Which of the following could be a uniteev )+ 9 ozk1o3lkc+ vgy81nvh of power?

  By approximately how many powers of ten is the height of a human larger than t ybu+xoj 2(j8p.fd.r9n7 q tfthe height of a graiyt8(jx2j.t b f +rpuf79.nd oqn of sand?

  What is the value of 0djfy4d +n:6nr btycln6kl 0 /$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the S)gk7p2 r kvcy3I system?

  The volume of the Earth is app9y 6/6jeigcn 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 of heartbeats of an averb7o n(rk oaptejvb4) .(;bg0p age adult human ieb4 t v;p0(ka b.)j ob7pogr(nn a day.

  Which of the following containq /a(jun1, qhns one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mozc v+s8 ,4 b8abldxa5ost decimal p dbx8 5l8sab 4va+,zoclaces?

  A car has a mass of 1000kg. A mouse ha/v8o uebawl 8j/,+j,m csniq+s a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that o/ls,o8+amju c evwni8/, qbj+f the mouse?

  A train travels $62.5 \pm 0.7$ meters in $5.669 \pm 0.08$ 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 shape of a cubjo9yu-wu i 6f;e with sides of $2.22 \mathrm{~m}$. Each side is measured with an uncertainty of $2.5 \%$. 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 seq q+,63jndt zide $x$ 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 $9.1 \%$ and $h$ is measured to $2 \%$, 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 park2icihb + xqi+a8u3x *t of a metre rule that is graduated in millimetresi+ c*qk+ hb28aix iu3x, 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 $4.0 \% $ uncertainty in $V$ and a $3.1 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon26u2pncm/+ z9do je,pvmm+hl is measured to be $16.0 \pm 1.6 \; cm$. 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 $2.2 \%$ and the uncertainty in $l$ is $5.1 \%$, 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 room are es5kcjbe( p/ng3ak ;bxwhuzmr qm18+()timated 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 differa1cvpee.l-h i0;l4wfy 8s2rzence ($V$) across a resistor is measured with a digital voltmeter to be $0.26 \; V$ . 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 quanutfcld1n2cm,(gvj o) 7kc ..asn x94atity which of the following can be (ml,4as gcuc)ncdn7j a1tx2.9.fkv oreduced?

  A student measures a d-fan v 4en.wtpi2;-d jistance four times. The readings are 37.8 cm, 37.9 cm, 38.1 c 2;fw tn jen.-da4ivp-m, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lem)fzucz5 6nr911; wk/:wgp /vcyc kqbngths 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 b, are measured to bea6l .n ,*bdkjz $(5.1 \pm 0.1)s$ 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 v9ho0vq8y+mu o9 haiz e-m38nr aries is plotted. Theory states that P should vary linearm3ho -vzqren 8o 99 ya8mi+0uhly with Q.

  The length of a pencil is measured using part oh-63rob eg - k66 tgc/gal*qt,sab2sdf a measuring tape as shown below bogkd6hg,c 66at re-bqg/2* t-3alss.

What is the length of the pencil?

  The masses and weights of different object3plu4w s3 /hn (we9.k;nfebvwi iqa05s are independently measured. The graph is 45bv3/iwnlnww0eeh3 s;k9fpui ( q.aa 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 measu q3n6k. 8vfo;mjzvk,cred, and the diagram showzvv ,8k.;cmj o6qfn3 ks the measured 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 w/lp(vko gy v0/ cv:)his measured with percentage uncertainty of 3%. The radius of the sphere is 5.3 h kvo( cvp/:0y)/vgwl ± 0.3 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 hattl gt*, -f4aps 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 acceleratioa:+q a:ajq4 (lsgno,, hw-nsbn due to gravity produces the following res-:q (on,b,a n :+qas4walgsh jults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measureme qwb-09w g(awnbt9n1 :au k*mtnt has an uncertainnwt0-gbnb1 9m a(:w9qatuk*w ty 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 maskex4 mv7u n64hq 1qw; ob kjce43k1,lws $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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 zero offset err t wgj1esc0918+d ifgbor. Which of the following statements is c1gt+ 0sdge1 8bw icf9jorrect?

  A student measures a length five times. All of the /rx5dv/gxw l :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 fsh 95s4lrmm)p; sn 3alonger piece that is 12.6 ± 0.2 cm long. How long iss m9;)l 43apm5hnssrf 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 applied to a mass of 2.0 ± 0.21 kg, causing ise3zhdtu6m8smj5 v-3 5lnre/t to accelerate. What is the percentage uncertainty of its acce5vtm uhrz- dl/je s8s 6ne53m3leration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.3 cm4h +m)ms ulp5i.
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) %