Which of the following co0 ;-6)dxca 2icmbv b,nmcqs*ould be a unit of power?

  By approximately how many powers of ten is the height of a human lr em2xm--ov7b n*l,( 6jiu zldarger than the height of a grail6 xznbr- j,melm odiv*2(u7 -n of sand?

  What is the value of (;z5nlr+ 4cj :qq0jzy0zp1;wy xxq2dvybm v ;$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a t4mrgrwg +c )k8dxs(*fundamental unit in the SI system?

  The volume of the Earth is approximatj 4z3 sje8wme1vt1 ;cfely $10^{12} \mathrm{~km}^3$ 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, th/ ( vks q.jywrye1 (7bz/e9afne number of heartbeats of an averageysjq k/1z.wb(r 9fe/v (yan7e adult human in a day.

  Which of the following contains one fundamental dhbeen*jra0tgjt 2 )o5ls4 /7unit and one derived unit?

  If A=10.0 and B=0.50, which calculatvew1o2xl 8s7f 0+jrfw ion will give the answer with the most decimal plxvolf 1we0+s wj2r78 faces?

  A car has a mass of 1000kg. A mouse has a mass of v s7(jvi /9toy10g. What is the order of magnitude of the ratio between the mass of the car to that of the mousejy o7ivt/sv( 9?

  A train travels $65.8 \pm 0.6$ meters in $7.833 \pm 0.08$ 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 shag4 s7i mhkd7c,pe of a cube with sides of $3.32 \mathrm{~m}$. 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 square base qz*lshywu 6t.4u /+ltof 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 $6.5 \%$ and $h$ is measured to $3 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is mes:v3uj)fo s 8;wjg oao9 nw, dq:;0mceasured using part of a metre rule that is graduated in millimetres, as shoe93swoaoj)cjfw0s; ,o8n;m:ug :dqv wn 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 $4.2 \% $ uncertainty in $V$ and a $3.2 \%$ 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 is measured vt( uj:;noxvlwb,ay:n(zd24 to be $29.6 \pm 1.4 \; cm$. 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 $0.4 \%$ and the uncertainty in $l$ is $4.6 \%$, 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 l5xs:m d/9+ hg.r lsf+ 6rnlv(s.blnv a room are estimated 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 differenp2c *h.op 5mv8svqs.b6fk0 rgce ($V$) across a resistor is measured with a digital voltmeter to be $0.35 \; V$ . 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.lylsf zkx2m5oe6 84g the same quantity which of the following can be reducyelf g8zs4k2 .lm o56xed?

  A student measures a distance four times. The readings are 37.np0vrw) k 1*zq8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremz1 *nw0p kqvr)ent?

  A student measures two lengths as folz-7l1ng; qc9kf;vkjsjf9n( r (,w ved lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to be aki1 5evs-,gi$(5.1 \pm 0.1)s$ 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 ng- kn3 2h+r hwf1: yduyak;f.varies is plotted. Theory states that P should vary linnk:2+fw1nk;gyh afy3.h dr-u early with Q.

  The length of a pencil is measured using part of a measuring tape as shown bc u**5z(jc wfbc xk2p6elow2c6b* cwp jk*f5cxu (z.

What is the length of the pencil?

  The masses and weights of different objects are independentlynikk6.ct-,*kz v(-gq k+f xzc measured. The graph is a plot of weight v,g*vcc6kk(+ ixz k.nf q-kt-zersus 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 rectangular pf*lj6.8u casm. zx:, x 5btfbu.zh )lhlate are measured, and the diagram shows the mebt5 .ul 6f* z.)hum:xj .zahbl ,fxcs8asured 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 with percentage uncertainw+ f5kren. *q .4k+2dldmzcfpty of 6%. The radi4.+kmn +kwzrql5f2e d* p.cfdus of the sphere is 4.2 ± 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 c7v-w0v tis0rc *egik*djen54o w0/kb 0jk1athat:
$$
P=\frac{g h^2}{u^3}
$$
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 gravity produces the folr woy0jig )d .waw0w4-lowing res0jwo.-arg d)y0i ww4wults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 tvhd,c z x(d/zun7 prqt7/8jf// zhaf 7hat each measurement has an uncertainty ///zchjuv, /87d(aq7rzxnz7pd t hff 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 mas(1peh5 e7 k,oizve1 zr3uuly09yc1ops $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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 statet( w+ 4borearsc0za.xd6q 91 dments is co zc wrdqd+otb1aex09.4as (r6rrect?

  A student measures a length five times. Allg8kj;qx1cebyo k3fx8 -c xyg1 d(t;*f 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 cm long is cut from a longe dr0/dtv(/eor nm) 3 9b(rsmlrr piece that is 12.6 ± 0.2 cm long. How long is the rebrr) (tre3v/mrnd 0do9m s /l(maining 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 $\pm 4 \%$ 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 ± 0.8 wiyu+q sp1x rlyjv8-qq);/m9 N is applied to a mass of 2.0 ± 0.21 kg, causing it to accelerate. What is the percentage uncertainty of yxs- mquqw rpqj+9 ilv;)8 y1/its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circletgzfs9i 0a n, rr:3)p2mwr:x r of wire is measured to be 10.0 ± 1.8 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) %