Which of the following could be a unit olflm 3p3j4 .m:.izq 77r lmbmcf power?

  By approximately how man517 tdlwa3zg dbp6 a,uy powers of ten is the height of a human larger than the d, 1gta bp376luwzda5height of a grain of sand?

  What is the value of j 6eq-wqh weqs-j)/ vgp5v0y+ $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI systemmt h+sdq j3r3jbk4 5-q?

  The volume of the Earth is approximatelwx7w z.-87xcyyy t1-p tyo;a ) ek5ncly $10^{12} \mathrm{~km}^3$ 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 nearejc;q n/nwnp 0:i 29 b/xq:kmtest order of magnitude, the number of heartbeats of an average adult human inc/ 9 n:wjn /bp;:xtqk2mi e0qn a day.

  Which of the following containx(dqnk ztk7fq-j* fzutbo0h:;v )4b :s one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will g n d)w64dlm l/hj5,pd 7+(g8giotdsex7bubd 3ive the answer with the most decimal placd l d ,lb/s83m7(dx7+jdp6gow hiu4 egtbdn )5es?

  A car has a mass of 1000kg. A mouse has a mass of 10g. ydfu-l i;nj36 What is the order of magnitude of the ratio between the mass of the car to that fui3d j-y6;n lof the mouse?

  A train travels $80.2 \pm 0.5$ meters in $12.607 \pm 0.06$ 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 shape of a cube with sides p /k.*mwa2qup of $2.18 \mathrm{~m}$. 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 of mr, 3z0.ugurb.k28yt lehc0u 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 $4.4 \%$ 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 part of a metre / ay k fd:7boq3*s3crrel m2.ws- h7avrule that is graduated o:rs -slfy2brv adk3eq3/*ah77 .wcm in 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 $1.2 \%$ 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 measukvr 6 dfhhg(e*a:*7au red to be $19.0 \pm 1.1 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $4.9 \%$, 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 sidein1 jtwibj c)0s3e1symk)xh5 g5:mtot6* h0i s of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 differe,lhlaw0 oav8i 4p2 q7jnce ($V$) across a resistor is measured with a digital voltmeter to be $0.77 \; V$ . 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 4yeb,6 2v5 mx9oi( 1oig esoxtof the same quantity which of the following can be re2soxo6e( 4,g x 1 5ivbmi9oeytduced?

  A student measures a distance four times. Twca 9ugfi67k1he readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.26ui 9a7gkf1cw cm. What is the best estimate of this measurement?

  A student measures two 8rjt9l ym4cqhfj,3q 8 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, a and b, are measu h+ oz8:c(hhi:r: dp( i7hwtjgred 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 aedyd iao5r2)usw tt4-o9y mjwzp-:io9, y 31rs quantity Q varies is plotted. Theory states that P should v,w sjozdiy34--uo 9ydt)oarrwey1m95i 2pt: ary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as9(ngdiies-ko zt*19p, uwzu . shown below. u.*91dktpzniez(i o9w, ug-s

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The izz09*nuj s(w graph is a plot of weight versus m0iw(n sj9zzu* ass 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 p1we 5sh-imyy ;late are measured, and the diagram shows the measured values wit-;h5w 1eyyism h 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 percentm0u. 5o9fcxhikv6ap)r: h zr 9age uncertainty of 3%. The radius of the spc:. 99mkouz65f a 0pr)hxvrhi here is 3.1 ± 0.1 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 show1f2euwn.i b6 lk/n zhz96.aren 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 gravit ki5nhb* 455fjkeh l:iy produces the following resulte jihki 45 fbhl*55kn:s:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uncertat( xt*eqn70l;qqlnzc v9 l d;9in0ve n97(l z;t 9txdqn *qll;qcty 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 0t34s q3 f8;lgwmto)* zs v-k +bjmdoz$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.0 \%$ 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 g88i.aap -nq,ptg5j n zero offset error. Which of the following statements is correct?-n a,np8 gtqj5ga8p.i

  A student measures a lengx;b.pqwtwh;m9s:/v b th 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 c mr6 ab l5sml n:0u)qyfp v4l3,rjk3/is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is the j br faq6:/mnl5lcy 34vsm0,3lp ru) kremaining 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 $\pm 9 \%$. 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 2j+)p9 k/)ongdv9vnyy:l q7qy.0 ± 0.05 kg, causing it to accelerate. What is the percentagegk) 7vyloqdy/99nyjqnp+v): uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measurez ex.n10mvkh* d to be 10.0 ± 2.0 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) %