Which of the following could be a unit owook -qc,-z ;sh/0zyrf power?

  By approximately how many powers of ten4ra4ooshu:: oa30mp e9a1dn i is the height of a human larger than the height of a grain of ma :ooo4hp 3:rn a1e4s0a9diu sand?

  What is the value ofxk,dep.0(c.p e wcrx)o:2 lbm $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit o84i r3,*9jpag6ftvhwg /m eg9hhj5 uin the SI system?

  The volume of the Earthr8wid,l,,c+/ n-xhslw3d z oxl3mf z ) 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 magnitude9y83opn ft q,u.v*go ji)fnajmr: 1g:, the number of heartbeats of an average g::1*jqug,yf f8o)9tpmiv.j3oar nn adult human in a day.

  Which of the following contains one fundamental unit and one derivev3uxmmt3g83gbvt1c 6(0ga gkd unit?

  If A=10.0 and B=0.50, which calculation wifl r0)h3m8m wsll give the answer with the most decimamlw8 mf h)0sr3l places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of md.x j fmzmy r;nclalp -,x)2)3agnitude of the ratio between the mass of the ca)mzn; cx-yj3x,f. 2l )apdml rr to that of the mouse?

  A train travels $43.5 \pm 0.4$ meters in $3.314 \pm 0.05$ 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 cube with sides of wj3z* xtv +b0+fqkc;:k ;pwon$4.63 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 side xl4bz)9ab3es $x$ 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 $5.4 \%$ 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 pare h. (akeuta3*t of a metre rule that is graduated in mu.k(t*a 3e ehaillimetres, 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 $4.8 \% $ uncertainty in $V$ and a $2.5 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloonus o:y1 ifcort k2,y;.g o9 5jeovuj,+ is measured to be $22.7 \pm 1.2 \; cm$. 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 $2.2 \%$ and the uncertainty in $l$ is $2.4 \%$, 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 as z2v-l s9,zgag :j01b9os1pjj s3yrgi$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 differencef koybmi, nn3qw6+4x0fvy6 4i ($V$) across a resistor is measured with a digital voltmeter to be $0.47 \; V$ . 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 same5 ssu ::c0ngvn quantity which of the following can bnsc v5n :g:s0ue reduced?

  A student measures a distance u7nsks3y5x ) qu eq/5cfour times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 3 n /se7yucs53quk q5x)8.2 cm. What is the best estimate of this measurement?

  A student measures two lengths hzb,jxi32r-9f6xy+ 6y 0p 5b j dsmvwyas 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 idzr1 +)iamh) 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 quanfvvpu 3kb/-j h(qd9 ;itity Q varies is plotted. Theory states that P should vary linearl-ik /vp (j;d9f3 buqvhy with Q.

  The length of a pencil is measured using em 82odi8;kcg lide+ a1-yko0part of a measuring tape as shown below-+gm8 ;ikl08oi 2ykacedd eo1.

What is the length of the pencil?

  The masses and weights of diffeq4 rke)jl8adrn06/ se rent objects are independently measured. The graph is a plot of weight versus mass that includes er 8kl rdeq)4n r6e/a0jsror 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 td2bbkfeqru0 pb 5k 30n7s2th1he diagram shows the measured values with their uncertainties22u0qdn50b 7sfhb p1bk 3rt ke.

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 *pmj( xp+3rje sm+ku6 bfj(2s measured with percentage uncertainty of 5%. The radius of the sphere ij s2 u(6p kj(xmfb+je*3+s mprs 2.5 ± 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 shown thasxkvbv,9*: ea y8cl/ qt:
$$
P=\frac{g h^2}{u^3}
$$
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 kc3r *bi7k zjt-(xx c2sl i4k5produces the following results 7kc*k xrzi cxi-sk(lbjt 4532:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 hauz 4o;v:s1 xsrs an uncertainty oxs;v:u4orz1s f $0.5 \mathrm{~cm} .$

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 masrx )fcl651ripi,cmk 4s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.5 \%$ 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 era pp:c/7nnrb7r 53 aeeror. Which of the following statements bpar:c/ne7 7 5pnr ae3is correct?

  A student measures a length five times. All of the srsss,fx(hty - 7h 3 r;fjj6k;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 ± 0.3 cm long is cut from a longer piece that is 12.6 ± 0.6uf1f r 7;j+mi jruhe,g-e/lh4 cm long. How long is the remaining pier if 7 jmlujer, /gh16u+h-;fece 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 ± 1.0 N is applied to a mass of 2.0 ± 0.16 kg, causing it to ai/rhhtze3c i ehs9; 68ccelerate. What is the percentage uncertainty of its acec3he hh;z9s r8 /t6iiceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 kmphx3f+)yfx5(vubr - - 0eqggr:jy 1± 1.5 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) %