Which of the following could beoxz uz/c;/ ))zxy kva. a unit of power?

  By approximately how many powers of tev +0 yaw299ebcdm(ylgb l*dg, vi5ft;n is the height of a human larger than the height of a grain of vcgi*d w09e d( fm tglyb+l9,52 avb;ysand?

  What is the value of rh/d :-x .wtvd$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fue5vxz sm lmr ic,)f( u1g3f,r(ndamental unit in the SI system?

  The volume of the Earth is appr .e)dvka .aj+xm. ,fnboximately $10^{12} \mathrm{~km}^3$ 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 j dd9+h zr;5lcof an average adulth+zjdd 9l 5rc; human in a day.

  Which of the following contains one fundamental u/yrs/0)s3 dzqsb;vuv nit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give t7ph2rhq j;)oghe answer with the most decimal plach)o; r27 jhqgpes?

  A car has a mass of 1000kg. A mouse ha 3n lrnw6tj 7q55* wq+2hzwjwxs a mass of 10g. What is the order of magnitude of the ratio be tq7w5w +jxn2 35hr 6qlw*njwztween the mass of the car to that of the mouse?

  A train travels $73.3 \pm 0.5$ meters in $3.182 \pm 0.05$ 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 cuer6 ml3-s7cmbi/ft4n be with sides of $5.16 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 sidem40uqrmm o m, nzle/y 5c*ge82 $x$ 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 $9.8 \%$ 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 is oq:7a8c-7s lo jd7r;fd2giibfh-fa9graduated infhlffirbg -dq-8 o7o aj7;d297c:ai s millimetres, 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 $4.5 \% $ uncertainty in $V$ and a $3.2 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is measum ;8; r+,06linuvyleia .x hpj +/ctt ghpy:n.red to be $15.4 \pm 0.4 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $3.3 \%$, 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 rof.(x ds7o12dirhdvn6 om 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 differek( q)9 dva3lgjnce ($V$) across a resistor is measured with a digital voltmeter to be $0.08 \; V$ . 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 quantity wez-v7hbeu*fkho781 y hich of the following can b 7*8y7oh-efbek1huzv e reduced?

  A student measures a distance four time q;j jf/n p5iz;itb g*wj8)dr0s. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best est*; n/wdpj;jtjibf5iq rz8g )0 imate of this measurement?

  A student measures two lengthsgy6je 0teb;z jcg 4le9q b5:,ld;m7lo 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 andrljs(t b, wmiug 9cd(9d/ i57r 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 states t gjzr:jh4h0b. hat P should vary linearly w j:hbrjh z0g4.ith Q.

  The length of a pencil is measured using part of a measuric* ,css8 zi h0e*zp:nung tape as shown below.szc:z0ps u,* n8chie*

What is the length of the pencil?

  The masses and weights of different objects are i:*irrxudh::fzh6x57rr yn/y ndependently measured. The graph is a plot of weight versus massh*5yyh :x u n7rd: r/:r6xzrfi 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 red-+w4opff h; fg irye+lk-ekvkg956:ctangular plate are measured, and the diagram shows the measured values witg-e o6w hf fi5 k:kg4+pdl+9k;-rfve yh 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 sphy-n-pu0 r / +bvtbqir.zoa ,;jere is measured with percentage uncertainty of 4%. The radius of the spherezaorn,.jv p;bq b +-ryut0- i/ is 3.8 ± 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 has shown t (-cv0io,yaryhat:
$$
P=\frac{g h^2}{u^3}
$$
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 gravity produces the z -+k8qssu ba5rt1l rnt+ lkiv)5yp):following 5:tsk 5 n+kp)b - tvlil) yu+q1zsrar8results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurementwvf gilmo z/a. :o.u23 has an uncertainty/ m3. :2iu o.wzlfvoga 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 mas3b+;7 gn 0 vjmqudn+p8jssn x;s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.1 \%$ 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 offse57hx) gagp7ay t error. Which of the following statemen x5y)a7pg7gah ts is correct?

  A student measures abni5v(d1jcqfg22 fwmi 3w ) *r length five times. All 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 ± 0.2 cm long is cut from a l1* ;sage7v scqonger piece that is 12.6 ± 0.7 cm long. How long is the remaining piece of 1sg;s ae7v q*cstring?

  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 $\pm 8 \%$. 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 ± 0.7 N is applied toxexe5 i6b05ob(+fy hweo95 ly a mass of 2.0 ± 0.12 kg, causing it to accelerate. What is the percentage uncertainty of its accelera w e0iy6 o5xe9xyb5(lfe5bho+tion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle odoak8 1-j7bwe( 4afkn 4jt d9of wire is measured to be 10.0 ± 0.4 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) %