Which of the following could be a unxx 61glkaicq.jeij drr906s;i 578hqit of power?

  By approximately how many powers of ten is the height of a human larger fj4 ,2*8tzm x9avaevpthan the height of a v a *vaxp2t4zfm9je,8grain of sand?

  What is the value of yn :* 9i nvnzitfz.6-sy,ofairuq97) $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a funxw7p ok* foqwh,b*;l6damental unit in the SI system?

  The volume of the Earth is approximatelwazk*fz u *)y-y $10^{12} \mathrm{~km}^3$ 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, fvhp)w;cvld a:w -s9tf*i4 s heartbeats of an average adult human inv4d fcl,p:)wsf *v;it-9asw h a day.

  Which of the following contains one fundamental uni 1j dfp7nyw9h*t and one derived unit?

  If A=10.0 and B=0.50, which calc 3 ukx,( j/c )hpp.h3l7 idgk99jlfggeulation will give the answer with the most decimal plapk eg(j3hj3.)dclxlgp,g9f 9 u7khi/ces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the orde- e t,cc:ep g+ntt)x)f -3vttcr of magnitude of the ratio between the mass of the car to -t tec )fv,et gt:ccx n3+)tp-that of the mouse?

  A train travels $93.2 \pm 0.3$ meters in $6.306 \pm 0.06$ 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 shapx( -atzrtx5d3 q y37hke of a cube with sides of $2.98 \mathrm{~m}$. 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 buy hc 5u*;qnf,ase 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 $10.0 \%$ and $h$ is measured to $6 \%$, 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 i. hb ;a*o5g*uhu 0 /w/,cw*gic rzlckjs graduated in millimetres, as //5*jgw *w.c ch*aculk;rzihuobg0, 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 $6.5 \% $ 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 i -- xw7x8oqgzr7oh2mps measured to be $11.9 \pm 0.9 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $2.3 \%$, 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 estimat d,o oi,j:w ;rm3(9iqmowe sn)ed 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 difference gtd 6 rpvv,6 ptam(2xot5ofl(d x+w(.($V$) across a resistor is measured with a digital voltmeter to be $0.81 \; V$ . 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 oksp( znd* n4+wf the same quantity which of the following can be r s*k(nn wp4d+zeduced?

  A student measures a distance four cvgta 0+b tl1;times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the bestc0gtal v+1t ;b estimate of this measurement?

  A student measures two bv7 4a27.dcek5vm p650bb)rpvnd txd lengths 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 b* h.4zruhia 2 bb;dc*m, 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. Theory states tdjv48v 044f7rpbq :w: e96l dyekqkdzhat P should vary linearly with pq8yjvrbe07 6f94vlk 4dk dz e:wq4d :Q.

  The length of a pencil is metym1oih)j,7z r v0p nwy6w s)0asured using part of a measuring tape as shown below.07 )0 w6o,ynt rwm p1)hyszvji

What is the length of the pencil?

  The masses and weights of diffw*by+t/p n z (u5p9np5aam4lp erent objects are independently measured. The graph is a plot of weight versus mass that includeya5 pbpl4zn*mn9p(+a/wpu 5 ts 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 si xpva/(n +bkkgutwif;vt:dl2nt- 3.5des of a rectangular plate are measured, and the diagram shows the measured va+5tln/(pavwgbf: k . tutix 2-;k d3nvlues 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 g-b92*e*awjyq 3m 8wdhzd o7mpercentage uncertainty of 2%. The radius of the sphere is 4.5 ± 0.bw7eqg-3hmm9zy*jd 8dowa2* 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 has r,5e* h-wdbrc6kmk+ +bft8 k*u ps.sh1o+uhzshown 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 mk9 j*fx-:dkbh easure the acceleration due to gravity produces the follo* bhfd -xkj:9kwing 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 8kx*qjtbx.o e d0qie ;f3w7-hthat each measurement has an uncertaintyxet0x3q .d w iboe*j;q7- f8hk 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 massq .u6nmkwku u :h- e1qeuo*g3: $(2.0 \pm 0.1) \mathrm{kg}$, 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-neglx *2-b+(( fg kvk)vl-xmt2choupiq;ex0:jp rigible zero offset error. Which of the following statemenx( *-t r cvq ep0v-bkx(ip;u)j2k:ofl g+x2hmts is correct?

  A student measures a length five times. All of the measuremeni ,qplxm;t.1r3is+v tts 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 ± 0.3 cm long is cut from a longer piecebir( urvaprp 7vo88 )+ that is 12.6 ± 0.5 cm long. How long is the remaining piece of stri8o 8)brup(v v p7+irrang?

  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 $\pm 4 \%$ 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 ± 0.4 N is applied to a mass ckx1 :s7 wt6axof 2.0 ± 0.04 kg, causing it to accelerate. What is the percenx t:1sxcak7w6tage 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 ±- vzf)j6ksk2m 4ltye+ 0.3 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) %