Which of the following could be a unit of+u eh vu0:yqij8 cg)voa-o-2/ pucf0 m power?

  By approximately how many powers of ten is the height of au(z ra.gtw (eg /wyi42 human larger than the height of a ri (2uwa.4z/gyg (tewgrain of sand?

  What is the value of o( 7wybj 3i-) mbkre5g$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamen :k)wg;os g;3o pd53 rtvr2deatal unit in the SI system?

  The volume of the Earth is /stc yhy(: g.lapproximately $10^{12} \mathrm{~km}^3$ 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 magnisp f*1cv+1 ts/p o.;unmcle*rtude, the number of heartbeats of an average adult human inp r pl+csfm .;n*o1cvu* set1/ a day.

  Which of the following contains one fundamental unit and one derived unit?l sbh8:kd)y2 3hxd g4o

  If A=10.0 and B=0.50, wyf qmmwp/0; *which calculation will give the answer with the most decimwmm; py0qwf*/al places?

  A car has a mass of 1000kg. A mouse has a mass oehc36thc3zrw h.f1r0, c mc5xf 10g. What is the order of magnitude of the ratio between the mass of the car to 3t c3rz1ehwhmr 5x c0.c, 6hcfthat of the mouse?

  A train travels $39.0 \pm 0.3$ meters in $3.265 \pm 0.08$ 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 sc 9r*cu ,z6.x brbsr7kides of $2.02 \mathrm{~m}$. 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 sx ;x*b(8 bvwvboe7k9e ide $x$ 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 $6.8 \%$ 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 using wyv.d/o x7ha vbt32v 8zi:m1spart of a metre rule that is graduated in millimetres, as shown below. w.oty2 s:h7vbdz3v8x1 /miva

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 $5.7 \% $ uncertainty in $V$ and a $2.6 \%$ 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 meamv/ d*tamr/a) sured to be $26.8 \pm 1.1 \; cm$. 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 $1.7 \%$ and the uncertainty in $l$ is $6.1 \%$, 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 esti9 edlmc0 asacmk/f)s 1z g l,kkc57l+/mated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differencefj 29wupmw3cn1:2 )/pegfavw ($V$) across a resistor is measured with a digital voltmeter to be $0.30 \; V$ . 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 measurement3,voydt l zu4toqj(: ,p3v i3ls of the same quantity which of the following can be lvtlyo33 ,itq4dz,(ujo v3:p reduced?

  A student measures a distance four times. The readings are :0*xqri 3va(v xmnnvq of x:9537.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best esti*95vxx:qmrvq v:if no3 n(x0a mate of this measurement?

  A student measures two lengths 5ki+wp 60oglxhkw7 i9as 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 mea un14c1wbk bq8/,ayu gsured 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 Q vpk8 al3 ts9q5varies is plotted. Theory states that P shoul psla98k5v qt3d vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown beyxfn3 apfihlib1 6hbu.t p*+3vr;7d o96m4vf low l3a6*i. vph6+f rbybd9fh 7;mu3o1v pf4tix n.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grzaznc5 /7k;hhxi ),y l,sp5aeaph is a plot of weight versus mass that includ5 l/z5;y)za ,epnsh,ik7 xahces 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 rectangular plate are measured, and theh :qs n+0rs87f hx7e.c c5we)g5s hrhm diagram shows the mea5ch8 h +he75: w fc)gnser0.s7smqxrhsured 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 measured*dv6eiy p347d 0r neysu(1y 6vzkjrl( with percentage uncertainty of 3%. The radius of the sphere is 3.4 ± 0.5 cm. Wk076re(4vn 6 dl*yy3yjs1v d rzp(uiehat 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 tge0gx/-9zg sbhat:
$$
P=\frac{g h^2}{u^3}
$$
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 measur b60zssl h;v*ne the acceleration due to gravity produces the followz lh 0;snbv*s6ing 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 measur 2;qe2c00ljbfb(or:wu4 fh pmement has an uncertainty oq;(4 e hf cm2bfuj:0lrowb0 2pf $0.5 \mathrm{~cm} .$

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 mass5,wxqrba (msbrk,lf24 n8zh( $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.0 \%$ 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 ofgti:p: 4v mpzwso3n+8/fpi )4i nyj8k the following statements is correcot 8p38isyjf4/m n zp:n)i:pviw4kg + t?

  A student measures a length five times. All,acsg nvjci4*6cvf on,(6 afb xeg*2 8 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 ± 0.2 ozhheae19k6 t4 s:pg-cm long is cut from a longer piece that is 12.6 ± 0.5 cm long. How long is the remahoe1hsktgp96e:-4z aining 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 2 \%$. 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 ± 1.1 N is applied to a mass of 2.0 ± 0.13 kg, causing it1ve3 3l6n*:u5e+u ontfncim o to accelerate. What is the percentage 53otime unfuc*o e6+n1n:3vluncertainty 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 ± ps4-3r zucw dr0 y)k7r1.2 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) %