Which of the following 5g6zo:.6 o;ruoy3ms cm zjh7wcould be a unit of power?

  By approximately how many powerscmn p4ba t+)3b of ten is the height of a human larger than the height of a grain 3m)b cnpt+ab4of sand?

  What is the value of oj;rfij a;1b1 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in c-s+d3omnkr gq u17f6the SI system?

  The volume of the Earth mb8qlkqp:g3z+/ ;po8nl 0os x 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 yeb-pq0mi kw1gl,f h7(ce 5e ,of heartbeats of an aver h7q5fp, w- il1g(m0kyceeb,eage adult human in a day.

  Which of the following contains one fundamental unit and onej5y rhj*c4wz9qv +3-y u.bul o derived unit?

  If A=10.0 and B=0.50g2pgx/bh i/z8li:mt 5, which calculation will give the answer with the most decimal g5izih/g/m 2 t8p bl:xplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of ma(i/- rzri o4psldk/ w)gnitude of the ratio between the mass of twk4 rzi-r(/p l)/iosdhe car to that of the mouse?

  A train travels $80.5 \pm 0.6$ meters in $15.182 \pm 0.05$ 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 cub t-+b;cgiv.fz e with sides of $3.52 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. 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 ba+q(xvd 4ps5)dca(o b pj8f xu/se 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 $3.6 \%$ and $h$ is measured to $3 \%$, 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 eh /,0 pca 7m*mamufk -tois90metre rule that is graduated in millimetres, as sho0f ,-7 i9mh/etc ka msmp*oua0wn 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 $4.4 \% $ 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 me8 d43x,gq3 w,a)sus8 zdm z7- mxalevjasured to be $10.3 \pm 0.8 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $5.7 \%$, 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 ofxdav2-trqcp /0iy+.y a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 (hr j3(fho /ea:sby. jbju3i )1$V$) across a resistor is measured with a digital voltmeter to be $0.39 \; V$ . 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 0p d ft6dd(ozwfqe:g s0/.pz 2the following can be(z.w/oesdgzp q:p fd6020fd t reduced?

  A student measures a distan8 x,:,wnbq- s1nd+elds/ lfmxce four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, exwq:ln,8-, 1 xds b l+smdf/n38.2 cm. What is the best estimate of this measurement?

  A student measures twow pc.zcxvyf;ix 2:n6u 9 39nhc lengths as 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, a0i qt,i6/3d :9m -ydykt3mj .sua ntvj+pdc 0h 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 var /6wfde7fg: gdies is plotted. Theory states that P shof67w fgded/:guld vary linearly with Q.

  The length of a pencil is measured using part of a measur+*e46zi(j lnfiyjplwp9 x 89c ing tape as shown below.4l(9ifwx jjynp 8p * c6+zie9l

What is the length of the pencil?

  The masses and weights of different objects are independen+g59jnzqdxa4 tly measured. The graph is a plot of weight versunq a4+dx j5zg9s 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 measured, and the diagrart0q7 b(byqgm)f; / rbm shows the measured values with their uncergfq07bq)my/b ;tb r( rtainties.

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 with ix62m8,6ip)wtvq4n 7jv b jms percentage uncertainty of 4%. The radius of the sphere is 4.2 ± 0.1 cm. What is the percentage uncerj2 ,w)mjsmi b 764vtxn6iq8 pvtainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hadt4 s8ox0)gq3bvwh cdl- / h9ts shown 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 4 xo wfwifdgix 51xlqt+ybo4;, z2n((to gravity produces the following res1 oz+ n q4wxi(bigf5do;y,(x2 4fxltwults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usis2 b.p-01*xs bnkfk/hz-u2by b6ptuc ng a ruler, such that each measurement has an uncertainp h/b.*nt ubx1 -kk-scs z6bu 2pfb20yty 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+f5n+f*;rkyhh rj j3p uqv2)g $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.7 \%$ 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 the following stasae/w4vai* y *temen4i awy*es *a/vts is correct?

  A student measures a lengt 56vsavudh1khe)fbbe2 f76 z7h 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 9.5 ± 0.4 cm long is cut from a longeoir 3v5ql 4u1pr piece that is 12.6 ± 0.4 cm long. How long i4v1rq35olpu 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 3 \%$. 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 fdcn*m cig2(q 6c;vm6 to a mass of 2.0 ± 0.07 kg, causing it to accelerate. What is the percenta;6m*2 6ncmqig(cvcfdge 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 ± 1.4 cmcunvn9mwt6zrw i;70p*.t 5pq.
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) %