Which of the following could be a unit ok;a bq;.fripol-ou )r)/xg0( xd2 dwuj dg9:of power?

  By approximately how many powers of ten is tdb2n/wn 56y0obrc,xxhe height of a human larger than the height of an/5dx, 6bcrw 2bny o0x grain of sand?

  What is the value ofnq a050 b5zzkt $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system?tp*jp* . 4ko1 z1jswh)invaj f*gb 4(k

  The volume of the Earth is approximatelyrrp5j3l0 si3 e9bp h6j $10^{12} \mathrm{~km}^3$ 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 ofx qhe+9a3 z)bb magnitude, the number of heartbeats of an average adult hehb+b )39xqaz uman in a day.

  Which of the following contains one fundam u-jk+r hpv.o8ental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the pg ia.m39m ce)most decimal placm3) a9mepg.ices?

  A car has a mass of 1009d4 yzbs 26nxy0kg. A mouse has a mass of 10g. What is the order of magnx2zs9 ynb4d6y itude of the ratio between the mass of the car to that of the mouse?

  A train travels $90.0 \pm 0.5$ meters in $3.143 \pm 0.08$ 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 jnj0(zvsth46 shape of a cube with sides of $2.39 \mathrm{~m}$. Each side is measured with an uncertainty of $1.0 \%$. 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 o 8os-qr:s ur4lf 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 $4.3 \%$ and $h$ is measured to $1 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencv -8.d:xgtlssx .;f 0c1wnbk ril is measured using part of a metre rule that is graduated in millikg. w lv-n.;1ft:bcsrs8 xxd0metres, 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 $3.1 \%$ 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 measur9*zg nqcq op 39bd g6yille4m/m:q6j6ed to be $18.3 \pm 1.7 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $5.6 \%$, 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 sin* 5xuce *2 5fpt*szpvdes of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 differenj 7p6kk. w/nf- 9qt ;d5dto4et kxv*ypce ($V$) across a resistor is measured with a digital voltmeter to be $0.53 \; V$ . 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 quantit;li s6vj6d 7sey which of the following can be reduje;lvd76 6ssi ced?

  A student measures a distance four times. The readings r)sa46w x9(dzmo (mbnare 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate obs( (xn4r)z6a mowd9m f this measurement?

  A student measures two lengths 1wr)8lln zjbyi18yiv1 ec0u9as 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 meas (a0 2f:z(vbpifax:aq ured 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. Theord-*fv /1u/amoz4n d iky states that P shoumdzvdku4//a iof-*1n ld vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as -sr4 gr: /dqdj33 onrmshown belowr:4 rr3 -mod/dgs3q jn.

What is the length of the pencil?

  The masses and weights of different ob8c cgizm)p8*-4kgvd tjects are independently measured. The graph is a plot of weigh it-)vc z*gcp84g8 kdmt versus mass that 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 a rectangular plate are measu(wlko1(c)v, oxa l9dired, and the diagram shows the measureda, l (9xwlkodvoi)1c( 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 mea-i n678chkth39smy g5n pfbm8 sured with percentage uncertainty of 4%. The radius of the sphere is 4.0 ± 0.3 cm. What is the percentage uncertainty kb-39g5fhn cms7iny p8 th6 m8in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thatnr)81ss yz2*vf suur*th3c2 d :
$$
P=\frac{g h^2}{u^3}
$$
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 wy h7.qq6( rbsproduces the following results:qyh. w( sbq7r6
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 n:agjtf +njql2;( 3cdruler, such that each measurement has an uncertaintf:2d;nj3 lnj(gtc qa+y 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 mass+x1 fs:4zm xkzc 88 q2uwf8*bjthsxv 2 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.8 \%$ 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-negligi .tsdh3q6 an dw6ci c1,gwnys/v6, ir,ble zero offset error. Which of the following statemenvc,,/w1a6s 3w dd6cisy6g q in,.trhnts is correct?

  A student measures a length five times. 2xdnk:y:/m :tii h; jeAll of 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 ± 0.3 cm l*q+anv 2wq7a fong is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is the remaining pievaq*+wa n 2f7qce 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 $\pm 5 \%$ 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 ± 1.6 N is applied to tlzb b1j( 1j5xww.33jvq;fcpl zt*0 oa mass of 2.0 ± 0.04 kg, causing it to accelerate. What is the percentage uncertainty of its accelp wx3l 1f(j; *tq5bcz .31zvj0obtj lweration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to bpojz:cid7;j 2g1 zqzf m9h9-se 10.0 ± 2.0 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) %