Which of the following coul5 sfq2 rdc9nd+d be a unit of power?

  By approximately how many powers of ten is the height of a human larger th kb)h/ozolou1290nyian the height of a gra/iynh zo0l9oo1bk)2uin of sand?

  What is the value of o7mkum: odfu nz21.* n$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamentae(lg vxej( 5yjeu6eydy7*.-il unit in the SI system?

  The volume of the Earth is approx qxi1li/ nl:i.imately $10^{12} \mathrm{~km}^3$ 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 + zcb/ls 5qfpe3:.pctl1h.q l heartbeats of an average adult hflcp/.e3h5 bp.1cq tll :zq+ suman in a day.

  Which of the following contains one fundamental unit and one derived unit?p16lxyi n/t:g7lo/,6 jggm cj

  If A=10.0 and B=0.50, which d (f+4/d zni(g9ohc eccalculation will give the answer with the most decim(9ie c/4 (+noc gfdhdzal places?

  A car has a mass of 103 ) kdei3h-t 3e l1ct2g qqg2qj9re3ld00kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio betwq q e9jk2)-hg2 qd3rit133lcdetg l3eeen the mass of the car to that of the mouse?

  A train travels $72.2 \pm 0.4$ meters in $15.241 \pm 0.09$ 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 ,f d l(;xmofa:with sides of $3.65 \mathrm{~m}$. 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 basbg4 6:jpbfxc6. z9uz .knl)9p1uyvdsxhmw68e 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 $8.2 \%$ 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 b0 x zvtwpa;*+x( pp/hi9jbr)metre rule that is graduated in millimetres,b9zat*i+v;0 j(r hxpb p x/)pw 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 $3.2 \% $ uncertainty in $V$ and a $2.4 \%$ 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 s:6tg jyu8-vj 9 vg3rsg5p: vemeasured to be $13.2 \pm 1.6 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $5.7 \%$, 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 +azcl2z*-hw w5i zs/ sof a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 (l dvz:z82n b.f$V$) 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 mea/t81jfk (m2 vb(l ovqfsurements of the same quantity which of the following can be rem1f lj/vbkv( o fq(t28duced?

  A student measures a distance four times. The readin c0eznij/o/)9 q r)nv-h6fzg fgs are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Whan zze)-h qi//f6c)rvg0o jn9ft is the best estimate of this measurement?

  A student measures two lengths ak(g55fuup z4 tf3ees1s 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 kt3iqz; f)e2h *i ms(emeasured 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 p4o+ 466z2 jb ltesbyedlotted. Theory states that P should vary linearly w4yj6e4bslb+o 2 et d6zith Q.

  The length of a pencil is measured using part of a measuring tape as showz ov6p/uev+tg2;feg u*,u( jtn below.t (e 6;ego,ut vuv/gz j+fu2p*

What is the length of the pencil?

  The masses and weights of different objects are independczubd u+96hs/muc9 .a ently measured. The graph is a plot of weight versus mass that includes error /s9zcm a6.hd9c buuu+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 measured,3dmjt 4qi*,ul and the diagram shows the ju*3d,qmli4 t measured values 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 with percentage uncertainty of 7%. Theh1 tcvnq/ 1yao++ loxd, av(wb..9bb y radius of the sphere is 4.0 ± 0.4 c 1.d+otbbaqy,vv c a(owbyl 1+/h.x9 nm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasm: /yedcs 0fv7r+nsa6 shown 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 theqbz+oy 4dt4 9 4dwmip2 acceleration due to gravity produces the following reybt+ 94imdw o4dqp24z sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usings qw:80/kshp 6,kdw* ah ).ipqpuinz+ a ruler, such that each measurement has an uncertaini wa shuk6 8k*:hs0+nqd.pwip,qpz)/ 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 mas,fk+ kvvmv r1lo6d .eid.h6x2 s $(2.0 \pm 0.1) \mathrm{kg}$, 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-neg,x +g zjch(u+(0k upq; t1smzjligible zero offset error. Which of the following statements z;g(sqmj u ku zh+x,(0jctp1+ is correct?

  A student measures a length five times. All of thr a;swhrdc5m5(gp3d ,e 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 nhfs3 +pt vn:p;l0x k3cut from a longer piece that is 12.6 ± 0.6 cm long. How t :fs3l+;n p0hp knv3xlong 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 ± 1.4 *)gnr2t bh6coN is applied to a mass of 2.0 ± 0.24 kg, causing it to accelerate. What is the percentage uncertainty of its acceleran)tho b6c *g2rtion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle 3yq)k/xek u8 ox14yx lof wire is measured to be 10.0 ± 0.7 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) %