x$ 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 $6.9 \%$ 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 is me2ory/ 57ybvxgo h o (n;8pwkpv8kd2m7 asured using part of a metre rule that is graduated in millimetres, a2moyh(;7nkv v x 25pp/ork8gd8w yb7o s 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 $4.3 \% $ uncertainty in $V$ and a $1.8 \%$ 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 me q4gi k t.ds2yb3z75bzasured to be $25.5 \pm 1.3 \; cm$. 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 $1.4 \%$ and the uncertainty in $l$ is $6.5 \%$, 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 (ik62o5zq ajpa room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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 (aaa7pv 0 f)wvzo +oj*5$V$) across a resistor is measured with a digital voltmeter to be $0.49 \; V$ . 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 )pwm4 j5rq,6 7 sbqdqhz y:6arthe same quantity which of the following can bq7)j :rr qz,4qyd 56awp6bm hse reduced?

  A student measures a distance four times. The readings are 37.8 cm, ebz(zs8f :f6z 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurement?zff bszz68: e(

  A student measures two lenak0oa;;iabl. gths 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 evesnt7agn-a ce; ( kd2-tnts, a 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 *3kpoyk :p/ tz0oh18 soprb ns9yf.o ,1easy;P as quantity Q varies is plotted. Theory states that P should vahsybo01p . t,eykp9ykzns : 81r*/oao f3;psory linearly with Q.

  The length of a pencil is measured using part of a measur4m ohr(72mt28s icnfhing tape as shown below. 4rt22chn s(mi7ho8 fm

What is the length of the pencil?

  The masses and weights of different objects are hxs*ntrp.-- w;*udgn ,( sykm 42 sddcindependently measured. The graph is a plot of wr*u(- x2g- d;d*ms yn,h snd4w.sktcp eight 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, andvabd-4 /t,+lid.sbibxn) 4yh the diagram shows the measured values with theid-) /athn bdxy ivb.ib4l 4+s,r 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 jc +pfa+avrvn8-f*q 10qj dh j9b2e5wsphere is measured with percentage uncertainty of 8%. The radius of the sphere is 5.1 ± 0.3 cm. What is the percentage uncertaiq-a9 0j+vd 8n2 *jefv+r pcqjh1b5f wanty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown t7bga:*p6iu p jyi4y5 yhat:
$$
P=\frac{g h^2}{u^3}
$$
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;hvag1vyqz:2)x +n*) g sjypr produces the followinrny sxq)p1jgg:av2vz);y *h + 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,(b) pps 0c*mgbs8:iuw such that each measurement has an uncertainty o*bipb08c(p:msw su) gf $0.5 \mathrm{~cm} .$

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 massbpmtb/b prym+f- vx3mf,+5a3 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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. Whic bp103 zaa.a6ban3q:mrkp2 bih of the following statements iqz30pmab bkb:62pa 3ar1 na.is correct?

  A student measures a length five times. All of the measurem,n-t+u pl )unhvcly0o z 0474zp w;ndhents 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 ± 0.3 cm long is 07nw ts/:oktt1r6hnm cut from a longer piece that is 12.6 ± 0.6 cm long. How long is the remainost7hr nkmt6 /w: n0t1ing 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 $\pm 7 \%$. 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 ± 0.5 N is applied to a mass of 2.01q jih 8l/wxxzohn) /p(2 wb4i ± 0.02 kg, causing it to acceleraj4iz//l o1 xnwh bhqi )p(wx28te. What is the percentage 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 ± 1.1 cm2xo2tyqicm+l(t)p 1 b.
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) %