Which of the following could be a uzy 4vuoa-c)dop2o 0v6nit of power?

  By approximately how many powers of ten is the height of a humcwomi h,5bu 9n ( ygm;*5wnwq:an larger than the height of a grain of ;9 qym*( boc iw,ngmh5nw:w 5usand?

  What is the value of t8dws9/2 -nivriu5n nvw 0e;e$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI hk1gw kdcn,7to7z*r3system?

  The volume of the Earth is app 8stxd.wdy7n7 roximately $10^{12} \mathrm{~km}^3$ 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 heart9;ag*apsx me. beats of an average adult human in a.ags ;e*x p9ma day.

  Which of the following contains one fundamental unit and one derived i8zj1nexr62: j x5g eeunit?

  If A=10.0 and B=0.50, which calculation will give the an 5 .tu3wr2-k orbjszum/7 7jjrswer with the most decimal ptwm 5r7/3uro7 rbkj j-.2jzs ulaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of m5+7q9 bmt ,il1skgjf oagnitude of the ratio between the mass of the car to5g +il1 9qo7fkm,bsjt that of the mouse?

  A train travels $58.4 \pm 0.6$ meters in $12.533 \pm 0.07$ 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 with side5 xdvva2*i;jw s of $2.81 \mathrm{~m}$. Each side is measured with an uncertainty of $0.3 \%$. 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 base of sidez p5n6iz ;s1kj $x$ 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 $7.9 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured usin) (zb+i s)0(;ioz qn uwa-taeug part of a metre rule that is graduated in millimetres, aste;a(i -oqau z( ))nsw+u b0iz 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 $3.5 \% $ uncertainty in $V$ and a $3.2 \%$ 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 measur;l.lozzf, a42 edl nd5ed to be $29.8 \pm 1.1 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $2.1 \%$, 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 essgc iaryn*y:4od 0;)op78wj nock y 01timated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 12 \%$. 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 differencvferku1 mju* a1: jv4w*-uvx0e ($V$) across a resistor is measured with a digital voltmeter to be $0.75 \; V$ . 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 w zleye18xp n292vr s+mhich of the following can be r9rlsz2y2p vx+n 18 meeeduced?

  A student measures a distance four times. The readings ay()bh-i uf)cc n a9-qbyc4 ey,re 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of bneic(hf-acyc))y, u9yb 4 -qthis measurement?

  A student measures two lengths as foll va 9s,jccgut88 +n1kobda,9dows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured f(uo24o.ym d gto 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(of2fp25g ln0c3jp7l pjk1 bm as quantity Q varies is plotted. Theory states that P sho 1 ppnjc 5klglofm2j302(pf7 buld vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as sqa+kx35 ci0f / vp)h-jni.cughown belowncc pgf. -kvu i/j0)5ah3xq+ i.

What is the length of the pencil?

  The masses and weights of different objects are indepenkomq: c 3mc m(/kx;n+vdently measured. The graph is a plot of weight versus mass that include;+km:omkc ( v3nxm /cqs 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 sidesy lr)-(kz 9i (v6sdqmp of a rectangular plate are measured, and the diagram shows the measured valuem zlsqv6 )yk-(rd i(p9s 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 sp p +hweyt-*q1pt cuu) l )n)8g7;jipnfhere is measured with percentage uncertainty of 7%. The radius of the sphe 7j )e pcfg )n8)uu1wlh-yi*tp;t+qnpre is 5.3 ± 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 shoom 9q:sukl dhfn52 8ic*ig 55own 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 gelbp(p*e18wt ravity produces the follo 1(t*beweppl8wing 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 that each measurement has an uncerwwwl;i u:dd)2c vo8k+tainty o) ;2wo: 8+uwdwv klcdif $0.5 \mathrm{~cm} .$

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(y o9tk6v0yr *jr n;: kb8wjrl $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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 following s vw5td 4q:jo5xtatements is corrxd54w5 qtoj:v ect?

  A student measures a length five times. ., 3 tjm ix,a a2lpck :lxd7gs8ds50xhAll 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 ± 0.2 cm long is cut from a loe8esc4k7b*uu s6 t y1ynger piece that is 12.6 ± 0.6 cm long. Howsyc6b 7s4k uue8*ty1e long is the 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 $\pm 3 \%$ 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 ± 1.2 N is applied to a mass of 2.0 ± 0.25 kg, causing d0qao , p)r,lzit to accelerate. What, dz),ra0q plo 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 isqc67pqc- ik6* :wdugj measured to be 10.0 ± 2.2 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) %