Which of the following could be a unit of powgi(h*l3sy-3bi q4pjwe) q /tber?

  By approximately how many powers of ten is the height of a human lay4e/s;dwo yc:f 3d6 lzrger than the d;yy/odce f z:w4 s6l3height of a grain of sand?

  What is the value of 4taicd 8za6 5u/kbe6k$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamwfor9z. 2a sj-ental unit in the SI system?

  The volume of the Earth is approxi hyv/wmi;v 16,og cl uhz-zik+ns938 dmately $10^{12} \mathrm{~km}^3$ 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 heartbeatsy +.zr8qe an7s of an averae q8a+ys7.znrge adult human in a day.

  Which of the following contains one fundamental unit and one dg0fyohhm kn3wau 6t)7; 13pcyerived unit?

  If A=10.0 and B=0.50, whny/pirvc nblh 8:i76 j6 )gcd6ich calculation will give the answer with the most decimal h6jdr: /cic6)i8nn 6vbg pl7yplaces?

  A car has a mass of 1000kg. A mouse has a mass of 1o i;5(utc:stvw: + vkq0g. What is the order of magnitude of the ratio between the mass of the car to kwtsc;uqiv ov +:5t:( that of the mouse?

  A train travels $86.8 \pm 0.5$ meters in $10.575 \pm 0.07$ 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 cubdj. 8o78fhcn5 xzse* ae with sides of $4.11 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 sideumabery p.0x8c-xa 3kl1y3 g3 $x$ 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 $6.6 \%$ 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 using part of a metre rule that x i/,s2 iwux.mis graduated in millimetres, sxmui,wi2/x.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 $3.5 \% $ uncertainty in $V$ and a $2.6 \%$ 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 me 0 wxh 02vsid2x*,eug 0pgc+faasured to be $21.1 \pm 0.4 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $5.2 \%$, 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 y4 6kv9n moe/8skto8y8tfo/2e0j cu was $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differenc8u1j,xy /5eliaq;oxt6g hg)he ($V$) across a resistor is measured with a digital voltmeter to be $0.61 \; V$ . 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 s95yjjch xd82 nuk -2opame quantity which of the following can be reduceu2cxd-82 hoj5 kpjy9nd?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, xd2i f2ao* 1yj03n gdm38.1 cm, 38.2 cm. What is the best estimate of this m1 id3y0*o2dgx2 mfnajeasurement?

  A student measures two lengths as f/txg42/u2r;uv sbgc bollows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are3 jtf40z4b zpqvbo8v, 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 akhgus:nwu0hd6 3-8fjjqt s( 8s quantity Q varies is plotted. Theory states that P should vary linearfqd8u8(t6wjg-usnh: j03h s kly with Q.

  The length of a pencil is measured using part ofn2, nty sik6,d a measuring tape as shown belowskd6y ,t2nn i,.

What is the length of the pencil?

  The masses and weights of different objects are indep8zoic7h5 lex4anv9c;endently measured. The graph is a plot of weight versus masi 8nxeh 9z7c ;o54alvcs 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 y8: z5d f ib g*/qt-gzybt2i5qmeasured, and the diagram shows the measured values with their un 2zb-t: yizdq/i5gb*tgy 8q f5certainties.

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 percentage uncertainty of 6%.xj+vx),o - rx,alq*bn The radius of the sphere is 3.3 ± 0.4 cm. What is the percentage unceqx,j- )xno,*av br x+lrtainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown cwbh2y:t2( m(liktj3b9lg fd)4) b xzthat:
$$
P=\frac{g h^2}{u^3}
$$
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.uamq lr-:gq -fus(3w measure the acceleration due to gravity produces the following resul :usrfu3(-a w.qq-m glts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 h+t-j xt9aa gj ,y..bn9jo -vnkas an uncertain 9g ot9nv ab.j-,jyjkn-.a +xtty 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 mass ) mho w 8zhig -v:v-:m/(jwfhce7c+ph$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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-5 ncs2nfmd7h: negligible zero offset error. Which of the following statements is correc275cfs mnhn: dt?

  A student measures a length five times. All3 io*huz)k bp5 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 ± 0.1 cm long is cut from a longer piece thac7-sjars +.(7z kjzh wt is 12.6 ± 0.6 cm long. How long is the remaining hj-7 +wz sj zks(r7.acpiece 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 $\pm 7 \%$. 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 ±l /)p, am 9wqtub y;2ag4bvj 4fkn82hn 0.24 kg, causing it to accelerate. What is the ; 8/ lm2a9ung4ptbv4 2yjnf a),bwqkhpercentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measurv(w4re2hfk cu5t7 v9cd95v rz ed to be 10.0 ± 1.4 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) %