Which of the following could be a unit of pom oy/ eb* .mhj5ub7q s;c1 bcs*/wryi0wer?

  By approximately how many powers of ten is the height of a hu;l )-ezwiy enu35;qb cman larger than the height of a graiq;iz-l u5eceyb) nw3 ;n of sand?

  What is the value of 9 vyhk)r0/ cso37zn gy$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI :.tu;ry-o ydh9b5 bd xfr*6n ssystem?

  The volume of the Earth is un3bn-h;h11zxtj/c japproximately $10^{12} \mathrm{~km}^3$ 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 of heartb8+m, -8o az wlafz4oxm;duv 0peats of an averaop,+z; -auzad8 of8l40w mv xmge adult human in a day.

  Which of the following contains one fundamentalj06jo.xdyh )( xil -lj 2*zhpz unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer j*kvh k21c /)4tmd2 x-b2gwovsxpsi 1with the most decimal pjx xmiv-2ogs24bkt1cv1s wh)2 p /k d*laces?

  A car has a mass of 1000kg. A bagnjm1k/0sg*moy6d o*g- j+ mouse has a mass of 10g. What is the order of magnitude of the ratio between the massb0 jg mk -g/ojam dg+os**6y1n of the car to that of the mouse?

  A train travels $60.0 \pm 0.7$ meters in $14.618 \pm 0.06$ 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 8 6kuzav8 vs,h/rfz)ey(5d3awg ju/ eshape of a cube with sides of $3.56 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 ;k+7fi q6p k/klfhk:s d3uvw1 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 $8.5 \%$ 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 measured4id 8b6x7w m+q b9jhqe using part of a metre rule that is graduated in47jd bwqbh8+m96iqex 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 $5.5 \% $ uncertainty in $V$ and a $2.0 \%$ 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 i e -adokvhn,4;s measured to be $11.7 \pm 0.8 \; cm$. 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 $1.5 \%$ 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 xw0:zjvowbj q hva v f171/0p/estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differbhxo4b ob+jej7grq 2+(w74u7w ky gx7ence ($V$) across a resistor is measured with a digital voltmeter to be $0.15 \; V$ . 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 qu/i9xptptt j5- bjlp s-8tv.w /antity which of the following can be redus 85 p- pxtpbjtw/t i9lj.v-t/ced?

  A student measures a distance fourd.4mt7 pm ;gw51knkml times. The readings are 37.8 cm, 37.9 cm, 38.1ld5 n;7 k1 mg.wk4mmtp cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lemzgyn561 frdl* /8ykungths 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 p9zrxater*4y:1 0lyggpr )) l 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 quantity Q varies is plotted. T yg w yle:2s(/xsj 4ral7p/b2rheory states that P should vary linearly2r/ (byr74 aspgs2x/ ly:jewl with Q.

  The length of a pencil is meax 9qzfwz5,vvy 88k;c3g+-zg q tdz2mzsured using part of a measuring tape as shown belowzx38cm,v 8-2gfydzzqz;kq 9 t+5vzgw.

What is the length of the pencil?

  The masses and weights of different objects arrxvwd6 frb h*shmq+4(x /wr (3e independently measured. The graph is a plot of weight versus mass that includes es3dhvx+ fh4/bw x(rr qm(w*6 rrror 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 )lygn(5uzx.0t g kv-cru oa57the diagram shows the measug)5tn k 5ou.-vx(zuagy lcr 70red values 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 t9jnbh ov r3yl*qa9m75 8oo uv;fs 89tis measured with percentage uncertainty of 4%. The radius of the srl3*tvub ytv9maonq8o5h9 9; so8 f7 jphere is 4.1 ± 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 sfldv)q f 1pp012s,:zhehn5y ihown 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 p ;,d5 +9t 0ltyazoqdrtroduces the following results:dt lqtdzoy5+9t ;a,0 r
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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; n3qy-y xy0fft li*r rw8lv/7 measurement has an uncertaintyfxn8v0 r r7;it-wy3q *y l/fyl 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 skx a4fr wb:f)()tg 9y$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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. Which of,(cyz/ zrn73l)e ggmc the following statementzze rc)37m/ y,cn(lgg s is correct?

  A student measures avzaw v *n(.h8d 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 fromvo(jci :,det, a longer piece that is 12.6 ± 0.2od,ij vt:,(ec cm 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 $\pm 3 \%$ 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 ± 1.4 N is applied to a6slx + 0q v9(yunt+huc mass of 2.0 ± 0.25 kg, causing it to accelerate. What is the percentage uncertaintlvtqy c6h+ us0n 9+xu(y of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle 1a:bb8qlivgs h+38b gof wire is measured to be 10.0 ± 2.2 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) %