Which of the following could be a unit of pow8jtf7t 2wox sc8pw7 xlkb2g8- 2j8ccrer?

  By approximately how many powers of ten is the height oc,*sn)l ywlj3 f a human larger than the height yclw3, *l)n jsof a grain of sand?

  What is the value ofh, 99l g sfi*s/j 9ct4eypi+yo $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in uke :g+/q g1ivkc5h;nthe SI system?

  The volume of the Earth is approg+8d5fr 6u dzaximately $10^{12} \mathrm{~km}^3$ 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 h-)y:lr/wqct z eartbeats of an average aduqcw/:tyz lr) -lt human in a day.

  Which of the following contains one fundamentawd w9p-b;p d.m./kgq :ns yl3fl unit and one derived unit?

  If A=10.0 and B=0.50, which calcue-am xrmh0 e05lation will give the answer with the most decimal pl-xe00h5mm raeaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the hz9ikx o-s4,:bh 0/x8 go lvfnorder of magnitude of the ratio between the mass of thk80h/z oxh x,ln giob9f:sv-4e car to that of the mouse?

  A train travels $85.6 \pm 0.4$ meters in $3.418 \pm 0.07$ 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 sh zj(uehkl)p3 z up(ek;y6ym *9ape of a cube with sides of $3.00 \mathrm{~m}$. Each side is measured with an uncertainty of $0.7 \%$. 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 ru5ni94buo e,sn5gh( $x$ 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 $4.1 \%$ and $h$ is measured to $2 \%$, 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 grja ,yz 3mr9kier8+m9eaduated in millime3jay+9z8ree i9,k rm mtres, 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 $3.2 \% $ uncertainty in $V$ and a $2.7 \%$ 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- 065kyv/ctxlck6jmq3 ,(2rfvsqcboed to be $24.8 \pm 1.5 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $5.3 \%$, 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 swsjp2 .f9 :czv*p qz0uides of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differenco4 dybqrpc 7*1 7qbcd3e ($V$) across a resistor is measured with a digital voltmeter to be $0.54 \; V$ . 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 gt-w3(xz / 8qo fy.uazof the same quantity which of the following can b-u y83a(z gqwfox/t .ze reduced?

  A student measures a distance four times. T8rnyb.i sz.2 h0nqj b,he readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estib,yrnznb2 i. .s0jh8qmate of this measurement?

  A student measures two lengths asls7mmswm 7 hw/tib:7tu-z-x7 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, ;e* 7+b+4iw ljkpgy iuare 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. Theoryn-g/iyp /)btc cpe6 ,c states that P should vary lipgy/bnc ,pe-)icc/t 6nearly with Q.

  The length of a pencx c-:n+(ogf3o0ph)ua; pusdcil is measured using part of a measuring tape as shown belowc-oa;xgd 3+np)(: uph s 0uocf.

What is the length of the pencil?

  The masses and weights of differen 79z b:mre6 y;vhaqn*ht objects are independently measured. The graph is a plot of weight versus mass that includes err*;ab rm 6y7vn9heqzh:or 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 siden axy6i2fgw5n*42 l s4qdk gl+s of a rectangular plate are measured, and the diagram shows the measured f2d6*x4wll isn 2 gqnag5k+y4 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 wit6eyrj+tidw*,0jn2mhi gl +1z5zik7 xh percentage uncertainty of 1%. The gjei + xkmw0127yzzd,tl*rhj +in5i6radius of the sphere is 5.5 ± 0.5 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 yjon8/p*x1v: p(hjx 4bl:hu nshown 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 produces tht:uyq9agd n -i05gq3d e followi9gq3dtnyuai g0 :d-5qng 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 measurex4 7jjtgr ug75ment has an uncertaint5gtu7g4r jjx 7y 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 8ww1f/vp 5ism.0fk; i o*lqqbs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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 ttql (aho;no3+ he following statements n+ohot;q (al3 is correct?

  A student measures a length five times. All of the measuremenxbpngw j6 3h0-ts 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 long is cut from a longer piece b1y31q plz3kt.6 k*o1lgrsb z that is 12.6 ± 0.7 cm long. How long is the remaining piece of strit*.6y k3 l1psz qob11 3zgbrlkng?

  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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 2 \%$. 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 ± 0.8 N is applied to a mass of 2.0 ± 0.u1bn it.h7d3 d24 kg, causing it to accelerate. What is the percentage uncertainty ind dt3bu71h.of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wipaq,w ;1lg1oae1kt l 6re is measured to be 10.0 ± 1.4 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) %