Which of the following could be/ 8unmg9n1/qb:y3 jx;g*ur.j etk zxd a unit of power?

  By approximately how many powers of v5h6 oay+0 fqhten is the height of a human larger than the he5a oh 0+hv6fyqight of a grain of sand?

  What is the value of aexfn. j4 4f.+tb*;bsitm1 ph$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental 5qdlrr9: x 138 )lci;qontxxh;e4kw vunit in the SI system?

  The volume of the Earth is approximately /qj 3t* *bmbri5a7 xzb s85suh$10^{12} \mathrm{~km}^3$ 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 heartbeats of azz1w+t +93oso hg1o fv;ld1cl gu;z(a n aver 1 f sl;+gv;czd1hz+ 3ol1oozwg9ut( aage adult human in a day.

  Which of the following / m 3b*bc(eytz(jfqio9cz-1ns9j9v bcontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the gk.n ubybq:2w9 gg xam *4f.k-answer with the most decimal plab:nw bgmk qy *k92.g.x g4a-ufces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is ue-;d xr i; vah,48jhf.)ytouthe order of magnitude of the ratio betwee,o t)x-;d ijfh4h8.uy v arue;n the mass of the car to that of the mouse?

  A train travels $58.4 \pm 0.4$ meters in $10.432 \pm 0.05$ 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 cube with sides )e,*foov 7bxkzb xe h;6w(dk(yij 9p *of $3.59 \mathrm{~m}$. 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 9db i7 knv 5skf9lo3v7of 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 $4.6 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a penci:snynt tq 3q h e,*/cpyjm9g:3l is measured using part of a metre rule that is graduated in millimetres, as shown bel/3n qymc gths: :y9jpeq3,t*n ow.

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 $4.8 \% $ uncertainty in $V$ and a $1.4 \%$ 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 measured to be (x0skqoy:+ywz xh,3g0/-iz;i lvwuc $12.0 \pm 1.8 \; cm$. 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 $2.1 \%$ and the uncertainty in $l$ is $3.8 \%$, 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 of a room are 04kme t+d1scm estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 differ0ci q o/0l0at:r/ yizpence ($V$) across a resistor is measured with a digital voltmeter to be $0.13 \; V$ . 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 6x j-moho95syzbr6 l6w;xw:q,if)cw of the same quantity which of the following can be rw95bojwo) zqymc,f i xls6rx:;w-h66educed?

  A student measures a distance four timk,g2rw *x gct:es. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 :c,2w*ktg gxr cm. What is the best estimate of this measurement?

  A student measures tug3 +vtnjcx3 1wo 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, a an 8lpr 7rs yjo0wgq kto4k41l*,d 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 n0e9l4+lswnn wby g( wuxuk28w,f6 jf:) naq;varies is plotted. Theory states that P s(uwaj: ;qnw,n)nyllwu 6nbg0wk42sfxe 9 f+8hould vary linearly with Q.

  The length of a pencil is measured using part hz59g w vc,oklhd8o7;of a measuring tape as shown below.,89zc lwh d koh5og;7v

What is the length of the pencil?

  The masses and weights of different objects are independently measurnokyywyu1 0;;p72fteh4vo :g ed. The graph is a plot of weight versus :yvyg2u;w0kh; 1t4eopfo7n y 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, a 3j4k:;wfc:n vub60u-7fdj nm qq;sennd the diagram shows the measuredvd6wn:un ejqu ;3-;fsb 4 jmf0k nqc7: 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 with percentage uncertainty o qve 9yq2:f3f3n roj7cf 4%. The radius of the sphere is 3.2 ± 0.4 cm. What is the per: 3qo3jnfrq v2ce 7f9ycentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown tha +)36/xlrhl bvtuy(0k6iykb bt:
$$
P=\frac{g h^2}{u^3}
$$
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 pcfwkx hp1m945 7 -hr :/kxooatroduces the following r1pmoa 5thw:o xrk/h4 -cxkf 79esults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 me;x t fh, t(gk0q*g:e,,pk qmrz sp;af,asurement has an uncertaintxhtr;,,f,k matq 0s:, fk p gpe*;(zqgy 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 masswawyxtq/: (p) $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.6 \%$ 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-n)zqy6r*/vcn g9;ob z8 4rqhog egligible zero offset error. Which of the following statemr zr h/8b96yg vcn)o4g *qz;qoents is correct?

  A student measures a length five times. All of the measurements lie bet9z0flknisw)qoa t*20ween $18.8 \mathrm{~cm}$ 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 long is cut from asl7nnq hyka-:8zb - t lxo67pda8 q+h4 longer piece that is 12.6 ± 0.5 cm long. How long-s-q+d8a7x687o4 ypz q k lhthlb :nan 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 ehiw/ bn0+-s;bfq1 l3/ennu gapplied to a mass of 2.0 ± 0.15 kg, causing it to accelerate. What is the percentage uncertainty of i 0e;u +1/qbwlbginn -henf3/sts acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be , myeknfh 4bee s/zex8q- +)+e10.0 ± 1.1 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) %