Which of the followiht ;+ t4 xyt:oo9fej*r0 jyz27q-jugn ng could be a unit of power?

  By approximately how many powers of to hfca /b(*xo(en is the height of a human larger than the hei*xocaob( h (f/ght of a grain of sand?

  What is the value of 4 ; b)bvsz(ney$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syste7mhp bu::yittb4o( fbc (t yjg2(e7 l(m?

  The volume of the Earth is f43qawq4 2roneo;i 6qapproximately $10^{12} \mathrm{~km}^3$ 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 neareneh3z 0cm,-ze- sjh p7st order of magnitude, the number of heartbeats of an average adul,mp7eej-hs 03zzh -n ct human in a day.

  Which of the following contains one fundamental unit and one d h3;+ yr5t(ijaz-:c gcn a2szdwv* a3derived unit?

  If A=10.0 and B=0.50sna::lo3 19 noi2e8 hgol lnq2 ix(vrkzq .y85, which calculation will give the answer with the most decimal 5k8o9x e2ah.l rlz:i2o(i18 v:g y oqn3lnqnsplaces?

  A car has a mass of 1000kg. A mouse has a mass of 1 -4 jkalfxk2z*, -ojqa0g. What is the order of magnik- fa*-jlq,xo2k4jza tude of the ratio between the mass of the car to that of the mouse?

  A train travels $87.8 \pm 0.4$ meters in $5.876 \pm 0.06$ 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 sf r .jaam5vdavg03c:,(-aywbhape of a cube with sides of $4.24 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 si 9gh f2jldx2y1de $x$ 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 $8.4 \%$ 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 measux on ipwz;njw +/9e+,yred using part of a metre rule that is graduated in millimetres, aen p9j+zww;+nyxo/,is 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 $6.0 \% $ uncertainty in $V$ and a $0.9 \%$ 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 meaiw.y q2zdb.uvt1t+ j ff5s:e ,sured to be $20.2 \pm 1.0 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 chjgvu5 sz3,gs12 ej(a room 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 difference 29xw v 9uonzo2($V$) across a resistor is measured with a digital voltmeter to be $0.60 \; V$ . 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 samn oonyj1p52w5 e quantity which of the following can be reduced?y on1w 5o5p2jn

  A student measures a dbjtsp4a+l6g-o -6d lzistance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thbs6- 4z6dogl ta-p +ljis measurement?

  A student measures two lengt/g+z;j t:zs n d.f)7+4ohfyfeqaob- dhs 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 se;4 ge8 ie,brto 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 is1jk u53vd mt-h plotted. Theory states that 5mdhkvt 3u-1j P should vary linearly with Q.

  The length of a pencil is measured using l1 7 nfblyr9edy3jm8x9 fw4o 9koge( 3e5tnl:part of a measuring tape as shown belowfel1r o:n (mt3foxy99e 7 5wby4gdj3lle9nk8.

What is the length of the pencil?

  The masses and weights of different objects are independently jq2lgcm82l +-b z e-timeasured. The graph is a plot of weight versus 2c2 -i+gmq-t jlbl8 zemass 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 re . /)d80oclsjbfdu+jxctangular plate are measured, and the diagram shows the measured values wi/jdf.8ds0)+b cuolx j th 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 measureyw ) a()oljv2pd with percentage uncertainty of 8%. The radius of the sphere is 4.3 ± 0.4 cm. What is the percentage uncertainty in the mass of thev)2l) pwjy (ao sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has show8 -ec;k7jb;q9vm1 qqvr8,(atz plj idn 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 b*tri2+(ghn2x:nlu q acceleration due to gravity produces the followxi2g2r* bnnqh+ t:lu(ing 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 measureme zn1rq7.jf:,bgrs o/ fnt has an uncertaint.fbfs7o/:z rjqr ,gn 1y 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 masm)m jrfe6 b.;ws $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.2 \%$ 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 offsets pqio)59l+i wx/;eup error. Which of the following statemenu9;wpio p) lx/i5+eq sts is correct?

  A student measures a length five times. All of th d21zabg -1exbe 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 ± 0.3 cm l dgott 4e15u9xa rnvh3jb0(+am dz 33ioa kk59ong is cut from a longer piece that is 12.6 ± 0.6 cm long. How ( d53kr0di4nou+3megtj 1ta bxavha93 9o5 kzlong 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 $\pm 2 \%$ 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 ± 0.4 N is applied to a 0ddb6x. q/5d n-i( k*xwweefpmass of 2.0 ± 0.19 kg, causing it to accelerate. What is the percentage edi* dfd0p ex/n.k-x5bw(w q6 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 10ff,ddc1i 4tc 7.0 ± 2.4 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) %