Which of the followingw4cf27ia l+lip) a9o o;g0,bfuyii) t could be a unit of power?

  By approximately how many powers of ten is the h iv9hx k*yw,i,eight of a human larger than the he xhi*w vk,i,9yight of a grain of sand?

  What is the value ofucph/)wr ;m;a $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the -d s67h spraedg.a05v SI system?

  The volume of the Earth is y+ /rj.b/l0h4qsr,qq gro mw7 approximately $10^{12} \mathrm{~km}^3$ 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 magni+*nk2 i6e:da5v llp nytude, the number of heartbeats of an average adult hu kiy*al :+ ld2nn5ev6pman in a day.

  Which of the following contains one fundanv1n w oq 7elf03qt7v(5 a:ovimental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with theueya mg z*+*r+ most decimal placmyz+*+ greua* es?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is thxb n 4uqe7s.y+d1kp 9qe order of magnitude of the ratio between the mass of the car q 9eubs nkxpyq+47 .d1to that of the mouse?

  A train travels $83.3 \pm 0.5$ meters in $4.506 \pm 0.06$ 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 cubxyx)/fv6f ;b ka((norw (ox2 te with sides of $2.75 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 y5 x g4-hllgj6(tj kf4side $x$ 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 $4.9 \%$ 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 wvqo3(:wne+ vajy8xmob6 0.f part of a metre rule that is graduated in millimetres, as shown belowayx 8(ow.:m v3v o+fq0bej6w n.

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 $6.4 \% $ uncertainty in $V$ and a $1.2 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballo+b9 f,z :be9)dq1iv2 dihu njcon is measured to be $23.6 \pm 1.7 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 estimatv9jc:.ukx ,ta ed as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 difference uf x33wgv kz7na f1 nw1th8b2;($V$) across a resistor is measured with a digital voltmeter to be $0.18 \; V$ . 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 which of the following cah58)op9z j j cgmxho,*(qrm,x n be reduced? z9,c(j)o x,mx8jg5p*hqhmo r

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm,f, b 2)vj,i9kz ngvd-)7 euxro 38.1 cm, 38.2 cm. Whatokei7-rx , zbv)9) 2jgvn,fud is the best estimate of this measurement?

  A student measures two lea- -z7uxwm9 cpngths 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 measurkfnwqiezkd247(0 ek 4 g7fr;qed 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. Thabt7vjjn; z) b:1q0zc eory states that P should vary linearly withzc :)vqb1t 0a;n7jzjb Q.

  The length of a pencil is measured using part of a measuring tape as d.8xo e gk1nqn aasvos9g-5;;-jj- z hshown below n91kd-a.zs g g8ao;j-je-x vhn;5oqs.

What is the length of the pencil?

  The masses and weights tac*y4k a6d .iof different objects are independently measured. The graph is a plot of weight versus mass thackdy*t64ai.a t 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 meacujf9 fi4 -2fnsured, and the diagram shows the measured values wifuf9fnj4 i2c -th 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 percec*,r 0by 9fbja,0uwa hcg)e-lntage uncertainty of 8%. The radius of the sphere is 5.3 ± 0.4 cm. What is the percentage uncertainty in the mass of the sp,wl ,uabcer9-*0ch )yfb 0jg ahere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sp/gh1q7 gb0b8cfhg+ta )mnk+ 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 gravity pro5u;9*/o liqirx;djn0c tq0a wduces the followiw0q joxcn9ulq;* 50i tr;/ ading results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 eacq *0i: qblnu7oh measurement has an uncertainty 7:qilqu*o0n b 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 masogo o t)fki6oa1((i u;wv 9d8ds $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.8 \%$ 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 offwo:b(pv jnh7qnt p) 070u6xr ucnrq11set error. Which of the following statements is correct:xcowpn7q)nq 0v n ru0tr1 j( 7h6u1pb?

  A student measures a length five times. All of the 6on ojl1+f hwio0t,2vmeasurements 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 ± 0.3 cm long is cut from a longern 1pozg 0b8+sa piece that is 12.6 ± 0.7 cm long. How longb1+p0n8z aogs 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 $\pm 4 \%$. 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 ± 0.9 N is applied to a mass of 2.0 ± 0.19 kg, causing it t,mv(en+0w7 n9s gfihhbel4x v 0x0f+l o accelerate. What is the percentage uncer07nlv,x0n04velfh x+hws9bi me f(g+tainty 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 10.0 ± 0.9jm.m u2j9 vo g0c2wp3q 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) %