Which of the following could be a unit of 1dbou t*j.c/t5 g gg6mpower?

  By approximately how many powers of ten is the heightte z* 724p. d.faoyemp of a human larger than the height of a grain of sandfy2.pz4e 7t. mop ea*d?

  What is the value of pfh0 8fki-;ht- uqiv w45kz*u$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a8 ya3kn5 xq6t/.ok iuo fundamental unit in the SI system?

  The volume of the Earth 7vua6oz cs7)k rb8z0sis approximately $10^{12} \mathrm{~km}^3$ 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 ve 64)3/jmph rwb ml*wof heartbeats of an average adult human j 3 /6elwrwmh)*b4mvp in a day.

  Which of the following contains one f f3l l 37im+vskc;/kkbundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer wo1 fbwavkvs2djz12 j)4g m) *oith the most decimal plaf*moj4)s2 k12vz)bo1ad gvwjces?

  A car has a mass of 1000kg. A mouse has a y ns4j:zwz ob3 4iih-f0:*nhzmass of 10g. What is the order of magnitude of the ratio :*z-hz 4 z4obj fnwi0nsy:hi3 between the mass of the car to that of the mouse?

  A train travels $57.1 \pm 0.4$ meters in $4.927 \pm 0.04$ 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 rli;5 axdb. 7d :ija/xcube with sides of $4.39 \mathrm{~m}$. 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 base of z4.j r9irznz :olszg1 f ug+.3side $x$ 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 $5.3 \%$ 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 iiwrgfiz4 0 j0 0l37kmnbj/l3 ps measured using part of a metre rule that is graduated in millimetres, as shown bel0j4 i30 nrpbzfj70 k3wilm/l gow.

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 $4.8 \% $ uncertainty in $V$ and a $1.3 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloonu/tlmq l mffi0 w:ypx i1,;n/0 is measured to be $15.2 \pm 0.5 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $3.6 \%$, 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 roo:lqjse;l;f 9g ;rpp)fm are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differenzmb5) b h2vof/2 yy6cuce ($V$) across a resistor is measured with a digital voltmeter to be $0.24 \; V$ . 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 same quantity which of the followo mht 43tc71w-,kh)dyn + jvtypd3pt -ing can be r)-1tp3n7 oypv d-t3dthkt ycwj+,m 4heduced?

  A student measures a distanchz w0g7:ghb ;we four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm,w; :h0w7hggz b 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as 90+kmge1e dqx8 /4 qdrt5 z12u4va bljjcyd5v 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 measur o qv;.els2q;8hx7ggny */xoled 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 quanj0k d m9gox o*-tz:r,otity Q varies is plotted. Theory states that P should vary linearly o -g0 9zxmjo:* ,odtkrwith Q.

  The length of a pencil is measured using part of a lb k),xg/8ln pmeasuring tape as shown belowkn,/x lg b8)pl.

What is the length of the pencil?

  The masses and weights of different objects are independently- 1 v:mjrl2akp) 0-v flpo1oca measured. The graph is a plcjrlpk1)voo-l:ama0 - 1vpf2ot of weight 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 rectu)uk/:4*fz q4 y 6e.vkj ejttmangular plate are measured, and the diagram shows the measured values with their uncertezjqf4k* : mvjk/u)ey utt64.ainties.

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 percentzs9t(g urq5 i3age uncertainty of 3%. The radius of the sphere is 4.8 i(qr stg5 uz93± 0.3 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 g2ybu gc*q5.zj:t,xh 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 thexo2:w* spxknmq:o2 qq5l c8f3 acceleration due to gravity produces the following results:2f2*koqx c:ps om wl853:q nxq
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 thatkz6+l /1ueuk j each measurement has an uncertainty 1jlz+ue /kku6 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 x to 4y sot(s3/i):zqg$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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-negligigzlb3 4map g;h ;8o)wuble zero offset error. Which of the following statements im)wh 8 ug;;bgaz3lo4 ps correct?

  A student measures a length five times. All of the measuremeny5 t1zo47g7zr zwh4 :fczuw 4vfqw72fts 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 cut from a longer piece that is 12.6l dns- sa7an(8nhoxg l*uy/61 ± 0.2 cm long. How long is t/ u 7a*s (ynxho6s8nlg1 da-lnhe 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 $\pm 3 \%$. 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 a i6 wpsfc44.r4p; shfly:bh8xmass of 2.0 ± 0.12 kg, causing it to accelerate.hh sfry:6slixc. 48;w4fpbp 4 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 b sg.;n+*f3uell,;qnwdq r)t ve 10.0 ± 1.7 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) %