Which of the following could be a unup6qjt9 3pz- lit of power?

  By approximately how many powers of ten is the height of a human largwbt, 8j: t o0ir;x4sz08qycea ozve,+er than the height of a grain ofj00 v eszz oat:,xto88qcbe4+iw;y,r sand?

  What is the value of x). ai p1*nx8mz.zoaq$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental uhsyk +qz( 0om )ii,cgax191n tnit in the SI system?

  The volume of the Earth is approximat7ae6e fh,pd)w hr5-cs ely $10^{12} \mathrm{~km}^3$ 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 ooejnrh+emdsn;gx 4z/ /( y5-.kruuo7 rder of magnitude, the number of heartbeats of an average adult human in a dk+//mjsxe7hgz ;e(r5ur nu4-noy.o day.

  Which of the following contains one fundamental unit and one d kn16m :sh(,cy7- l.wvh9uncwjk 1 tdserived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mos7tr zrvg/*n,e t decimal p/ *, er7nrtzgvlaces?

  A car has a mass of 1000kg. A b (8c4,hh4:i1lo3rach6 xdnfyrt a; rmouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car t l4(1ir o hbtrc3fd 46c8rah:h,ay;nxo that of the mouse?

  A train travels $47.8 \pm 0.8$ meters in $12.567 \pm 0.09$ 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 cutf3 a zt6,*l2( (l7szwb*5np j egbtlqbe with sides of $4.06 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 ba( e+ nne,+pt kxp2g7base 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 $3.3 \%$ and $h$ is measured to $1 \%$, 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 rule that is grashej -pw8yozzjh8 h1r+ 98gu4 duated in millimetres, as shohzp8uj yoesz r4wjh8+-9 81h gwn 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 $4.5 \% $ 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 is measured to beau ra,.werl5epcc9x p8n 40h5 $24.9 \pm 0.7 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $5.2 \%$, 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 ar k w*os7-urxv/m9gnpw.6rm e0o6raw/ e 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 differenc jfoklfv5in2qi( *+80rc yix0e ($V$) across a resistor is measured with a digital voltmeter to be $0.68 \; V$ . 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 quant rtd/z qfi6q /mzi- p )b.(m.kd5ppv1lity which of the following can be rbpv5)mqt 1d/pf.i.(dkzpi rz/ -q m6 leduced?

  A student measures a distance four times. The readings are 37.8 /ea.:*q*s,o4psuru) tb57efdk k dse cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the b4etou7 s.**/df):s,5p eke a kdqbursest estimate of this measurement?

  A student measures two lengths av*9ax90 b9y0qe mv ar.y,tjjfeq *dx7s 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 anal/sf f-p /tmslxpq l1j,*d/2d 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 quantim6c 2,omqmi+bty P as quantity Q varies is plotted. Theory states that P should vary 2,+i6omm m cqblinearly with Q.

  The length of a pencil is measurev ;xw7yn +w .dod0,kguha9h5 id using part of a measuring tape as shown below .ikwwn;o u57a0vd x9hh+gd,y .

What is the length of the pencil?

  The masses and weights of differea(j q4 8mxi-+uxtgy: ynt objects are independently measured. The graph is a plot oygm-j iq+:ay (txx 48uf weight versus 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 lyisd,7t 8o.o of a rectangular plate are measured, and the diagram shows the measured values wt7o y o8il.sd,ith 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 uncertai(m.ysn t1eyy: ,mb(-ach b ib+nty of 7%. The radius of thm(byt+1(yb sney :i ,a-c.b mhe sphere is 2.3 ± 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 sh- 3u fg)le+frzown 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 produces the f/l,9kdpbh9v;bt ooy1ollowing y bo dpbl9k9/t,;o1hv results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 that8*- uvt 7stp ntuxlxxc 1s-5r4 each measurement has an uncertainty vxtt u -tcs n-sx7ul8rx*1 p54of $0.5 \mathrm{~cm} .$

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 b 0du.cuv;h do 5p5ij+w03v x9xf2elc $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ 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 tj: /yp,i6wzaa he following statements6pz,aj /ia:wy is correct?

  A student measures a length five times. All of the measurements lim:8tv bvz7 /hhe 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 ±r; ao+chvrx 2, 0.4 cm long is cut from a longer piece that is 12.6 ± 0.5 cm long. How long is t2or+cx ;ahr ,vhe 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 $\pm 1 \%$ 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 ± 0.9 N is applied to a mass of 2.0 ± 0.10 kg, causi enc)v /eqn36/hb9rnd;oea. nng it to accelerate. What is th o;/.d3c )erv6n/ aenn9ebqnhe 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 ± 1.5 05x .: *plf,i ahrbsahcm.
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) %