Which of the following could be a unit ofid5d(eg. uq4 c power?

  By approximately how many powers of ten is the height of a humacw9oc n+s ;)scx9d. qrn larger than the height of a grain of sand?s x9cc).s;q+cdo wn9 r

  What is the value ofj d 4,7on 4or8cvbbgft: 7s,ts $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the ,ys r,1fp ny31btrc y-SI system?

  The volume of the Earth is approxqm0g3od-x*f /t)stjj imately $10^{12} \mathrm{~km}^3$ 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+0t ektmw *,zb(o mix( an average imwtkmx( b e z(+,0ot*adult human in a day.

  Which of the following contains one fundamental unit and one derived 9d(p93++g qhbqc0k5yahe emx unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mosyj;6: whc )yg)fr o99l+8xszlg t q*fet decimal places f; yr y6 wlggco9)xet8*lj:f+9 )hqzs?

  A car has a mass of 1000kg. A g;4vm adn+1mz7e rgz *mouse has a mass of 10g. What is the order of magnitude of thz7 4aegr;zgdmvnm1 +*e ratio between the mass of the car to that of the mouse?

  A train travels $79.6 \pm 0.6$ meters in $12.962 \pm 0.08$ 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 shap5yn(+(w ;jzq2kxbvkq e of a cube with sides of $3.07 \mathrm{~m}$. Each side is measured with an uncertainty of $1.0 \%$. 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.9lk+hw: fh,ybopw. pby iz 5( 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 $7.0 \%$ and $h$ is measured to $5 \%$, 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 part of a metre rus1,b :s4 syewule that is graduated in millimetres, s:1es 4,bsuywas 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 $4.5 \% $ 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 balloon is mevi6,;mj-vk wc asured to be $21.3 \pm 1.8 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $6.8 \%$, 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 estimatewi/;mr tt-0imcjq; 8 xb2hdg j(/ ny9xd as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 q2(nb gco *;yi70trlw ($V$) across a resistor is measured with a digital voltmeter to be $0.76 \; V$ . 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 fol(6 6msj6itgek lowing can bemi(j s 6kgt66e reduced?

  A student measures a distan bc*rbxg59vc 0)/clsl *,cmy uce four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cmb9x*v 0,csm crlbc*g / cu5yl). What is the best estimate of this measurement?

  A student measures two lengths /t9-j plx-+bjd tudo(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 hqbi50w lz-*5mjjno6o t0r 7mto 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 is plotted. Theory states th(e52r ds csbv tx9-dssd:)y8cat P should vary linearly wit ecddxd(vt bs58sc2 sy -:s)9rh Q.

  The length of a pencil is measured using part of a measurinicj4jf wi0rd6v .u u*/g tape as shown below.. uu*cwd0f 4jj6ii/v r

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Thdpr; e7 (j4pf.5rn ugde graph is a plot of weightreg. (ddp45 7pf;r jnu 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 rectangular plate are measured, and the diagram sh .m.,)uq4lm*aky 70s ub xipixows the measured values msi. mp*yal7i)0u .xk ub, qx4with 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 measur.z xul 67rmh.ced with percentage uncertainty of 3%. The radius of the sphere is 4.4 ±7h. cxm6rz. lu 0.2 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 show 3- mt .9dl0j1kn4fqx2ckaefhn 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 acceleration due to gravity proo v8z3c xt4,coduces the following result48czx cot,3 vos:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rulefenqc9(.9j g,o fuye;r, such that each measurement has an uncertaineuoc(g,9y fnj 9.qfe;ty 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 jsct49w +tm8gq i,y+b $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ 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 followin bpz :azqvl vi0b07pva8+1.zy ka 8ez.g stateme az807 zl z e:1v.vp+zbkay0.bapvi q8nts is correct?

  A student measures a length five times. g1 noeu)tddal t ;9 0m0)gnyi6All 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 ± 0.5 cm /vci945gsjs5 qzcqq; a)pbf;5r t c s2long is cut from a longer piece that is 12.6 ± 0.3 cm long. How long is the remaining piece of str 9fq ;5c;a5 irs)z42v sgcb5sqj pcq/ting?

  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 $\pm 3 \%$ 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 ± 0.2 N is applied to a mass of 2.0 ± 0.23 kg, causinh+gsd0,pt/tdubmhr3 s;x /b 4g it to accelerate. What is tg sbu+/pbd;hhtt/ xm sr0d34, he 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 be 10.jmxn5.)m 9h/(;j/r pa*exr *dvervf v0 ± 0.6 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) %