Which of the following could be a unit of powe;io,t,e +rup9 oglzs2d,ymx 6r?

  By approximately how many powers of ten is the height ofuf8wa r j)(/to a human larger than the height of a gr)8tfjo( /a uwrain of sand?

  What is the value ofby(,9ksx :b ui $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit innqbk2l 7bc/ g2 the SI system?

  The volume of the Earth is aplrjs/-gr.ad: :wmio0:8 a mjdproximately $10^{12} \mathrm{~km}^3$ 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 magnitudeet) q t o8-dlagr;19yj, the number of heartbeats of an average ad)rl e gt q1aoj9;d-8ytult human in a day.

  Which of the following contains one fundamental unitekw 73(8 nkqai and one derived unit?

  If A=10.0 and B=0.50, which calculation will give th,6(ajv ym28aa(b1cck) kxaxo,b 3 mube answer with the most decimal plaav 8a)ko,x3u(m, 1(b6jxkacab ym c2bces?

  A car has a mass of 1000kg.s-) vad),bdbqfc* ouh p;2wpa w.-9m q A mouse has a mass of 10g. What is the order of magnitude ofqs ,-fa2;w*u obm)w9d-a bpqpdh.vc ) the ratio between the mass of the car to that of the mouse?

  A train travels $52.1 \pm 0.5$ meters in $10.586 \pm 0.04$ 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 shev *j+ mrsrv-3ape of a cube with sides of $1.94 \mathrm{~m}$. Each side is measured with an uncertainty of $0.6 \%$. 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 squarvw6 e 8)r g2.;/rsalec8 i hx5qyha)afe 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 $8.1 \%$ 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 part of a metre r -6jc w0xmtte),ctz/g zv3)ilule that is graduated in m )6)tex3jczigcv0-w/mt l, ztillimetres, 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 $3.7 \% $ uncertainty in $V$ and a $1.1 \%$ 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 isaml, ,xt 37fon measured to be $10.1 \pm 1.6 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $2.1 \%$, 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 esto mfw e+0mp3zoxk,+i x780i 1totbhk3imated 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 ( vcrjr* zku/cl dv+85oi4hh0ou38b.s$V$) across a resistor is measured with a digital voltmeter to be $0.29 \; V$ . 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 f:fg. lfga08k sollowing can g8 :.fksf0 glabe reduced?

  A student measures a distance four times. The readings are 37.8 cm, s1-iaqprbe (7mc7lyr+gykh6 z,u3,mij f, n2 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of,7q( 23+najsi r16,,z y y burmmhcgp lkfi-e7 this measurement?

  A student measures two lengthyl.ec2g r 1lnf4oh-2ay z4lzq x.5i*os 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 measured t)vw hb j(v;t0mo 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 statee1atvb7 : ojb0 y)nu+fs that P shoulotby) + eab:n70j 1fvud vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as sho4me6pt pk+g: 1ntj,bfwn below.,tgk6pn b1 +4:tfepjm

What is the length of the pencil?

  The masses and weights of different objeco.z5 q w(o8qy:na* -pgffxr ;6/rydht ng;1 qlts are independently measured. The graph is a plot of weight versus ma;tozg* f/qn1p5 wql. yf6( xy :-rh;ordngqa8ss 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 rectangularue ; hkqox vv+in.,q4v;;4q ic plate are measured, and the diagram shows the measured values with their uncertainties.n iq ;+,chki v4.o;4uve;qxqv

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

  The density of a solid sph xr3kh;( 2wafdl hlg:;ere is measured with percentage uncertainty of 6%. The radius of the sphere is 4.7 ± 0.5 cm. What is the percentage uncertainty illdh:xwg2 (; arhk f3;n the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shou* icfi x5t/,nwn 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 measeutzizy+yh0m5 ,4, vcure the acceleration due to gravity produces the following ce z4 5hy0+yt u,i,vzmresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usit)n3d+himsy,zz;xyh3t l 4 x4 ng a ruler, such that each measurement has an uncertainty of t)izd 34 n 43;hm xzs+lh,xyyt$0.5 \mathrm{~cm} .$

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 massy6 gq myx)aj02 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ 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. W4l.or erx 9ie*hich of the following statements is co 4r*exo.ile 9rrrect?

  A student measures a l/nf6 * oeyx*9mr m7lumength 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 ± 0.4 cm long is cut from a lobe1 j2ml x2lqmzt :zx* +c5vqvr2 g9,x2jko5onger piece that is 12.6 ± 0.2 cm lojxc5 ,2q e2z j+o*q:g9zmvrx2kbmx5 ll2to1 vng. 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 $\pm 7 \%$. 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 ± 0.6 N is applied to a mel(2(eyj9o;u d/h k(z y3kbf mass of 2.0 ± 0.22 kg, causing it to accelerate. What is the percentage uncertainty of its accele9y((b j lkz;y3/dkem(e ho2furation?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wirec/ d8r*ipiy aw :ac4)d is measured to be 10.0 ± 0.6 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) %