Which of the following could be a unit oftm 0gtttj. plo )5bcf/eaff / -f -kz7hxj4+2z power?

  By approximately how manoj6m hah722gai)lq-s bx4)en e csz.8y powers of ten is the height of a human larger than the heigb 6j)hx82z4-7eqgs). 2 cm hanaesiloht of a grain of sand?

  What is the value of vbvkkj o olo)5:0p q l :8n-dmx*rk4,z$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in fcimn 8 yzx/q89teeue: l(5+ lthe SI system?

  The volume of the Earth is approximat4; c2z:mmvieiwk ytk,nw g*9 /ely $10^{12} \mathrm{~km}^3$ 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 x phei2;5jzp 8(2bg0woqoh9 3xq0ulxmagnitude, the number of heartbeats of an average adult human in a dayw0e0(3xqx5lp292 8 xogohhiq pzu b;j.

  Which of the following contains one ;bzwc y -xjxf03 ;d8bvfundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will giv: rxrbo): 6cowe the answer with the most decimal place6x:)r corob w:s?

  A car has a mass of 1000kg. A mouse hasnqmju8k 24b/d a mass of 10g. What is the order of magnitude of the ratio between thedmbq/nj84 u2 k mass of the car to that of the mouse?

  A train travels $65.7 \pm 0.5$ meters in $11.795 \pm 0.05$ 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 cubd7ot7v9a g* ode with sides of $3.67 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 ; z:smwk-w if-w6xzx0base 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 $8.0 \%$ and $h$ is measured to $4 \%$, 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 rule that is ew1d ba x 60k3on1hwu c*n1c1ggraduated in mi 3ngc uw1o1dkhwb6 110*na cxellimetres, 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 $3.5 \% $ uncertainty in $V$ and a $3.3 \%$ 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 mszl39ig3. :e; ciow 7y+cdufkeasured to be $26.5 \pm 1.7 \; cm$. 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 $5.8 \%$, 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 l0a 0fjcx 8bibr(7iif (e,(dproom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 ( 3d2 5poi itmlo(bx)c-$V$) across a resistor is measured with a digital voltmeter to be $0.33 \; V$ . 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 followi9: ol,uag(ywi scd 6z0ng can be redua( zsd906c:l yi, woguced?

  A student measures a distance four times. The readings are 37.8keag7 qi)l5s pdcs.:4 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of le :sk4 5 asgi).7pcdqthis measurement?

  A student measures two lengths as fol) ape6qysxl 6qhr36uh +t3my9lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to (1esfrpms c6ip9nfb ke: 24c8be $(5.1 \pm 0.1)s$ 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 qu*.b t sonb5sb9; o4ektantity Q varies is plotted. Theory states that P should vary linesb4os;ob5. t nke*tb 9arly with Q.

  The length of a pencil is meaznqv mzoh)u(7 q1+bj*sured using part of a measuring tape as shown below )zm(nqbjv1o7zh q*u+.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The gr :hkf1yrjtn0p6z/(n- s0pm4mzbg)nw aph is a plot of weight versus mass thatg(h:4p)k zp/1rmy0 6bnwmn- tf0jn zs 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 of9m 3 hjh/nujzc2s ,.bt a rectangular plate are measured, and the diagram sh stb3.hc/ m9j u2z,jnhows the measured 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 percsleo) n1hg.*-ntyb 2tentage uncertainty of 7%. The radius of the sphere is 2.9 ± 0.1 cm. What is the percentage uncertainty in the mass of the spy-lbng.h1 eto n)*s 2there?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that x0-v51qenv kz:
$$
P=\frac{g h^2}{u^3}
$$
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 duef,jt ,4s(q9 w,owzc me to gravity produces the follo zc4w j,to,sf,(q me9wwing 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 usingo5 9emg 5glb2q a ruler, such that each measurement has an uncertainl59qg2 oe bg5mty 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 /0lz/s2ux hhhz6b ;ksge6h8 ;zw7vfas $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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. Wl( pi*xq7 fi9t+ so,fshich of the following statements is *,9o f(ix tqfis7lps+correct?

  A student measures a length five times. All of the meas5o2uaga g)hn xy0-;fu7ih u d)urements 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 ± 0.4 cm long is cut from a -)xsit ht+h0n longer piece that is 12.6 ± 0.6 cm long. How long is tit+ -ht x0ns)hhe 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 ± 0.3 N is 4rgp e n1tmiaf ,ah8 s)p7d2 v+x6q.fzapplied to a mass of 2.0 ± 0.11 kg, causing it to accelerate. What is the percentage uncertainty of iti6 vf,+d2trg4 f7apea18x.z hqpsnm)s acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to becj- vhrst :hck9p:*t : 10.0 ± 2.3 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) %