Which of the following could be a unit hdm:70vd7 arm t5k.9gad3 jeeof power?

  By approximately how many powers of ten is the height of a human largeru l8kz8d:rhnhi+ d-7a81 p.cbfp9 sv f than the heig9pf-.ulz f7 :hi +hsnkdv8 8dcprb18 aht of a grain of sand?

  What is the value of ez hp09 ed zp9j82p.(5 jtnqpq$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental u cr7n)k ;bv8-ihu ,htdnit in the SI system?

  The volume of the Earzlkfui yx5tr3 /1,v8 gth is 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 order of magnrh pq ,t76i6vt,pzcd( dx,) gsitude, the number of heartbeats of an average adult human iqicz 7d6p x6,)(dpt, gvsthr,n a day.

  Which of the following contains wa(, l/fjw -vaone fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most de 5;2ip,v p28k)/s iud kkdvmyycimali;y k2s d)pd,/m2ukvypv8k i5 places?

  A car has a mass of 1000kg. A mouse has a mass of 10g.h d2mgexyt4.3 What is the order of magnitude of the ratio between the mass of the car to that tm4g.2edh xy 3of the mouse?

  A train travels $98.5 \pm 0.7$ meters in $10.259 \pm 0.09$ 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 shagyi6sbi3b4 ;5fgjlf.cjqw 4b(7 *fu4c a qqw) pe of a cube with sides of $2.17 \mathrm{~m}$. Each side is measured with an uncertainty of $1.2 \%$. 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 square base of 20p kosytd,m2*y7mo.qu n s+dside $x$ 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 $8.1 \%$ 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 using part of a mekukq3- )ipz, etre rule that is graduated in millimetres,u kp-q), ezi3k 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 $5.3 \% $ 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 ballm+rpam 9 dxhy8mo -8-e +ayr5doon is measured to be $25.3 \pm 1.5 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $3.2 \%$, 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 /wos h(-wb/l. n/jn*erym/noas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 difference (e) (wy/em.e(;q; ut(yrtg kiq $V$) across a resistor is measured with a digital voltmeter to be $0.09 \; V$ . 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 measurementgl2u(aj 8rm; 8jzyp w,km1lj9s of the same quantity which of the following can be reduced?lgjuz,j m 2k 1mpy9lraw j(8;8

  A student measures a distance s ocq e52wp.a+ h2 lch7df;-pqmox;h 4four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. W;q4c2mdcphlh;fs7e o5 h+w 2p xq.-oahat is the best estimate of this measurement?

  A student measures two lengths as follopp;gvg4usii3m6*7 9owka i- 2lr ;ki bws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two eveicio,y o meg 7/ 2.,d7kjz1daints, a and 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 is plotted. Theory staz(m9tlql e/m(tes that P shoult/ 9(lm(ql mezd vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape a;iz9otss- vd g;pl5, us shown belowt so5p9zs;,lug;- vid.

What is the length of the pencil?

  The masses and weights of different objects98)dpgad: tur are independently measured. The graph is a pdrd:ga 9 8utp)lot 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, anb.z0l t*pco -asl8 /hld the diagram shows the measureda lzh.8*pcsblol0 /-t values 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 percentage uncertainprwk y;7it+5 8zgz. cvty of 3%. The radius of the sphere is 5.3 ± 0.4 cm. What is the percentage un g5 v7wz ci8r+yz;.ptkcertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasm6vs11 hckqu: 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 acceleration due topwdt s+a-p 0o) gravity produces the following res-+)p 0sdt oawpults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 t7 d.xgzhqj/m9( tjj7 mhat each measurement has an uncertainty9xjg7mz qjt7. mhjd(/ 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 mas5;9tux -jz imns $(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zer fhx9if y l,o b/wpq/f0;904mmh3mziro offset error. Which of the following statement f yx4o9 0rm ,mi0i/qmwpf9lhz3/h;fbs is correct?

  A student measures a length five times. All of the measurf x inqyqk4.1 nyz e,22dda10 ete:jm5ements 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 cm long is cut from a longer phr,ctk9,bvp7u y i7 ay3zxr +6iece that is 12.6 ± 0.3 urryyah7p 9 bt,x3k7 i6v+,czcm 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 $\pm 2 \%$ 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 ± 1.3 N is applied to a mass of 2.0 ± 0.16 kg, causing it h vh y15i s8s*x.e:pufto accelerate. What is the percentage uncertainty of its acceler sp8h1*5vui sy.ehfx:ation?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ±o1fvv lg5j*p(c+d:i- -pb .yovy-mz k 0.6 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) %