Which of the following could be a unit o)gxoi+c 87;smagqb g0 f power?

  By approximately how many powers of ten is the height of a human largerm s/a4mof0;:zs ry4nr than the height of a grain of sand?r :;ma44f/ nmyorssz0

  What is the value ofb v: *.zpkki(f5j3m kr $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following g() oq aza6r2p(3ky ; araod8uis a fundamental unit in the SI system?

  The volume of the Earth is approximately 7jkqy8 nl d,q9y;q *eg$10^{12} \mathrm{~km}^3$ 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 k7yyp-o2lsp3b o m 13eof heartbeats of an average adult human in a day2 ps-ok3e7o3 ylyb1mp .

  Which of the following contains one fundamental unit and one dg7n fgbc 3ja)+erived unit?

  If A=10.0 and B=0.50, which calculation will give the answrroai *hsxw; eu:0j*,er with the most decim,*ise*a;w:u0rrx hoj al places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order qh m.pb /ku-1 ::oucpvof magnitude of the ratio between1u.qcm/p :hv o p:-buk the mass of the car to that of the mouse?

  A train travels $36.0 \pm 0.6$ meters in $13.987 \pm 0.09$ 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( l 7w *)/8-rvr:ldwvha u z0qmaryzh980fltb with sides of $4.26 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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;t n:: w/uf g.yrve 6d(gjnv/(jx dw9b 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 $9.4 \%$ 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 part o3ou hy)3q u4ruf a metre rule that is graduated in millimetres, as shown belowqhuuo)334ryu .

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 $3.1 \% $ 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 isi*tgtp f;ad29m(bc bmwsw)1 1/;srfh measured to be $27.1 \pm 0.6 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $4.7 \%$, 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 ov 3b szh-b d;69gc qk04.g4i,x tuyi1n3hhddyf a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 differenut-d; hyx.km2mw +y/zce ($V$) across a resistor is measured with a digital voltmeter to be $0.24 \; V$ . 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 measureglvl ,+(r k8kdments of the same quantity which of the following can be reduc8(dgk +,vl lkred?

  A student measures a distance four times. The readings are 37.8 cmt q*/ pbjlk8+s vhl;3m, 37.9 cm, 38.1 cm, 38.2 t8 3qlk+vjlpmsb/h ;* cm. What is the best estimate of this measurement?

  A student measures two lengthsxayx 7 qeeqdc+, gu79( 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 an 4c.yh*z yzp faf5 ),qzg97fatd 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. Tpt;. (gghw3s fc fn *ib(*e0rktyp6j/ heory states that P should vary linearly 0s jpepg(3 yf6fbt .c(r*ihn w/gkt*;with Q.

  The length of a pencil is meaq279neuv4h0hdfd)ixmmk7l 0 sured using part of a measuring tape as shown below.h9d0ke qx)hv40l7m 7 udif2nm

What is the length of the pencil?

  The masses and weights of different31bc x /9vhvut objects are independently measured. The graph is a plot of weight versu /v3tu 1hx9bvcs 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 rectangul7,b( 0gfuli9itwe (skwywzqdd : ,1k9ar plate are measured, and the diagram shows the measured value d d,lsb9wy,iqww019( u (t zkg7fk:ies 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 m+lfcsks -.xz (easured with percentage uncertainty of 6%. The radius of the spherkl(fx-.sz s+ce is 1.6 ± 0.3 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 t,, m- hw8snr+d: pg5rsyo2s wbhat:
$$
P=\frac{g h^2}{u^3}
$$
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 mib*;yv*- p9md jfekl ;easure the acceleration due to gravity produces the following resul jlf*;-eyb 9mk vdi;*pts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 us:q8np:xoj.o nn c.+ rting a ruler, such that each measurement has an uncertainty n njcqor.pox.: 8n+:t 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 masse0o7zr 65bohs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 the followinj xj*rpp j677kg statements is corr 77prxjj6*j pkect?

  A student measures a length r6yr f/ 2 sd-tat;hjl,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 ± 0.1 cm long is cut from a lonc (h /gnm(ej9d-y)p glcaajb-4a9j k *ger piece that is 12.6 ± 0.6 cm long. How long is the remaining piee9jljna/gp (mb*g9( dca ha4--) jkc yce 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 $\pm 3 \%$. 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 ± 1.6 N is applied to a mass of 2.0 ± 0.03 kg, causiz1sr2x. ,8q q*nk5yn8czhaa jng it to accelerate. What is the percentage uncertainty of its a1nn ,q h8za.crq*8jy5k2 axs zcceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is mebtxw,g bl:a-swf: * b0i6nyv0asured to be 10.0 ± 1.6 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) %