Which of the following could be a unit of powhi20 s vv6dmv7er?

  By approximately how many powers of ten is the height o/75at74 o zj-jvksdui f a human larger than the height of a 7 jod/7sz54- kautvjigrain of sand?

  What is the value of bt,g3dih59sj j; d-uwj s9 7iz$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following isiusco+ *:s d,m a fundamental unit in the SI system?

  The volume of the Earth is appro/gkhsnf u y82*jfup6+ ximately $10^{12} \mathrm{~km}^3$ 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 heartbeats of an/d1 ysc zsv7lnw )m+ (1:wknew average adult human in lw sykdc/v1()7zwsn +n:mew1a day.

  Which of the followi0osmb6 n o;obi/)* hmbng contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the ans)e6 s/czj.g4 (( rwaepdu:tcx wer with the most decimal placescs p4)e.rcguj(z(e d 6xawt:/?

  A car has a mass of 1000kg. A g* zgzxz2 i75 w,robdp1* hf8gmouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of th xf* zhb i*8wpzgd,5r7o 21gzge mouse?

  A train travels $95.5 \pm 0.8$ meters in $7.975 \pm 0.04$ 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 of a cuj,myr kyq* f5c sql))9be with sides of $3.55 \mathrm{~m}$. Each side is measured with an uncertainty of $0.8 \%$. 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 side5-94u u ctaqnz,bpd.g-uq 2n c $x$ 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 $6.0 \%$ 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 part of a metre rule that isho83zit l8rbw hc 3icx* .n4y, graduated in millimetres, as shown beloxh48i i b lw,h3.yoct*zr3c 8nw.

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 $3.2 \% $ uncertainty in $V$ and a $2.9 \%$ 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,35i x.(llfv n7gztfxkq-(sx to be $16.4 \pm 0.5 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $3.1 \%$, 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 estimat2gc +0 ov+d8nijc ;iqzed as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 (ltkzr42 do :rq6gt.t +$V$) across a resistor is measured with a digital voltmeter to be $0.38 \; V$ . 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 quantityxqh1e8 w8z+ y rd6av,n hj.l s7/gw)dn which of the following can be re,8zw)e1a8.vsjd/ h yl 6rxhgwq+ n 7dnduced?

  A student measures a distance four times. The readings are 37.8 cgrl9c/qtm a8lf:i,mh u25+z gm, 37.9 cm, 38.1 crm5hu82g c:mz ,flg9lt+/iqam, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as;f)nj.iulzo: 0 xdo p)2h xka5 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 b, are measuredw x3z0ub5* xrd 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. Theory stazs0 )yy zc8:ev 6zt*zotes that P should vary lineayz6 :)08oyezv*zzct srly with Q.

  The length of a pencil is measured using partxc iht)k 44in xm8;o*o of a measuring tape as shown below.mhx)ic4k4inxot 8o*;

What is the length of the pencil?

  The masses and weights of different objects are independently measure/o0 y;qgyhij1d. The graph is a plot q jy;go iy0h1/of 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 measured, and the diagr8fplwe :; vy91mvicx 5b+f-bgam shows the measured values with theimy+pbwbl5 :;ex 81v gfiv- f9cr 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 5%. Tkf9qyutx4 dp:7gn4 w.uh l gour4v/)5 he radius of the sphere is yu5/.qndl :w4k)op tgu f h974v uxrg41.8 ± 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 habvvz,w0k b m5.s shown 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 accelera13mby*mws /yicul. nwi*fs;85 zwz9 ation due to gravity produces the following raws 91l z3*/.5 mwnuyz icbsyi8mw f*;esults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uncertai aqopc):-km)ikh .is b/+/lnwn qickp+)/: n a -oi/ksl.)bwhmty 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 massh6 /x gn+ 2)hpg7g*ezg+hopgg $(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero offset error. Which of the fow,6bawyid7a )ri: 01r, qopcmllowing statements is cr,y0 aw 6wa:,i o7qcdp)mbr1i orrect?

  A student measures a length five tdbgv pu7w- -2vimes. 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 ± 0.4 cm long is cut from a longer piece that i/jb7mcne(exwv ) , ww;s 12.6 ± 0.7 cm long. How long is the rejemcbw(xwe ) /7,n wv;maining 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 a mass of 2.0 ± 0.07 kg, causing it oujswz /52.ddto accelerate. What is the percentage uncertainty of its az jod.52s/ud wcceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle oft lhe +v4ghs)9 wire is measured to be 10.0 ± 1.0 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) %