Which of the following could be a unifml,d,*s: 5-t,ph sp ,fsw nkft of power?

  By approximately how many powers of ten is the height of a human larger thap.sq 3n ps 9achyz4m*8n the height of a grain o.4* sm389spzaqp yhncf sand?

  What is the value of 4(4rwbpa;jr x $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fun ojf6r:.ter nr .42twfdamental unit in the SI system?

  The volume of the Earth is appr dj1/ec/d-*lfx zct; 4qz p/fooximately $10^{12} \mathrm{~km}^3$ 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 numbew/ r: dwsqqeb6*v(ng:aw wx;*r of heartbeats of an average adult human inwwq x;arw bs6*:vn(*wqe d:/g a day.

  Which of the following contains one fundamental unit and one deri)1pi.nj-o0p:)f wr 7gg.mns f9idvbz ved unit?

  If A=10.0 and B=0.50, which calculation will give the ana3u +e;dpwzhrd1wc+h d *7s5 5r gy/zgswer with the most decimal placesc 3yd5 ws5 dgrzwrzh7+*u ag;he/ 1d+p?

  A car has a mass of 1000kg. A mousl we+/uk: vs2. tjlj1.( fkjuoe has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mou.l:1s+wjjf(jkvu oek/ut2l. se?

  A train travels $86.3 \pm 0.4$ meters in $14.976 \pm 0.07$ 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 cube with g gc:pt.sh)ri4-(m p9b 7rwtq56k)qko lt i* esides of $4.98 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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,t iroh76i5bgykis jm k(d.5xa :i,-k 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 $10.0 \%$ 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 rulet o y y-/f+x57u)xkfpf/ dfyy7 that is graduated in milytyfx yyf77xk)/5u+p df/-of limetres, 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 $4.2 \% $ uncertainty in $V$ and a $1.5 \%$ 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 kd5icd j(8q/1 whkx2 ;-9pwb gptbgo/ hg*h 3ito be $21.2 \pm 1.7 \; cm$. 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 $1.5 \%$ 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 estimatep;xkc2s*vu o 0d 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 differa6q lp 2w q2zalmzwp5m63le4+ence ($V$) 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 measuw*6 sh5ptej) trements of the same quantity which of the following can be t*s w65)jepthreduced?

  A student measures a distance four times.sp43 78- skymygqtf*i The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate8 ssk y y4*7fmqpti3-g of this measurement?

  A student measures two lengths as:, apj z/ c36drhhbz1 p lxsq.v;m5ej2r0c0ex 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 a (5wi(-n,yn rfrj8xlm wg.k4to 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 quanr-6tijsni3vngs j48)c)a2ae tity P as quantity Q varies is plotted. Theory states that P should vary linearly 8 ar32 at4)-e)ici6v jsg snnjwith Q.

  The length of a pencil is measured using part of a measurin7;im 339ur swhqja 99z;b zoxig tape as shown belowa3z iixw 9 hs7;u39r9qo;bzjm.

What is the length of the pencil?

  The masses and weights of different objects a8 k kp6fr0sw)xre independently measured. The graph is a plot of weifw6p )8x0srkkght 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 platl 49*fcj6nb7j)xfdv u3bbg** ywa i;te are measured, and the diagram shows the measured valunxlcud9wb63j gt7 ya)*j*vb fi4bf; *es 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 is measured yzbphs9.uy:+jgq-vzj7k;qri 0 o+( y with percentage uncertainty of 6%. The radius of the sij vy9q-+z :pjouqgr0 y.(;+ ybzk s7hphere is 1.9 ± 0.2 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 s,e9mfz* o;la x*s(tn m0oz7byhown 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 ;h4qfb8v,wnl tzf.n:due to gravity produces the followiwv.hb 8 n;flntq: zf4,ng 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 xo+b6kow):.* 3iysnht- nnpt-ivp;)bx ge:x each measurement has an uncertainbpy;x x+3 othiwb*k6v:):pego n-i.s) txnn-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 mass +rbu g8 .mbfkh nn66/x x1ca7mldd 2)xpx)vh 9$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 foli,rtw3 /a+irnlowing statements is cor3n ri+/a, itwrrect?

  A student measures a lengthiva20bh1pn9hu ( gqwir .8 j5a 0gw6dk 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 ± 0.1 cm 7c8,l)v3a pqthp qwh-long is cut from a longer piece that is 12.6 ± 0.1 cm long. How long is the remain-hqw7 l ct)pqp3vh8 a,ing 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 $\pm 3 \%$. 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 masstsj 1( uz8pqh0 of 2.0 ± 0.16 kg, causing it to accelerate. What is the pertph1qz u8(sj0 centage 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 10.0 ± 2.2 cm. ha 7*,m1f;/wfsqdoay
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) %