Which of the following could be a unit or:l6 m h,ogp0tt-.sn gf power?

  By approximately how many powers of ten is the height of a human larger than fi.w pdtu2;g5 the height of a ;i2g p.w d5utfgrain of sand?

  What is the value oft/ lygblkv/,scm/ro)9 8y fa6 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the Sx0j: d-gp,lp+9qm rgii6 4nmhI system?

  The volume of the Earthifn u 14p(zrr8wd/bfu5-ri m; is 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 nearest order of magnitude, the numberyd b5t2551u zee1f2tc bje,sa of heartbeats of an average adultjy2sut e,t5ecb z2d5 5bf1 e1a human in a day.

  Which of the following contains one fundamental unwnt/j qhlnn*5(*vvb b0+u)(ox:wqaq it and one derived unit?

  If A=10.0 and B=0.50, which calculation will give thsuj v :+nvqbnn sb )q(*)s+l+2gtceg6e answer with the most decimal )cnj+e(u:+v+s *26gs nbq nq gtslb)vplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is 0z9;tgzt ibrg gr46 jj(xya--the order of magnitude of the ratio between zjx-4gtit0ra6 y-(9rg gjz;b the mass of the car to that of the mouse?

  A train travels $47.7 \pm 0.5$ meters in $9.789 \pm 0.04$ 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-b0lzy,v:8:j y6m x s5hieyaf of a cube with sides of $1.92 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 ejch/gdlfd.d4e:q7 5 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 $7.8 \%$ 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 dkv r)kq)f81ir ): wzjs3wuy0is measured using part of a metre rule that is graduated in millimetres, ays:j1ruv fw q8rdk)3)i0)kzw 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 $5.1 \% $ 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 m2d rp.queqpm; 36 ge/.x /ynwfeasured to be $10.6 \pm 1.1 \; cm$. 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 $0.8 \%$ 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 j+i4ltp/myx3iq7 5lga room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differenx ;:,ppef4mwtt o :5cjcz/ef 7ce ($V$) across a resistor is measured with a digital voltmeter to be $0.45 \; V$ . 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 meas m ur+x:qm., ut7 32e3wzrglkvurements of the same quantity which of the following can be rz ,r2ml e+ ug.twxvqmu7:3rk3 educed?

  A student measures a distance four times. The readings are 37.8 cm, z:4:suerg5ts 37.9 cm, 38.1 cm, 38.2 cm. Whrst 4::u 5gsezat is the best estimate of this measurement?

  A student measures two lengths as follo+)c jfb-ac/g z.y j d8)9l1;ygf snjwrws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, :m1ftl,f dt:c8h9maod) 4e dea 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 as9duvpz 5q*s;g quantity Q varies is plotted. Theory states that P should vary d*u; 9g5pzvsq linearly with Q.

  The length of a pencil (rkpc tk- e4*fis measured using part of a measuring tape as shown below.-fr4ek(p tk *c

What is the length of the pencil?

  The masses and weights of different objects are independently measu:71gep -vb zcjred. The graph is a plot of weight versus mass that i:- bg71pejvcz ncludes 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 av ps: 2wpsy;po*v2 h/c4t,lr m4,jjv qre measured, and the diagram shows the measured vaqvmjvc4 hy2tp slo4 ; vpwj,*/:r2p ,slues 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 is measured with percentage uncertaint,fhn7 n6)qr 6i-zvtfly of 8%. The radius of the sphere is 1.2 ± 0.2 cm. What is the percentage uncertainty in the mass of the spherel h,n)6q-i r67ftz fnv?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:x*d(8wv cpdx(po3e )h
$$
P=\frac{g h^2}{u^3}
$$
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 bk-v5 p ilnqljam)p; 5f5zw4tb+6 d n d6v6md6due to gravity produces the following resu+a;5q)v lb5pl nv64d n 6pdm6fdt zjmwi6kb5 -lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 u*isn s pry mv :u1(y*) tpwj2)sq+ey3pncertainty2ys1jsppyr n e ywq3su*m:))+*pv t(i 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 se/nl jeejf :3*x05g7e gx2ao, ppa 6m$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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-nemkwdr *i*s-;x*hye ,agligible zero offset error. Which of the following statements is correc*iwkeam dx*; ,s*hy -rt?

  A student measures a length five times. Alloumu 6sr5;pa zh:af7(+u w nd0 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 ± 0.1 cm long is cu k fzb9+6dc)9cihn;sst from a longer piece that is 12.6 ± 0.7 cm long. How long is thei n 69hc) dkbs+9scfz; 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 $\pm 8 \%$. 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 ± 1.4 N is applied to ayxczyxlm f. t,r;x0- ; mass of 2.0 ± 0.03 kg, causing it to accelerate. What is the percentage uncer- yx zy;m0rx,ct x;fl.tainty 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 1, p(fk3zvb(vfc2z 2 sg0.0 ± 1.1 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) %