Which of the following could be a uniim.unf1bv0 xnu i7,s7jou ;z:t of power?

  By approximately how many powers of ten is the height of a human l8o0.xiufhp9 t arger than the height of ai9fo xu8.h0p t grain of sand?

  What is the value oftgy++ 5/lo2omoc im/0ohso,y/g r t*byct, 6g $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following inst ho3/ wq:4is a fundamental unit in the SI system?

  The volume of the Earth ;x)r xer*yw:s8y an (fis 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 near (:a1. vkmy q8dtuq7,qyyi-zxest order of magnitude, the number of heartbeats of an aver,y:u tqxyqi m-1zy.qv k a78d(age adult human in a day.

  Which of the following contains one fundamen x,y lksi d lr1a1bg,4oz-dl98tal unit and one derived unit?

  If A=10.0 and B=0.50, whew g;4oph)a(d ich calculation will give the answer with the most decima ehgp;(o4)awd l places?

  A car has a mass of 1000kg. A moxbw wacn r*/wzru a* 417z7)yause has a mass of 10g. What is the order of magnitude of the ratio between 7/*a z *wrauw xw)74c rybn1zathe mass of the car to that of the mouse?

  A train travels $62.6 \pm 0.3$ meters in $9.466 \pm 0.07$ 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 sidesol+yg6 ;rr4yd.9bd w q of $5.09 \mathrm{~m}$. Each side is measured with an uncertainty of $2.2 \%$. 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 squareha zgmn 8au5.3 base 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 $3.5 \%$ 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 partvk7r git pfdayqb3q4r31,f)7 of a metre rule that is graduated in millimetres, as sgrki31af 37y )b,r7fvq dqpt4hown 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 $3.3 \% $ uncertainty in $V$ and a $2.7 \%$ 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 to 3e) gc iss(0yybe $19.1 \pm 0.7 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $3.6 \%$, 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 lrs49s1cc6;j b/v jhq a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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,q/5j7 nu dkq +tm25k7lu dhaj ($V$) across a resistor is measured with a digital voltmeter to be $0.51 \; V$ . 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 wht*t65i,; gtcdcchmut fy** z6 ich of the following can be red* tfmtzt* ui5d6;y hgt,c* c6cuced?

  A student measures a distance fg97 t.b2elny lrgc:8;*hjvz four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measure8f7*gy .e hl:c2z9vbg ln jr;tment?

  A student measures two ltug,ckon9u5mb k- (a1bzo/4 xengths 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 u/fc.sbu 5m3x zi7 8drb, 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 plottedkjdx9,*nqrm3 /k 3vq m. Theory states that P shoukqm rnvmx*9dk,/ 33jq ld vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as sho7 j)ptjte)2 oyg7 rw5xwn below.epj 7g57)2rtxw )o tjy

What is the length of the pencil?

  The masses and weights of different objects aohmr.(. 4;agi fl oab1re independently measured. The graph 41ih.;o gmlfb r .ao(ais a plot 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,,.tqg cuck*bt5alq)i59lfpii b 8 *7b and the diagram shows the measured va98 t)upkqqcacl.57ibgi,*fb 5itl b*lues 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 measurnkkt7q/.z c: ied with percentage uncertainty of 5%. The radius of tqckt:zi7k . /nhe sphere is 1.2 ± 0.4 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 :l j;* wwaof)ythat:
$$
P=\frac{g h^2}{u^3}
$$
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 acceleratiwpsxrk8h ::l40 zy9fm on due to gravity produces the following rekpl89z4whx mys:r :f0sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usiy/fnu3xs65ycr 1ixzje *7gi-ng a ruler, such that each measurement has an uncertaint63j1/x-yuyn5 * gcz7ei srifxy 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/rdi0qmn f,4r xuo( 6is $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.2 \%$ 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-negzz.1 gqy* (kmzligible zero offset error. Which of the following statements is correct? z(*y gmqzz.k1

  A student measures a-e nd9l *g l:-iyf/suy length five 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 cmv d6s- :08j3;yooa5.e*snwb kcnwvrm long is cut from a longer piece that is 12.6 ± 0.b6wj*cy3o.ve m s0vd8 -wkr;a5sonn:8 cm long. 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 $\pm 5 \%$ 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 applvh cx3* ucm5n0j/; m5jkjoy+ aied to a mass of 2.0 ± 0.17 kg, causing it to accelerate. What is the percentage uncertainty;c0 /uackjj5+oyhm nj5vmx3* of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire it0 u mrg2r:y/ks measured to be 10.0 ± 1.2 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) %