Which of the following could be a unit of p3, qbnyn uq .z(2hty41rsmmdy7* tmw/ower?

  By approximately how many powers of ten is the height of a huivbokj psp5b 06/; 7dgman larger than the heights;p jbk/6b7 ov0i p5dg of a grain of sand?

  What is the value of2 hpg.bgpb0ood( uf 6yvkb;y-3r7d.b5s ze e( $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamentrgie,41ef7y* ltj,af al unit in the SI system?

  The volume of the Earth is approximatelx 6og3ei5qxzx(wy6i hx.y2n9 y $10^{12} \mathrm{~km}^3$ 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 heartfeso23+tmu3 6 r)g kqs*lwad3 beats of an average adult humasw3 s 2fem3rtd g3q6l +*)aukon in a day.

  Which of the following contains one fundamental unit and one derived uney66 n8b )bwgqit?

  If A=10.0 and B=0.50, which calculation will give the : q3psflrop,-,tx vw e- wuu24answer with the most decimal plrv4t3s ,ow-fq,x:l ep-2puwuaces?

  A car has a mass of +p7l.c fc5hb 6ky) n3tqjkca+1000kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mouse? lphck.c7yca+)q +f35bnj t6k

  A train travels $65.3 \pm 0.5$ meters in $4.007 \pm 0.07$ 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 witz h*tg (z2(d6ofsv csw-ya rs5v(b;/kxw r.e,h sides of $2.19 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. 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*y( btj64fyk e 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 $3.4 \%$ 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 measured using 3n+4gj 3m7yff ecpk 5cpart of a metre rule that is graduated in millimetres, as shown 3+gfc4f3 ypk ecmj75nbelow.

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 $5.7 \% $ uncertainty in $V$ and a $1.7 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ball-i:dv8:-6txqp1teq6jlb)v5m mpk j toon is measured to be $13.2 \pm 0.4 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $4.4 \%$, 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 estimated as p: lmyl,)c+5 ywlq 5ke$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 (2qnwm ;oa-qd7$V$) across a resistor is measured with a digital voltmeter to be $0.79 \; V$ . 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 i3h gu:f7 vl+nof the same quantity which of the following can be reducv in3f:u l+g7hed?

  A student measures a distance kp t pbpaj+d)77*e2v,bm2zzxx0/p stvv+)el four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is th pvkx 2+ )eevt,2+xbs *z)7lv/7zpdpjmtbap 0e best estimate of this measurement?

  A student measures two lengths as 8xwx0(gscss/g 5 gu,x 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 anbso3hx k:--u gd 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 quantityhsf2rg *q vci pfm )y5n0+8:tg Q varies is plotted. Theory states that P should vary ln +fgpcv s q8)5h2y0mtr g*fi:inearly with Q.

  The length of a pencil is measured using part of a measuring tape as sdhedjjq.;4(3 dxn :vu,fdd)bhown below..3 ejx dv()ddddqbn :j 4,;fhu

What is the length of the pencil?

  The masses and weightv zibdvrtt 5v1/:ji3ia.:xq 0s of different objects are independently measured. The graph is a plot of weight versus mass that includes erro: z:rbd3 qi ixtvvvat.0i/5j1r 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+p m-e opshcwm 4e7(g) plate are measured, and the diagram shows the measured values 4pmpm+hwo7s(g - e)cewith 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 measure,,*c ob gvzdz;d with percentage uncertainty of 6%. The radius of the sphere is 4.6 ± 0.4 cm. What is the percentage c bz*d;zvog,,uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown sd d j4y)4ekg(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 z(m nym-4f .ehto gravity produces the following results: mhm4y.-n(zef
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uz.n)tx;mo0xpv *muswj( i(f 0sing a ruler, such that each measurement has an uncertaintyzp0ux0; xvf(njw io*st )mm( . 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 mass24glzj1 xq+o)ic ,6+xgx p rci $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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 followin1ay02k: oay -rweg-:udtrhg 7 g statements is corr:r7ygea o 2y:h-u tda kr1w-g0ect?

  A student measures a length five times vg b8n-nn3l y lpyor+6p.78el. 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 frmr,t)h-zui uf; 5z7h xom a longer piece that is 12.6 ± 0.3 cm long. How long is the remaining piece of stringf7 rhmu; x,5 -hui)tzz?

  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 ± 0.2 N is applioc0pyi nc2i*ox1*i) ped to a mass of 2.0 ± 0.09 kg, causing it to acceler ppcxci*io0iy )2o1*n ate. 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 ± 0x v(l hi)wn.ke9d7sz9 .5 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) %