Which of the followi+qatz+*h; rtf:5f nof/ e9g i0v 5jeyvng could be a unit of power?

  By approximately how many powers of ten is the height of ge3o an1m.bp +a human larger than thepa 1bemgn +.3o height of a grain of sand?

  What is the value of lcukjd +6yt9/$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundampzbke npx5 h/ dl8(. )o4akh;uental unit in the SI system?

  The volume of the Earth is approxi 2 zbep)+w zj ;3bvq5pjviic2+mately $10^{12} \mathrm{~km}^3$ 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 heartbeat 1ist/b(cr*mz4/ fbn ps of an average nizfc/(/m sb1brt*p 4adult human in a day.

  Which of the following contains one fundamental uod556hzu( ie5ppj hwg p(698 wqh(pmunit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the cq- *(vi-nnyi most decim-vin- n*yc(iq al places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the orde5t 9x,-fqnn wjr of magn9tqnw nf 5-x,jitude of the ratio between the mass of the car to that of the mouse?

  A train travels $76.8 \pm 0.8$ meters in $14.603 \pm 0.04$ 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 s b+wjj69(b wg ;w7yxnvk,;grrhape of a cube with sides of $3.25 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. 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 sided *j(zs4ucda5 $x$ 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 $4.7 \%$ and $h$ is measured to $4 \%$, 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 jrci6,u9uh .ba 5(upu is graduated in millimetres, as shown belohup,u5b 69aujuci( r.w.

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 $4.6 \% $ uncertainty in $V$ and a $1.0 \%$ 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 measured )hqq0s c7l,q xto be $24.9 \pm 0.7 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $6.8 \%$, 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 estimxu 8 l8ek)ftq 9.tj: u8sush.gated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 differeq,+i 0*snww lo;7jsga8nxz0 unce ($V$) across a resistor is measured with a digital voltmeter to be $0.37 \; V$ . 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 w1ry7drakv r, 3hich of the following can be reduce731arr rk v,dyd?

  A student measures a distance four times. The readi-4pn0c 1i+da,va y5yhg ytai ;ngs are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Wv;yi0-g ain a 5+a41tpcdyyh,hat is the best estimate of this measurement?

  A student measures two lengths ass;ajgi) elj,; 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 meas m 3xacn88fqld),:atwra, da*p k:,6mb+pqxnured 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 statesl55 w/udx3tt)prhuu 3 that P should vary linea5 3htp ur/)uwx 53tuldrly with Q.

  The length of a pencil is measured zlfj2a4b*et eady g0w.y+9h.p c-kw4 using part of a measuring tape as shown below.kfwpj.cy l.44 bye+e2h9g*0 tza w a-d

What is the length of the pencil?

  The masses and weights of different objects are independently mea iuj*mx r-krs:s(q+ (3 h,;j vyxqo1pxsured. The graph1xo*(sqx (k+rm hu:,jsr -x jvi3q;yp is 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 rectangular plate are measuexbj z m:u :s, )wn-x6 8hbtj-,a)fajared, and the diagram shows the measured values with their unceu8jjsh) 6,e,x-a:zjmb) ata fn x:w-brtainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid spher7 wq 0muz+ib:8lehl6 ge is measured with percentage uncertainty of 6%. The radius of the sphere is 2z6lh8b+u:w e0m li7 gq.0 ± 0.1 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 sja7/8w* vwuq 4x./dbvbqio5e hown 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 to gravity4xojktg( wr*z) 8b5z x produces the following r 8j)( t5zx4grx* owbzkesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an uu;naud0. kh:j; 8 phvhncertainty of0hvhup8 .hnja:dk u; ; $0.5 \mathrm{~cm} .$

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 )66 awwd 6ebeh6edu(c$(2.0 \pm 0.1) \mathrm{kg}$, 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 zerogy ;j :alt jj,6nh)hr+ offset error. Which of the following statements is co6rg y)jn:,hlj h ;ajt+rrect?

  A student measures a length five times. All of the measud-gr4v5l; 0 szpl(;poi hkk-nrements 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 ± hluc k:s+i. ko2tg7) p0.4 cm long is cut from a longer piece that is 12.6 ± 0.6 cm lohgt)i7 lop 2k+.s:ku cng. 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 $\pm 3 \%$ 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 ± 1.2 N is applied to a mass of lq*x1q/r h,+tqg sq*q we /7sn2.0 ± 0.08 kg, causing it to accelerate. What is the percentage uncertainty of its acceleraq*/q ng tq*+ hwq7qe1s,sl/xrtion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured )wcb-8i ks7nk+rezn6 to be 10.0 ± 1.7 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) %