Which of the following could be a unit uq;)m5ri(+vjau 7 tly of power?

  By approximately how many powers dk9rj8xq yy(u k8 -tx*of ten is the height of a human larger than the height of a grainu9y 8xr8kdx-tj yq (*k of sand?

  What is the value of 0f gi9b10e2cog imdd. $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamenta3ygkm y r*i) e esw)k6oxf87z,l unit in the SI system?

  The volume of the Earth is approx e(phlzhp89u bh vsv.9svkr)+xe),9 dimately $10^{12} \mathrm{~km}^3$ 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 num yixl5e8vll1r mc* bm7 2zng:*ber of heartbeats of an average adult humavi7*e8ll:x cy lbg*r 51m2mnzn in a day.

  Which of the following co9s.j3gnachil : jpu(brsfeey *. s,:+ntains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calchqjf*+ulz -2ph3 a z4uulation will give the answer with the most decimal placesz*-hl4h+2aj p3ufzqu ?

  A car has a mass of 1000kg. A mouse h.a:x)-xttmiy gihbi (5o0. peas a mass of 10g. What is the order of magnitude of th yt. ix( 0g5hp:x ime-ati.ob)e ratio between the mass of the car to that of the mouse?

  A train travels $41.7 \pm 0.5$ meters in $5.836 \pm 0.07$ 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 shape of a cube with sides o7.4fqti8 4q:wpkxemuf $2.76 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 5z (gvkdu iivr1;94(v mmhsl-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 $8.3 \%$ and $h$ is measured to $6 \%$, 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 xo lr-u9k 69:us w xdtsg+8i:dgraduated in millimetr+otwuk9:igxx8- 9su6 sld: rd es, 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 $6.2 \% $ uncertainty in $V$ and a $1.9 \%$ 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 mef6n,xmak-(9* +cp3soc x omx fasured to be $23.5 \pm 0.7 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $3.5 \%$, 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 *k+: (jadia+wta*k qy1qish ,k b3.bpyb)(qs$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differenv ) p)8gswcr)m nc-gx9ce ($V$) across a resistor is measured with a digital voltmeter to be $0.22 \; V$ . 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 the follow 2u*zwlrz4vm+ir7 la4ing can ra+*v7i4ulmwlz z42 rbe reduced?

  A student measures a distan5 nuczx +48hvvce four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is t z4h8 vcn5uxv+he best estimate of this measurement?

  A student measures two lengths as folloxn q/ph f (n9kxgv+5t;+ shg4b0izl3d ws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are mcthb r3)doe+y -h;t hwfjz;)*r1 *bp zeasured 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. Theory statef/r2;sszql 8a s that P should vary lir8as ;/f2szlq nearly with Q.

  The length of a pencil is measured usingzup z,iik 3:i( part of a measuring tape as shown below,:iiu zp(z ki3.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The g-bkhmc a23cxq5gdsz :m4gblz0/1x0eraph is a pl3sbq/ -c 5b:l1zma2dmxc exkz g4 g0h0ot of weight 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 measurerfl1 u:. evpvybkgx9m8 q+,8pd, and the diagram shows thelf,r1 +vbypp. ke8gqv9x8um: measured 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 sphe9+q: o1psv 3sv+7k1xx,xom b 6gocoq qre is measured with percentage uncertainty of 7%. The radiu1qopsqs+ 3,xgc+9 v7o6k:omqv1b o xx s of the sphere is 4.6 ± 0.3 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 tha1bq;smm0 iha,( a,46nk qp .icrqpds8t:
$$
P=\frac{g h^2}{u^3}
$$
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 m*qzf)hluutit+z hz/:+zh+ c3 o 9 7qlheasure the acceleration due to gravity produces the following *)7 htl h3+qz9uho uzh+zz t:ilcfq/+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 measuremevna28u* gyl3r nt has an uncertainty of 8an*rvg l2u3y $0.5 \mathrm{~cm} .$

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 n0 kfp8r5t6gz $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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 8f jt.g/4,9z mds;ke jd, xdwpof the following statements is c4f t9j/ ;jdgsk ,wzp,.d ed8xmorrect?

  A student measures a length five times. All of the measurements lie betp 9(awp*/9 dtjbnq z;xween $18.8 \mathrm{~cm}$ 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 ± 0.5 cm long is cut from a longer piece that is 12.6 ± 01oee7t1i(bn+b sue g9.6 cm long. How long is the remaining piece s g( eb9e1ub17+iotneof 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 8 \%$. 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 ± 1.3 N is applied to a mass gye8q70k ayr:l +rgag(:voh5,w,u.e , nuxdnof 2.0 ± 0.14 kg, causing it to accelerate. What is the percentag nq kwgu+u8ey:rhaa0 n: (7x ydlr,5g,,ev g.oe 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 ± z;r b to; r))5 qdncxpfl)2o c2.zf8qm1.6 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) %