Which of the following could be a unit of powxdjrz8n v3 (n6pc4e 6der?

  By approximately how 93g nfr4 pls-:8seoyamany powers of ten is the height of a human larger than the height of a graosfgra:p y4s-8 lne 93in of sand?

  What is the value of k cmvg8z go 7ua**/a,v$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI p5loim3zcy46system?

  The volume of the Earth is appaaujn+ow2mgc2 xifv9 +6 ie15 roximately $10^{12} \mathrm{~km}^3$ 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 magniqf :l -;cl gtkb)+q w9)cyk434uk ytkmtude, the number of heartbeats of an average adult human in a 9klw-:g34y4l;f)u tq k ckyqb)t+c mkday.

  Which of the following contains one fundamental unit and one derived unpu n lka 0ogu,c(/.k9d/w.luhit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dech7y s2x 2cwfd0i/qam2imal pl sm7a2 xf0ywh2 i/cdq2aces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the ordee zyoa gcf.r59v()f6ur of magnitude of the ratio between the mass of the car to tv.uc5z (e 9o)gf6yr afhat of the mouse?

  A train travels $94.6 \pm 0.5$ meters in $15.384 \pm 0.07$ 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 wit4ps:d9 q(lxhdh sides of $3.24 \mathrm{~m}$. Each side is measured with an uncertainty of $1.2 \%$. 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 bas d49s mfq5wz49vhml *ie 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 $4.0 \%$ 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 mea pxp1a3be v 2s6dw2u1asured using part of a metre rule that is graduated in millimetres, as shown 1pxawea s 3pu16db2v2below.

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 $5.3 \% $ uncertainty in $V$ and a $2.2 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is mease,kji d eo,(aadj7 :i4nrh/+*wnw+jk ured to be $19.5 \pm 1.5 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $2.4 \%$, 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 estimap*jvnzsc0)d eq8+5j f 0eahl*cy. *fited 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 xmn/b*+hmg oel24 aj2k 9v3yu0sw(ao($V$) across a resistor is measured with a digital voltmeter to be $0.55 \; V$ . 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 measurement.u g-7zs mq- syzm5ujioc 7++rs of the same quantity which of the following can be reduce q5go7irzssmz ymuj+ +u-7c. -d?

  A student measures a distance four times. Thy(7da;0)v l k:juibax e readings are 37.8 cm, 37.9 cm, 38.1 cm, l v:aak;) diyj(7ub 0x38.2 cm. What is the best estimate of this measurement?

  A student measures t/eruvlp*:+ rx wo lengths 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, ae j1v :dqtmj4* and 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 quantity P as quantity Qw* *s w)p+dxae varies is plotted. Theory states that P shouldd+* xwe)*swpa vary linearly with Q.

  The length of a pencil is measzpu y, j1u ,ljrs/y pd5p+w32l0o9edz3 f1 jdhured using part of a measuring tape as shown below5dd/,j ll1jeyw9h2 zup0u 1, r3sd+p fpoy3jz.

What is the length of the pencil?

  The masses and weights of differentrsi7fayo*g a )g.: im0 objects are independently measured. The graph is a plot of weight versus mass that i0yi a)m.7*gr:g o fsaincludes 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 rew a y yvlvai;3lxoyjfj)9i)0;bpa5;90 kn- mfctangular plate are measured, and the diagram shows the measured values with their uncertaintie ) lby5pwxfvav ioa-a9;f ;)lk0jy0ji;m ny39s.

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 gbfx e4;0d btc/ ddu+9;zl)jgis measured with percentage uncertainty of 6%. The radius of the sphere is 2.4 ± 0.2 cm. What is the percentage uncertainty in the male; x+09)dfzggdbj4ct u ;/db ss of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasu+lti0f*sp72sm non 3 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 the acceleration due to gravity produces the followue l5k+ns/2 )s:j ypk+(19h wh xslwfwing results:p+hj): s9w51ssllu e2hwkwyx f( +n/k
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 +y xe5(ofebgp*k5r3 q 2zek4nj- wbm2, such that each measurement has an uncertainty off -2b25goqw4n5exke e kz3+rjy(*p mb $0.5 \mathrm{~cm} .$

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 masxwf,hjvv blr 5 )1vx+,yav2-hy ,aa7e s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ 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. Which of the following stajj crhsy8t z +j ;*cx*ul4/.qhtements is zu 4xc*s8.h;+ r/jl*hcy jjq tcorrect?

  A student measures a length five times. All of the measuremefor6ipr o0+ k5nts 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 ± 0.2 cm long is cut from a longer pi 71a5tdsaol g1wfrg*1dmp6a9 ece that is 12.6 ± 0.5 cm long. How long is the remaining piece of saodt 6 1*5dagmg1ra17fw sl9ptring?

  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 $\pm 10 \%$. 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 applbt;bsqd30a93c d y d,cied to a mass of 2.0 ± 0.09 kg, causing it to acceleratddy ac;q3sb 3c0tbd ,9e. What is the percentage 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 ± 1.5 cw;j(odt,/atus s*n: av l.ckf )/xra6m.
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) %