Which of the following q- i1 b r 21v1r-0jol/svo2zouw2a khncould be a unit of power?

  By approximately how many p0yq 2b bdh7vaxyd..* c +u/o+wyxcw+fowers of ten is the height of a human larger than the height offyy*bvc+b d c2hw.+.qwy+ d 07/xxaou a grain of sand?

  What is the value of *x ;mo5c2mrwfxoa3y ($\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followi/o sxrg1)/(v gl944wdez i.d3jddne yng is a fundamental unit in the SI system?

  The volume of the Earth is approx9 q8pao(tcb: l9+ bnta(zsg/gimately $10^{12} \mathrm{~km}^3$ 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 heartbru3z(+csgx h*y qu z 0.w,9e w4*bunukeats of an average adult h,g0 4 ecrzunw9+ uh b.zq3uuwy*sk( *xuman in a day.

  Which of the following contains one fundamental unit and one d 5:05n5ba)rr hruzgu lerived unit?

  If A=10.0 and B=0.50, which calculatis9 um:sirjy3/ -5c ;fep5yymj wix ),bon will give the answer with the most decimal-y5/;ixr 3imy bujp m)fy:,s 5jescw 9 places?

  A car has a mass of 1000kg. A mouse has a masw:q(/dr wlr r ml97d14kzt1 o9+ iewdfs of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mous+e7rt1 lwwkd rldqo9wz49r1m fd /:(ie?

  A train travels $44.4 \pm 0.7$ meters in $8.070 \pm 0.06$ 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 sid :ekkz(;vh/va es of $3.55 \mathrm{~m}$. 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 sid9mmq 0 * dqm/ac b88329b uyns8zkdvjse $x$ 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 $7.5 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured u.hh.4,xsvl li 4v;8f tuitd1 ox1rk;esing part of a metre rule that is graduated in millimetres;ltsh4kf,.v;x 8 1 u lid.xoh1e4v rit, 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 $4.3 \% $ uncertainty in $V$ and a $2.1 \%$ 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 measuree-ewd5 jw d,)v ge ddzm4q7.9wd to be $12.3 \pm 1.5 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $5.5 \%$, 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 arqtg7 eu5 n1 d0ux1lqe3e 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 difference (cve :qn6:/ kt q6oxd6ssej3 n2$V$) across a resistor is measured with a digital voltmeter to be $0.71 \; V$ . 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 quantity which of the following (i3ys cntq1e9myo6xg/ d(rz0wf3 8 qnh2 y;l ncan be red imqde/xlyyy2fnno 0 9t;qs r31gzw63(h (8cnuced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, ,u:q(h,xjeh;ig 6 cc zvwv5 j138.1 cm, v6hhix1 jc; jvqg5(zwec:, u,38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths arox-k*, -tna 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 1/ v8 v56cahqyeuy+.b2p lnx bp0drr/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. The cau iys3ci:hjr.*7 2eory states that P should vary l: cs.32juah yir7*c eiinearly with Q.

  The length of a pencil is measured using paren(3l)ypihh5s.jz+nt +o km8 x79ea ft of a measuring tape as shown belowio.nhyale9(h7z +mk8 e5s +t3x jnpf).

What is the length of the pencil?

  The masses and weights of different objects are ind w+p-in0rlvu0 71ebvu ependently measured. The graph is a plot ofn0lvu p-1rb w+ui7ev0 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 of a rectangular plate are measurei ;51moxgsx* f/ yypeb8p.b+dcyc m92d, and the diagram shows the measured2op*s98gby5 my eb ;m+cyi fcx/ 1x.pd values 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 uncertainty of 4%. Thyl qi5oq4 c8/)1e(tih /oucsde radius of the sphere ity h8/ o)oi/ei(c dlc 4qs5uq1s 5.9 ± 0.2 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 that:3e.f8ha4q awu1 jhjknjr31i 6.kmkc,
$$
P=\frac{g h^2}{u^3}
$$
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 accelepz x+p: r7t8fjration due to gravity produces the following zt8pjp:r+x 7f 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 8 i8lvfahpws2nb ,76eruler, such that each measurement has an uncertainty bwp 78 ,i avfes86l2hnof $0.5 \mathrm{~cm} .$

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 mas zh*k6:x q(/po7snd yvs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.8 \%$ 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 offsh :vsdg8 c-.b fch:ah8et error. Which of the following statementss d.v:chg f8ba8h:- hc is correct?

  A student measures a length five times. All of the measurements lie betv.;-kh rqol t,ween $18.8 \mathrm{~cm}$ 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 ± 0.3 cm long is cut from a longer piece that is 12.6 ho9geb v *m,wjclp.d,;u ez77 ± 0.6 cm long. How long is the remaining piece of cw7z p;,* e.lm,hgjb ov9u7de 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 $\pm 4 \%$. 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 ± 1.3 N is applied to a mass of 2.35d-:8y xpfi xy q8kwz0 ± 0.03 kg, causing it to accelerate. What is the py y-i5xk3xfzq8dw8: 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 ± 1.9 c zrfan42sb o zf27;6wnm.
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) %