Which of the following could be a unit :gmm0y9:msgn)zap7n f3ru 3iof power?

  By approximately how mx7o-ifb ()cwofx- ut wo5.5yqany powers of ten is the height of a human larger than the height of a gryx wtfcf (wo.5xibo-q)u- 7o5 ain of sand?

  What is the value ofo8s0xt.ifl4vukcf: 6 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syste : jn0pr85lu9 k5mozsnm?

  The volume of the Earth is approximatef77by:pbnb;)ga cz 9x*wjbm 1nzs 6j7ly $10^{12} \mathrm{~km}^3$ 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 heartbeats o 0tgh u3d9w3h2l1xwzzb j*k7qf an average bq3z 21 h903dkwg xjhwt7*zuladult human in a day.

  Which of the following contamu2 1z(;onicyr .je5vins one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer withl -4 r.iub9 edi8cy-ok the most decimal pl.8uc yrd9e-o-bi4lki aces?

  A car has a mass of 1000kg. A mouse has a m .nyj+;ks9 k iwffq 9f2dkjk2+ngs5+r ass of 10g. What is the order of magnitude of the ratio betw2 ns y9+nsqdwf+jk5j;gk9kir f k2 .f+een the mass of the car to that of the mouse?

  A train travels $89.7 \pm 0.6$ meters in $2.923 \pm 0.07$ 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 sides of my4lu b:y).z 8qw5rl *t:ilyj$5.27 \mathrm{~m}$. Each side is measured with an uncertainty of $2.2 \%$. 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 base of .:yhsar 8y+b tside $x$ 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 $7.4 \%$ 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 rule that is a ,b -mxfo3t( vo7obv,graduated in millimetres, as shown m ot3bo,7vb,f a(xov-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 $4.6 \% $ 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 is measured to 0 fphdxmy-n,ixnr 6 87be $21.7 \pm 1.3 \; cm$. 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 $2.5 \%$, 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 roc1ib)07yp (p lkkq6,:ojda uf om are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 differencxh41 hloq)x f/v28dfze ($V$) across a resistor is measured with a digital voltmeter to be $0.08 \; V$ . 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.okxe; l3xh8rs of the same quantity which of the following can bhro83kl; e.x xe reduced?

  A student measures a distance four times2wl)/ 9vs2+o tpn g*jy1t lwlo. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is t1tpwwl 2l/+l *og2v)tjsn o9yhe best estimate of this measurement?

  A student measures two lengths asvn, sz:,2qgy-6jp6vhvmt g6 h 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 to be heo,rqg( ;dpwyk :+nxif-k0 *$(5.1 \pm 0.1)s$ 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 Pmrb:8kb+k l64*6 cv, /julilxk s d,lg as quantity Q varies is plotted. Theory states that P *kk, +uk,xl ldc:6b4gljvri8 s /lb6m should vary linearly with Q.

  The length of a pencil is measured using part of7(b7 8 frbrirud4ykkgq; a: 0v a measuring tape as shown belowi7yk:(8kbrg aqr4;rfv 7ubd 0.

What is the length of the pencil?

  The masses and weighx s/-1ohy3sf w7ro4ohts of different objects are independently measured. The graph is a plot of xs-w hyf o3o7 osr/41hweight 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 requ-mx4 q57b 1nrk x-hbctangular plate are measured, and the diagram shows th -xnb54hqr1 ukb7- xqme 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 ia.rbubc j(rp0t 5k2;measured with percentage uncertainty of 7%. The radius of the sphere is 3.9 ± 0.2 cm. What is the pju rp5;cb( 02 brika.tercentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown te,6oi61fs e. mm brbx:ab3y.g p()ckohat:
$$
P=\frac{g h^2}{u^3}
$$
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 acceleratio;8fk.1 kawti sn due to gravity produces the following results:sk .8i1;wkfa t
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an unceju kopoy(2.bo ei((;artainty of o(;(p(yobo 2je.i uka $0.5 \mathrm{~cm} .$

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 e)b z4ed)+e qjv2ggr0:idf:i $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.1 \%$ 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 ste 11sw c meqapiatgr8s;ib* 1m **j)4batemen1r 1s)wia b8i**4 jtbcap1g;s*m qemets is correct?

  A student measures a length five times. All ofts 4ae0cdmvg: r 9(qi0b1gnx3 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 ± ekpi/wa *(rkn09w x+c 0.5 cm long is cut from a longer piece that is 12.6 ± 0.5 cm long.0 */ wc(aekp9rxwi+kn 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 ± 0.1 N is applied to aa*m/js - (i0di c3f-esvjwu( e mass of 2.0 ± 0.01 kg, causing it to accelerate. What is the pe*v ej fd-m 0/c-i(uj (3sewasircentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is md; ;8 ueaesp:peasured to be 10.0 ± 1.4 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) %