Which of the following could be a unit of/22n 7yl8vf 8tluktni power?

  By approximately how many powers of ten is the height of a huma*7tm .4paantmyesh (9n larger than the heaym*t t( hpam.s4e79 night of a grain of sand?

  What is the value ofk 02-glpksz o 1+chdnw:vl r6b8ip((w $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following i 8 y(,i(lip *kv, vf4dyb5:ll*corrcis a fundamental unit in the SI system?

  The volume of the Earth is appron gn3g(- 2 ksklcw-9w,9zimc xximately $10^{12} \mathrm{~km}^3$ 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 of an aver7zka8zc bd1x:age adult human idcbxkaz8 z: 71n a day.

  Which of the followinogzw y: p31lk2g contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculae7haxzjyc6qh)3 v3 4y tion will give the answer with the most decimal placeh33c yv4 xjhzqa)6 y7es?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What p1/llmi;h, at is the order of magnitude of the ratio between the mam1 ;aih,/tll pss of the car to that of the mouse?

  A train travels $95.2 \pm 0.6$ meters in $8.044 \pm 0.05$ 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 withv q8lm*k ;0 bcl9hwk5( wudnw* sides of $5.24 \mathrm{~m}$. Each side is measured with an uncertainty of $0.6 \%$. 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 squa/*zfnhk 7bikp t1q:/bre base 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 $9.5 \%$ and $h$ is measured to $6 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured u:x i 2b1/h lv+9vimgbhsing part of a metre rule that is graduated in mi hlhi:xiv1g/v+ bb9m2llimetres, as 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 $5.9 \% $ 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 i 6))xz e;h rkhi;hfu f,pz,+woh ji11js measured to be $11.2 \pm 1.1 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $4.5 \%$, 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 g8e.z0sle x e(of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differoz0 twi0i/qj- 9 fxf5n2* agykence ($V$) across a resistor is measured with a digital voltmeter to be $0.40 \; V$ . 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 thjdq o;,0i) aro+qx4 qro7*kqie following can be reduceor4*+,dq7ok qa q) iq;0oi rxjd?

  A student measures a dis nfh71:v da naim)ps7,tance four times. The readings are 37.8 cm, 37.9 cm, 38.1 c7: hfpdni1s,a n)a v7mm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follorp ,dv89z gym,ws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a;.(sa psqgmub h7 :ci4 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 alcqp(*1 n oyfjcqpmo;3 ,8t *ls quantity Q varies is plotted. Theory states that P should vary linearlmjql3n;p y *oto1* pc,cfq(8 ly with Q.

  The length of a pencil is measured using part of a measuring tape as sj9. )ltd jb-isl */ro.js b9 le(l1fmhhown below.jj )lhtldios 1m-jfb9b *(/.l lre9 s.

What is the length of the pencil?

  The masses and weights of different objects skqfbu/ro0 s ;b8)zr*px k +x0bza., mare independently measured. The graph is a plot of weigh0b.k 8,xb ko m azrsr+)/bu*zs0qx;f pt 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 rectangul6/y 5)zg9x) w gy6y;end y8vs4gtnoawar plate are measured, and the diagram shows the measured values with their uncertainties.o5yvt6))w6 yn 8gyw sxa/ngyd4e z;g9

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 i 3 2tm-. fw-fr*0jh9qjgvydg*djvxx 3s measured with percentage uncertainty of 5%. The radius of the sphere is 3.6 ± 0.5 cm. What is the percentage uncertah2- f*y0jd3vwj3gj9x gv-t*mdrx fq. inty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown th7 g nw xui7px(zn)j(c5)t(ptcat:
$$
P=\frac{g h^2}{u^3}
$$
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 dvu v3gmz8c4u5i x3vt33z m :ugravity produces the following resuvt4 xzcuv3 3gvzmi 58m:3d3uults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 unc)wz - obzacxw0 r8ae/ebkl9nm k n,) 4ghc+0-yertainty8ze+ab bnk )-4xzm-gaw/9ccrh0y, eo n wk) l0 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 masstc5j z ov.5 lxrws;;(x, fnk4i $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ 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 th/m yeuo8g .,vxw)nap3 e following statemy/xgwuo.8 m en)a,pv 3ents is correct?

  A student measures a length fiv0 -.kbb x7k9aaw;iedl e times. All of 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 ± 0.7i m kdr:hi3,w3 cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How long is the remaining piece of smwdk rh7ii :,3tring?

  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 $\pm 8 \%$. 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 mass of 2.0 ± *av 4n,zp i4z,axi*zrjxp a980.03 kg, causing it to accelerate. What is the percentagx,vxn iz9 a4zz*4r a aijp,*8pe 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 ±:qp :( /k1fbsx5g9vk *rl uhdh 0.9 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) %