Which of the following could be a uni vn g23/ftdby1t of power?

  By approximately how many powers ofc5ck.lqaq6 0q ten is the height of a human larger than the height o kaqql6 .q05ccf a grain of sand?

  What is the value ofoc,kz h 5z vcx9;8q;.bgz,l unb64vbb $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is b+uebln) uo0(p vwbm3s -pb)q2m89) h5gguufa fundamental unit in the SI system?

  The volume of the Earth --zta y h y:ra +)yn.)tgtx4omis approximately $10^{12} \mathrm{~km}^3$ 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 orderkv 0.b xyo,:+dpf:g mjx*. kun of magnitude, the number of heartbeats of an average adult human in dbkvyk:xu.*mongf0, p j:+.xa day.

  Which of the following cod)+b*tor 0 ,lbix 6xocntains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give h1dpt( w+wd6xb8zt7 5j4 l m(f9kmpwtthe answer with the most decimaw(tdz(t9 fk7x5 p+ 64hdmj l18 pwtmbwl places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of magn ybj9*kvy-efl:gt h6:itude of the ratio between the mass of the car to that of the mouse?j6ythg:l v k9fe-b* :y

  A train travels $66.2 \pm 0.6$ meters in $7.996 \pm 0.06$ 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 sides of (p* yvso)irs9-bv 3jz$3.30 \mathrm{~m}$. 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 side rk 4dz 7,* srq(llo/ai$x$ 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 $5.7 \%$ 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 meas9a7 :cvqet7n4xxslt a e7pz 14ured using part of a metre rule that is graduated i e4cxl: 7avs4pext9 7qtnz a17n millimetres, 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 $3.6 \% $ uncertainty in $V$ and a $2.5 \%$ 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 measuresslgv1+yjz *pi 87m: id to be $25.1 \pm 1.2 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $3.4 \%$, 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 a fvtic6(+xfj)s $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differencemh4e yeu(eg0k8siz 8. ($V$) across a resistor is measured with a digital voltmeter to be $0.62 \; V$ . 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 fo-i7y89m5qma3wd yw k fllowing can 5ywq9 fm8y3ak7-i md wbe reduced?

  A student measures a distance four times. The readings are 37.8 cm, 7psnht/zf;9mwv zv+.37.9 cm, 38.1 cm, / +.;pvnmt sv97z fzwh38.2 cm. What is the best estimate of this measurement?

  A student measures two lengt/daf3xpe w3g 1hs 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 an4ygz fvrg)1(zoaud no*9d kxg7 ( ;m9xd 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 , fmkv f l; qcl,4rludr8mbry 3:l:t69jac+ (ris plotted. Theory states that P should vary linearly with :ll ,+m r:8c3vr;6cdrf f ( mlb4q,kurljtay9 Q.

  The length of a pencil is measured using part of a mea9:tb s4wr6daw txbxrusc/c 3 ,:fe u.3suring tape as shown below.srt4u3br:d t6c39xfsw/ uwcabx. ,:e

What is the length of the pencil?

  The masses and weights of different objects are independently measzkc *g d2x ,htyjp+6a5ured. The graph is a plot of weight versus mass that includes error by ,5 jkdch6+ zgxpat2*ars.

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 diagram s*gw.noas 0 1dxhows the measured values with their uncertainties*na d 0s1gxwo..

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,i) fk q;p,i9o0kmkrk4c1q nd here is measured with percentage uncertainty of 2%. The radius of the sphere is 2.1 ± 0.2 cm. What is the percentageq q,9i mkdkk0i)fo4 1;kcpn,r uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:n2rh :(pxgly wx +4s;a
$$
P=\frac{g h^2}{u^3}
$$
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 me fnw fo r r/5n7,;9n6qfim4pwnasure the acceleration due to gravity produces the followingqwnmn/64i,f5r 7o9;f nwrnf p 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 measuremen3 8ihaqmf5gow+* db 8yt has an uncertain*5di+m3 yfq8awo8 hbgty 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 mas a v5o7yy q 71ti0kwe3bt2re7ts $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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 tkw+ 4qgu/g(q iqtt /l:he following statements is correctqlk( :+/ w4tqu iqgtg/?

  A student measures a length fivedwky 6-dob k:h;jem.az ): 7oo times. 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 ag l49u-/ua0tzc xo *dw longer piece that is 12.6 ± 0.5 cm long.ocg-tdxa*0u u z/9wl 4 How 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 8 \%$. 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 ± 1.5 N is applied to a mass of 2.0 x59xz f9djzgx t5fx 2+± 0.16 kg, causing it to accelerate. What is the px5fjf+9xtx dzg2 5z9xercentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle oexb f qq*uyw9-s:+ s5cf wire is measured to be 10.0 ± 2.1 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) %