Which of the following could be a unit owp bl9 gftvy(3obv(:+f power?

  By approximately how many pjewy kc y7u1u r,s*hq*:8xd,rowers of ten is the height of a human larger than the yqj cx*,w1su7*:8dure ,rkhyheight of a grain of sand?

  What is the value of mc awr/tn-47 r k6f2/wbt;l tf$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the S/f /uhrqtd f5uf(,1he u e fvua;(t9u)I system?

  The volume of the Earth is a/4dpugco 9f(u pproximately $10^{12} \mathrm{~km}^3$ 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 i7jxihnd2*l. t(3ke i ,/whwf0) krlhof magnitude, the number of heartbeats of an avera )le,wxk(20.hhjhi7kinfdrit w* 3l/ge adult human in a day.

  Which of the following contale7hc2k9(ukoe 3ybnl6fuwu xuk) : (/ins one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mostdo 0 7q,r)swga decimal pla,gso0r dw a7q)ces?

  A car has a mass of 1000kg. A mouse28q, ikhs9cdq has a mass of 10g. What is the order of magnitude of kq2hd8c ,qi9s the ratio between the mass of the car to that of the mouse?

  A train travels $63.5 \pm 0.3$ meters in $4.014 \pm 0.07$ 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 flx2 o22x q0cccube with sides of $4.79 \mathrm{~m}$. Each side is measured with an uncertainty of $1.9 \%$. 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 +f443qo:bkr q(zny hy 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 $8.2 \%$ 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 nafgmsg ,.y cbb,vo*/9b 7/v vof a metre rule that is graduated in millimebvygg,c / ov/7n m.,sbv*b9fatres, 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 $3.7 \% $ uncertainty in $V$ and a $3.0 \%$ 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 measur*4, dtca7n qvu3v 8/8alibzwoed to be $20.0 \pm 1.8 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $2.6 \%$, 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 room are estimated-tatwqaf+xd,j b/(l5 as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 differenceu9iynmo.j hrm67 qm/ ( ($V$) across a resistor is measured with a digital voltmeter to be $0.12 \; V$ . 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 measurementsbm en..+:2yxji-mqn .yml d )j of the same quantity which of the following can be rqn:mnji )+mx2 m- . ..bdleyyjeduced?

  A student measures a distb83u2/elv9, uribvt+aet , k wance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurementbu89vt,2awtb 3/+ uekl i, rve?

  A student measures two le,7jxmc np.x;n gzn e b,ryy*z d,no-96ngths 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 evens ndvo1br.51v. ods +lts, a 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 as quantity Q varies is p0ch/1uv e0w -vuvio(zlotted. Theory states that P should vary linea01o0- uu zvihew/v v(crly with Q.

  The length of a penci) b v9;rqvgb(u7nsk/xl is measured using part of a measuring tape as shown below rv 9b(;/xn)u vq7bkgs.

What is the length of the pencil?

  The masses and weights of different objects are independently mer x;l, t f+pv /msf2mb-v,e2uggnqg3;asured. The graph is a plot of weight versus mass that includes error ba;rxtn, 3ev-lfg;/g2 v,+ q2b psmmfgurs.

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 m5a,dhwgf9ug9j 4e, .) rxckpxeasured, and the diagram shows the measured values with their uncertaintieug)4d9k9 jaxp f,w ,cgr5x he.s.

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 wi-r32os*s l-6j.iykj: h ofl ymth percentage uncertainty of 4%. The radius of the sphere is 5.9 ± 0.5 cm. What is the percenhoji-:o - 6ysj rsmllk23*yf.tage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasy5y qz d;xehgvbg6a- x y-z(89gjt)v1 shown 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 gravi dp 5jovmu b-z :*g;job+;upz7ty produces the followingb z u5oj :z*bp7um+gdp v-oj;; 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 ecmkxs4xn7 a3qt7 7wp7ach measurement has an uncertainty of 7qpkwxtsnxc47 3a7 7m$0.5 \mathrm{~cm} .$

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 massff z 80jqvl,;4h)lsdo $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.9 \%$ 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 rq 67wt 9ca/lnv8xhp3 statementsqa tv/ c p3h7r6x9wl8n is correct?

  A student measures a length five times. All ojy durx+e 3 ui:d1aa41f 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 longufd7ndo e2 xf8. bz-2j is cut from a longer piece that is 12.6 ± 0.7 cm leuzdx n. 2f-j7of2db8 ong. How long is the 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 $\pm 3 \%$ 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 ± 1.2 N is applied to a z*ctf u1 0yywej0oc,3qs20jkdyby. 3 mass of 2.0 ± 0.04 kg, causing it to accelerate.fc. cjj0d3 y3w2 y0y o*,k 0sqeybzut1 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 be 10.0o/q d(qdz40n d390rqlylk 2m k ± 1.1 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) %