Which of the following could be a unit of itw5lbt mge0 :i9.s h)d(ty y1:o l7jtpower?

  By approximately how many powers of ten is the height of a human la gt .(lqjimt6zakm 1+/rger than the he+ttz(k. /lmg1qja6m i ight of a grain of sand?

  What is the value of iho+p 6bm2nn3t le1ydx6o3 pyw b8g j; 4drk80$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following iop uux ++*zmw w7bi5l3s a fundamental unit in the SI system?

  The volume of the Earth is approximatewc(+ we +r8yfvly $10^{12} \mathrm{~km}^3$ 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 b-thn r.(3 /cjitcye3 wy,u d(an average adult humdy.-t c yj(e3/t(wh i,c3unr ban in a day.

  Which of the following ctpig 5:6raj:9l a*zwz ontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answerrx: 3jh rt5ik4 with the most decimal itr 43kh5:rjxplaces?

  A car has a mass of 1000kg. A -tztp zi7)ygd nkm0,1 mouse has a mass of 10g. What is the order of magnitude of the raty1pd0nzg k-7mt)t z i,io between the mass of the car to that of the mouse?

  A train travels $69.6 \pm 0.4$ meters in $8.041 \pm 0.07$ 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 sidd1vh mwth 53q,es of $4.89 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 squarx,ji qe5hi m0h* .cu;we 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 $3.1 \%$ 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 us.er)u a+ ueql0ing part of a metre rule that is graduated in millim )la q.e+0eruuetres, 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 $3.9 \% $ uncertainty in $V$ and a $2.2 \%$ 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 i78qf2rqv+ wczs measured to be $25.3 \pm 1.7 \; cm$. 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 $1.7 \%$ 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 ow4w 3r8tw,ia room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differerqx-c -ejj--ounr/8 tnce ($V$) across a resistor is measured with a digital voltmeter to be $0.71 \; V$ . 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 measurewt/ ,saf9rnf6 r df/k6ments of the same quantity which of the following can be reduced? n tdf/aw,r6r /6s9fkf

  A student measures a distance four times. The readings are 37.8 cm, 37.9 o),c4j rlm7py cm, 38.1 cm, 38.2 cm. What is the best estimate of this )pomy7lj 4cr,measurement?

  A student measures two lengths as followsu4, o+cy*da1brheo(ep +b 8ua: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured tolktgem0 3j + zbkmq317 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 quas7-1yia79z+idu(x s yj:hxrqc6iyf2 ntity P as quantity Q varies is plotted. Theory states that P should vary linearly with Q.cd :sq1izsijx797- ry+ h6 xuy2(fai y

  The length of a pencil is measured using part of a measuring tape as3xr,m,y eycgzg j zkprk */psqt799;8 shown below,pe7rmy *8 y/qtsj3zk,99grxpc ;gkz .

What is the length of the pencil?

  The masses and weights of different objects are ifuoge1*t ,8h .2jkdr endependently measured. The graph is a plot of weight versus mass eotf 2.rgk*8e duh1,j 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 recta/g,1 cm6bg-+ 0) vypihg6rdo kl6mllengular plate are measured, and the diagram shows the measured values with l-lkg+myg6ivo m606cdbr e1)l hgp/, 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 perce1(qdw4 *xugy+(hf4 wtmm)hn jntage uncertainty of 3%. The radius of the sphere is 4nwm4xt df *h4+1)jhw( ug(ymq .4 ± 0.5 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 hasfbsj).z5c/w4ygg fw- 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 k g-ef.m n/vm,acceleration due to gravity produces the followin/.-emg m vfk,ng 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 rulenr 3yb ,ht56dlr, such that each measurement has an uncertaintynthdl6 yr5b3, 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 masskg1 ebhlmw899d1 /tbl $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.1 \%$ 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-neglr*)lc5x tn f am5 )3vrws56z.lkjm9ntigible zero offset error. Which of the following statements is correrf.xj * l5m9t6 n3tcn)wk 5zm) 5lavsrct?

  A student measures a length five times. All of thl0)wv su, iy.3)qo qv5q *b8hzo(qi uke 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 chbff: dmy4uudy +.a lh13c4n4 m long is cut from a longer piece that is 12.6 ± 0.4 cm long. How long ifm.yuanhyb f3 c1ldd:44+ uh4s 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 $\pm 3 \%$. 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 ± 1.6 N is applied to a mass of 2.0 ± 0.07 kg, causin mla a71)s/jcre -s))bcmr l v(6;jolzg it to accelerate. What is the percentage uncertainty of its accel- orb);jjs e(c 7m/llc) lara6m v1zs)eration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is tu,l 8lb cd/.oqq-re6measured to be 10.0 ± 0.4 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) %