Which of the following could be a unr, 1:m81/bjs s qyc;;i.srkqdqis,w dit of power?

  By approximately how many powers of t;j)ym9 eb8sc1a ns* zsen is the height of a human larger than the height of a grain of sand 9csj m*8byns)e;z1a s?

  What is the value of 5. lz8pxka, sj$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental 16 jnn tk;(vo:ofyly ,unit in the SI system?

  The volume of the Earms ,i1/sr//hpskuf u 7th is approximately $10^{12} \mathrm{~km}^3$ 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 eox:m)dem.+e qb1lb) an average) exlbde1 +bm:) moq.e adult human in a day.

  Which of the following contains one fundamental unit and one derivehav/ m4ap /zj7d unit?

  If A=10.0 and B=0.50, which calculation w))l e2,mqzy2hu 4 ortwill give the answer with the most decima2,uwyht q2)l4 z)ermol places?

  A car has a mass of 1000kg. A mouse has a mass of 10g 14h-xwd pbm;v. What is the order of magnitude of the rap;v4m h1- dwbxtio between the mass of the car to that of the mouse?

  A train travels $91.5 \pm 0.7$ meters in $4.171 \pm 0.07$ 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 cube with sidespyokv-*v1excr xx4:x6o0 .bg of $5.12 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 base of si-av. x id.nawtn /zf:.de $x$ 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 $3.8 \%$ 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 pxv bs 535vo/unart of a metre rule that is graduated in millimetre 5/s3bx u5vovns, 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 $4.2 \% $ 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 measured to be m)e f 2m/ y(ep;h.kjpsdzu4+ i$18.2 \pm 0.7 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $2.0 \%$, 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 ash ,xi06ewi.uqmz b gfx zr4y,94cr d4. $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 difference ae3m-w,eb -a n($V$) 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 followingmrew7n m7p ;( j4qm+pm78inzx can be reducep8znmem+47xnrjp 7 7wq(mi m ;d?

  A student measures a distance four times. The readings 8gl/sizsu 4 vd6*v wb4are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremenwlz*u4v8d6s igs v /b4t?

  A student measures two lengths as follow/8nwm 4rz-j xds: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and j.m(5( tgo0v* zszsnxm )faw6 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 plotted. Theory stat lpuoq5a mu,39es that P should vary linearly,u 3p9a lmqou5 with Q.

  The length of a pencilzlr,c f:yc .b.5 v.t2vcw:5gwwnyz d0 is measured using part of a measuring tape as shown below.w 5btzdwv,0w5vg cynfyrz: : l.2cc..

What is the length of the pencil?

  The masses and weights of different objecn 6vblfa*+ni2ts are independently measured. The graph is a plot of weight versus mass thafb26i lv nn*+at 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 aasbhh/2+ik epw(t -l: rectangular plate are measured, and the diagram shows the measured values with th-/(+p lk:2 thhiawbseeir 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 wi;+ -grfvl ,ptmth percentage uncertainty of 5%. The radius of the sphere is 1.1 ± 0.3 cm. What is the percentage uncertainty in the mass o,+-m pt grv;flf the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has s w28t9hw+nl w2muwv3bhown 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 gravqi/w- 7yj .3cw4 flsibity produces the followin3/4 cswjqiyi .7-l bfwg 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 measurement has an unceredn1hshs)d w8 z rs2jd /;8un5tainty o8n)21dw ;r 5zsjh8se/ dduh snf $0.5 \mathrm{~cm} .$

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 pqrd+wh dq313*9 kw ry$(2.0 \pm 0.1) \mathrm{kg}$, 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.v)f7b;wq3hz1p 6y mzwm .tqz) Which of the following statements is correct?z3wf;zm h qztwq61.bm)y )v7p

  A student measures a length five times. All of the measurements lie betw o;my,h2a/33yexnqab een $18.8 \mathrm{~cm}$ 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 cmfw05i+wqb cz 0 long is cut from a longer piece that is 12.6 ± 0.3 cm long.bw q+i00fwz5c 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 10 \%$. 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(nn5c kmr2g*yuwc5y .,ay p2c mass of 2.0 ± 0.19 kg, causing it to accelerate.a2*yg n52r, yc( pkcwunyc5m. 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 10.0 ± 1.:g(1hmymfm a 13 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) %