Which of the following cowo3/u2 8eki 2u:enkbruld be a unit of power?

  By approximately how many powers of ten is the height of a humaw (v z5wskq.1yocxr*:n larger than the height of a grain of s:w.q(*z v s rkocx15ywand?

  What is the value of 0n/u6o +toljr$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system?9ug ))pr 3 /sckgju9i,xhp* wew.3sjf

  The volume of the Earth is apc+b 6tz byk:xil 6mhbi+8;7ec proximately $10^{12} \mathrm{~km}^3$ 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 oflv,x:k.b2 b ng heartbeats of an averavgl2x,kb: nb.ge adult human in a day.

  Which of the following co5;h6zs)czvohg dm ad2 -p6lbb *c.0rl ntains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculatotfn1t+y r- 7lion will give the answer with the most decimalrn 1 oyt+ftl7- places?

  A car has a mass of 1000kg. A mouscmkv24+ /diia.qgp 6ge has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to a/ p.mgcq4k+vg 6i2d ithat of the mouse?

  A train travels $74.8 \pm 0.6$ meters in $15.330 \pm 0.08$ 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 spl:+ m;x3an0dfcn r x vw7.ru u4q9.knhape of a cube with sides of $2.34 \mathrm{~m}$. Each side is measured with an uncertainty of $0.9 \%$. 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 squar9e 3/o bgup2nf2ly) sqe 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 $8.7 \%$ and $h$ is measured to $1 \%$, 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 thatc a sg+9ecybd 5yz5w5 g8: o7lb5xxfw. is graduated in millimetres, as shown bb x8 5ew9a cx.fd75 g yzygw5b5clos+:elow.

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 $5.1 \% $ uncertainty in $V$ and a $2.3 \%$ 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 measn4s 1utxjd ;j(ured to be $16.4 \pm 0.6 \; cm$. 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 $1.4 \%$ and the uncertainty in $l$ is $5.9 \%$, 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 b-+su;ps .pc cof a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differencxme,rfae sj9e47z- *h e ($V$) across a resistor is measured with a digital voltmeter to be $0.69 \; V$ . 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 quanb5adk e4cnd;: tity which of the following can be rbd:k;aed4c n5educed?

  A student measures a distw / q,ns4x5mj/leei)y ance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this s xw4)m/eliyejnq /,5measurement?

  A student measures two zfud ,p-ql4j)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 eventg;28wt8 nryfnqq 6 4jx2f)daolk6j.ys, 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 plotte;o(z6v s* z mjd.,y:94iynl lkiyo ou-d. Theory states that P should vary linearly with Q.6lmy dz.z*okyno,9:ys4 ;(o-ul i vij

  The length of a pencil is measured using pa/o 8-+1h ehte gxe z+;pwops6hrt of a measuring tape as shown below.s /weeo+-ht;+o h pp 6e8gx1hz

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grap(z1,p 2ai327rd7 mk onfccqmz h isn2fm3c ,7pmd2 aoiq7rz 1k(zc 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 rectan(bvik2tb ;2 ictjh a2/gular plate are measured, and the diagram shows the meit j(ki/v 2h2b; abt2casured 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 percent pmn4k3dk *)gu u/e-ebage uncertainty of 7%. The radius of the sphere is 4.5 ± 0.4 cm. What is the percentage uncertainty in the mass of the eu *db u mk4k3en-g/p)sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown ty7) 8(o6b k33hzh4j(lr clqmw2ug fuhxa,5muhat:
$$
P=\frac{g h^2}{u^3}
$$
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 accej9f5zu4 ya )egleration due to gravity produces the following resu g4zju)ay9 fe5lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 eacob0mq.w y ,apf9)d hg4h measurement has an uncertaintyqfm ha.w90,bg ) y4odp 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 b0(g0 wr wki2qyx)x+ns $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ 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-negligible zer tp88 zdvi8j)ny,1mgro offset error. Which of the following statements is co pji 8v,mtryg1 z)8dn8rrect?

  A student measures a length five times. All of the measurements lie between islm3piwyp+,, u6hs 9 $18.8 \mathrm{~cm}$ 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 ± ksdl:+tz, -3ts z a:tn0.1 cm long is cut from a longer piece that is 12.6 ± 0.1 cm long. How long is the remaining pient3k tzz:: ,+l-stadsce 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 $\pm 4 \%$. 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 ± 0.2 N is apgsct p2. 7,ceyplied to a mass of 2.0 ± 0.03 kg, causing it to accelerate. What is the percentacsp y2.,c tg7ege uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle o or6/.zn69lq mr g;ii pbwei n*5s85evf wire is measured to be 10.0 ± 1.3 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) %