Which of the following could be a unit of pvx0vc q7q iyb qysjp)88 p /wlm963h/power?

  By approximately how many powers of ten is the hecr-x 1eg7m9g,kz/ yahight of a human larger than the/c mg1y xgzk79- er,ah height of a grain of sand?

  What is the value of yma/0 kp ca-aq:*y /gt+v isi0 z7bgpg1n6ph.$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SIk1zk5y pst3b 2t0 qq lu-5s3ls system?

  The volume of the Earth is approximur / mpe) -tf;agdf:,h:zdnp6opj/ 5eately $10^{12} \mathrm{~km}^3$ 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 m(a5p; l+vnn fa5k-kzt agnitude, the number of heartbeats of an average adult human ktk5n;n v(ap5+l-azf in a day.

  Which of the following contdyn *7s i/guq;pcs+.gains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, whh3 p5 :eogmig -ugjnblbz9 /xr1f-r;9ich calculation will give the answer with the most decimal places?gi/ol-grbrbgz;n93jf5pxu h em1 :9-

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order o qtq qwco52 6)dh2:e4b-7nnpysn; xzd f magnitude of the ratio between the mass of the car tocz4t)5xq2:o d;b qn -s hnq7n2w py6de that of the mouse?

  A train travels $69.2 \pm 0.3$ meters in $6.863 \pm 0.08$ 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 qag(3yerv3 w 1a/*ta ishape of a cube with sides of $4.44 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 squausx )ef/g9ign hp66-x re 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 $5.2 \%$ 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 fzhwwy,.a son8j yzh+07p f8; using part of a metre rule that is graduated in millimetres, as shhzaf.fn07oz+y w h y; j,sw8p8own 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 $2.4 \%$ 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 mej ji+8h /e7penasured to be $19.0 \pm 0.6 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $6.5 \%$, 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 of32 061 3bkfpdnkp)pm uafsj8 l a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differencwr (6xmp; d:rye ($V$) across a resistor is measured with a digital voltmeter to be $0.78 \; V$ . 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 scd4e 3z3r7.w r3iabfxj7qy4bm9 :hyuame quantity which of the following can be redi4 3y7qy4j7bwm3 rf.zbe u3x dhac:9ruced?

  A student measures a distance four times. The r6ibye axlc nhn6/1q*c,ju1p b i6p9 9zeadings are 37.8 cm, 37.9 cm, 38.1 c9pb lu* ji16nb eiax96p czq6y n1/h,cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lennm:xd93)gd qbgths 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 eventpzsqu9)p7 2e4 vm h )s3woh:vvs, 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 stat9g fx q7ka7ynj xlh2:,es that P should vary linea7g: y2xaxqh7njk,l 9f rly with Q.

  The length of a pencil is measured using part mqgu5b d2-yo4hwt*7y of a measuring tape as shown belowq7- w5ghyy b2dmtu *o4.

What is the length of the pencil?

  The masses and weights of different object /v77cbt)re c63satmfs are independently measured. The graph is a plot of weight versus mass fmtact v) 7br6c37se/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, and tha)thhkf8w k1 hqrf+,9z44 qp le diagram shows the measured values with their unchh1k8wp q+klh4arf 4 ,)fq9 tzertainties.

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 ise9fuv c0b27qf measured with percentage uncertainty of 5%. The radius of the sphere is 2.8 ± 0.3 cm. What is the percentage uncertainty in qfu027vebf9 cthe mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown tha)hv:y.e1vhz; )9xt9no ( occzqt *yc st:
$$
P=\frac{g h^2}{u^3}
$$
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 to guz 9e+ o-wp9vqravity produces the following w9eou-z pv9 +qresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 r( 1 :l9ye9s p,orqlkr th(drr4uler, such that each measurement has an uncertainty of plr ,t4rohrkesq(d 1 9 y(:9lr$0.5 \mathrm{~cm} .$

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 o.0 ww /1mazn36a8mwc iw)z zrs5ieq($(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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 error. Which of the follo)x*-dgmu-i l5m ce xln/ qvf3j-pjm21wing statements is cor umf-jcnxm*3 5l-qdj -v) mlep21g/ xirect?

  A student measures a length five times. All of the measurements lie betweensx/063z(t zleqo: ifv $18.8 \mathrm{~cm}$ 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 l .f7y)r g7ftx9mp /xdeonger piece that is 12.6 ± 0.5 cm lo) p/7ryt9x7xgef. mfdng. 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 $\pm 10 \%$. 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 ± 0.3 N is applied to a mass of 2.0 ± 0.12 kg, y:9j7ke9odr3 0 khcgmcausing it to accelerate. What is the percenyo39j9md7c: kekg0r htage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be xx 8vx20f9ney 10.0 ± 0.8 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) %