Which of the following could be a u/je1 1ju saj33f e cqrza/t,x9nit of power?

  By approximately how many powers of ten is the height of6h7yarufh x2aix:w1:33 qb)yi uu,rk a human larger than the height of a gr,ra7u2ii3)x y:3xufrq :u1 6a bk hywhain of sand?

  What is the value of ld,/mdnl 3w .z$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followihhc,adv 6;tg8 ur*7 itng is a fundamental unit in the SI system?

  The volume of the Earth is approxavddmfi+: . w3imately $10^{12} \mathrm{~km}^3$ 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 mz.8tn5zll hi0ixl 7 m6agnitude, the number of heartbeats of an avern .h mi57 z0lz8lt6ixlage adult human in a day.

  Which of the following contains one fundamental unit and one hy ljvnygfb28ti;, 5xnq3 7 2ypb7e:tderived unit?

  If A=10.0 and B=0.50, which calculation will xjb ;c3giw),s give the answer with the most decimal places) xg,w;c b3jis?

  A car has a mass of 1000kg. A mouse has a mass of 10g2kgh-o*d 7va;qfhp 7 zbj5 ;fx. What is the order of magnitude of th; zqhkhb2x7;7f j a pfo5dgv-*e ratio between the mass of the car to that of the mouse?

  A train travels $95.6 \pm 0.3$ meters in $15.336 \pm 0.06$ 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 shapz4o/-8inambdzcx )4xvj f, 0he of a cube with sides of $4.90 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 bwa6 -f*3v*(;wybuwxksu 7kq qarzw* w( k /s/pase 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 $7.1 \%$ 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 usinkxqk zn2q 8.blgg9-3smi09i nd f)4 mng part of a metre rule that is graduated in millimetres, n nz mbl9dxms)qf.8 n0 g4q2kkii39-gas 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 $2.5 \%$ 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 c-t/5mujd, x2,3/fe .lrjg)iwq ykis is measured to be $17.9 \pm 1.5 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $6.5 \%$, 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 estimated a q hyxbjzf4+39s $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 ih7zv 2yoz4s3f4ngehv 22 rl8 ($V$) across a resistor is measured with a digital voltmeter to be $0.39 \; V$ . 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 0w4xthh(o ehwrx 5cy47zf :w,same quantity which of the following can be reduce0t4wxf xh 74 (5hohzc,: werwyd?

  A student measures a distance four times. The readings gf4 u 3l4ol05x/ctc3 l6 mu0)dwrifbi are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremenx 63m /crb4li4i f)f cuwtldl3gu05o0t?

  A student measures two lengths as fol1vd:xfj c9 +u*l5dqjl lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and +eix7qa -tb98td rps3xy/mv:b, are measured 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 quantig du21iu;gq-lpywaq, .;9i m tty P as quantity Q varies is plotted. Theory states that P should vary linqiyumild u g- ;, t2pqwa91;.gearly with Q.

  The length of a pencil is measured using part of a measuring s6yjw nq;gem81epit w84y e 44tape as shown below.g6q1 ;yiesnmejw4488w 4yet p

What is the length of the pencil?

  The masses and weights of different objects are independ/ xhseee4iqw ;+i)gx0ently measured. The graph is a plot of weight versus mass that includes erxewqe+g04x ei)i ;h/sror 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 rectangnz) 2j v+gib5k4 n7xosular plate are measured, and the diagram shows thb n+gz)onjsv7xk5 4 i2e 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 spu( iy3l5sab31h3 kqu 13lfpv8tuy *wt here is measured with percentage uncertainty of 4%. The radiuuwutb1 ay k3f 38t( luq1l5vips3y3*hs of the sphere is 3.4 ± 0.4 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 shown ,sf6qp *a/iwtj*f .authat:
$$
P=\frac{g h^2}{u^3}
$$
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 grvg-4rr *:9yb qey)vkvavity produces the followikvy ry)b -evv4*q:9rgng 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 each me1h lt;kj/ x/rlv:m4vh asurement has an uncertainty hl/1klmvhj:r t/v4x; 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 1uqmz9m 7gt klpx*j) +$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.6 \%$ 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 erq s:+2-7xht 8lyo7o zuecz.mi ror. Which of the following statements t-yo xms u27ei oh.+:zcq7z8lis correct?

  A student measures a length five times. All of the measurements lie between; )u6;j 3ao kbgw+sls8xjabd* $18.8 \mathrm{~cm}$ 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 ± 0.2 cm long is cuxdm wk5r0cr v0ibw8 ,.t from a longer piece that is 12.6 ± 0.7 cm long. How long is the remaining pied8 bwvi ckr ,wrx0m05.ce 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 $\pm 4 \%$. 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 ± 0.7 N is applied to a mass of 2.0 ± 0.24 kg, caaup .k rv qsk4a4tou4h+ -spvi(/f35qusing it to accelerate. What is the percentage un pksu34s4r (o-ka/vvhq.it4u5fp+ qacertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of fuu;y +s- v* sbhp/m 4we9as2hwire is measured to be 10.0 ± 0.8 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) %