Which of the following could be a uni-t ge7ajupzmy.hu6 xc: (h17 dt of power?

  By approximately how many powers of ten is the height of a human larrttj :l emw/05ger than the rt/w0jt5em:l height of a grain of sand?

  What is the value of f m lwyw0wb-7)wu w*a/$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SIx dq7 124 7sv+swu;xn z2xlqzb system?

  The volume of the Earth is approz0 t;h io7+mj9bvl *ctximately $10^{12} \mathrm{~km}^3$ 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 ojr ad54am( dmmr*i1ep9f8q, 0d: jbxgf magnitude, the number of heartbeats of an average adult human in a pa 8gdd(4i5dxmqjm1*r,j0a9 er:bm f day.

  Which of the following 0,mz,fsh d q8;lm ;chjcontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calcurtb0c4/(hksjo* b rk ;lation will give the answer with the most decimrroj4 hk0tb ; /(kcbs*al places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of mag ou ik3r2c:2n8b*:kpzdpr3 j mnitudpcpb3 jor2mz: *n 8urik3 :2dke of the ratio between the mass of the car to that of the mouse?

  A train travels $87.1 \pm 0.4$ meters in $8.687 \pm 0.06$ 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 s pad/ vebwo j/:m:2b/hhape of a cube with sides of $5.10 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 squaresyxns gs b 5+rt0v. li*x/n(3h base 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 $4.2 \%$ 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 gru4 m5owepcf+2aduated in millimetu2f ew+cpm o54res, 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 $3.7 \% $ uncertainty in $V$ and a $1.0 \%$ 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 measub1(v inc7dc9l9/ p epered to be $15.2 \pm 1.2 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $2.8 \%$, 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 w:zh+g 34ft 6k: cu-r+lxd ygkof a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 t p 1ua:qv+om5($V$) across a resistor is measured with a digital voltmeter to be $0.12 \; V$ . 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 +uies;h,ua o,15vs k )j3dx wpof the following can be hsdo 1+au,vw xs p, j3e;5uik)reduced?

  A student measures a distance four times. The readings are 37.87+xjaaz*5hlbj lqv u/o.g (7t cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremenhz(oal75gxja7*.ljbtq/ +vu t?

  A student measures two lengths as follows4-1 wfn g a:cdadph.-b: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events,4+o,byhhb1 d 1ko,x n3dcq9 ah a and 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 vari+ n o1zjywi;r*es is plotted. Theory states that P should vary linearly with +nj1* wz;yiroQ.

  The length of a pencil is measured using part of a measuring tape jearp05iu yeb*:mx1wt+, b; )cevso)as shown below )m+ ,x*oe05)rt:c; yvjwipae sb1bue.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. -ev bi/x5b(zyThe graph is a plot of weight versus5iyv/ x-bbe z( 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 measure:uwfqvd oe a k:.anxwde8)+8 3d, and the diagram shows the measured value vk)q+.x wf8 3ed:owde:a aun8s 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 solidot)v31xnc -zyb7 n4jd2t pw 8s sphere is measured with percentage uncertainty of 6%. The radius of the sphere is 5.5 ± 0.2 cm. Whsyp1 2nxv4no3 wz)t8-dbj7 t cat is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has szghqu3v;cuwuu;u f odv,5k-6ruhsx+o /o( 44 hown 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 p9twqk+)x r4 ir9cd ,nbroduces the follobrxkt+dir9 n49c , q)wwing 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 rn 3yxrx:. ry u0qh ,zsp477odkuler, such that each measurement has an uncertainty ofzpy oh7dn0 ,xyk3 uq7 4sr:xr. $0.5 \mathrm{~cm} .$

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 massn bc:r-yfl:ih63c 5b p $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 offse i+p(voqn,m 8ot error. Which of the following statements is co(, o onp+qmi8vrrect?

  A student measures a a ebgiibj (yk(pb8wu,e65v2 )length five times. All 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. at.-w.qk+.jh 4*rhwk4gnyg z5 ± 0.3 cm long is cut from a longer piece that is 12.6 ± 0.5 cm lo.gn4-rkwz .kh 4gw*qtyjh+a .ng. 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 $\pm 7 \%$. 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 ± 0.2 N is applied to a mass of 2.0 ± 0.04 kgb:sv7t lhn8a4, causing it to accelerate. Wh:s 8ta4 bl7vnhat 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.w(9 iqy +nm*u1n p0j (+vlgqra0 ± 1.7 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) %