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    1. Sebuah gelombang sinus berjalan dalam arahxpositif memiliki amplitudo 15 cm,

    panjang gelombang 40 cm dan frekuensi 8 Hz. ergeseran dalam arah !ertikal pada saat

    x"0 dan t"0 sejauh 15 cm. #Seperti terlihat pada gambar$.

    a. %erapakah bilangan gelombang k, periode Tdan frekuensi sudut dan kecepatan

    gelombang v&

    b. 'entukan beda fase dan tuliskan persamaan gelombang tersebut.

    (. 'he superposition of t)o identical )a!esy1 andy( #blue$ to *ield a resultant )a!e#red$.

    #a$ +heny1 andy( are in phase, the result is constructi!e interference.

    #b$ +heny1 andy( are rad out of phase, the result is destructi!e interference.

    #c$ +hen the phase angle has a !alue other than 0 or rad, the resultant )a!ey falls

    some)here bet)een the etremes sho)n in #a$ and #b$.

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    -. ')o )a!es tra!eling in opposite directions produce a standing )a!e. 'he indi!idual

    )a!e functions are

    )herex andy are measured in centimeters

    A) ind the amplitude of the simple harmonic motion of the element of the medium

    located atx =(.- cm.

    (B) ind the positions of the nodes and antinodes if one end of the string is atx =0.

    (C) +hat is the maimum !alue of the position in the simple harmonic motion of anelement located at an antinode&

    4. / beam of light of )a!elength 550 nm tra!eling in air is incident on a slab of transparent material. 'he incident beam makes an angle of 40.0 )ith the

    normal, and the refracted beam makes an angle of (.0 )ith the normal. ind the

    inde of refraction of the material.

    5. / laser in a compact disc pla*er generates light that has a

    )a!elength of 280 nm in air.

    (A) ind the speed of this light once it enters the plastic ofa compact disc #n "1.55$.

    (B) +hat is the )a!elength of this light in the plastic&

    . / small fish is s)imming at a depth dbelo) the surface of a pond. +hat is the

    apparent depth of the fish, as !ie)ed from directl* o!erhead&

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    2. / con!erging glass lens #n =1.5($ has a focal length of 40.0 cm in air. ind its focal

    length )hen it is immersed in )ater, )hich has an inde of refraction of 1.--.

    8. 'he electron and proton of a h*drogen atom are separated #on the a!erage$ b* a

    distance of approimatel* 5.- 10311 m. ind the magnitudes of the electric forcebet)een the t)o particles.

    . onsider three point charges located at the corners of a right triangle as sho)n belo),

    )here q1 " q- " 5.0 , q( " 3(.0 , and a =0.10 m. ind the resultant force

    eerted on q-.

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    10. / charge q1 " 2.0 is located at the origin, and a second charge q( " 35.0 is

    located on thex ais, 0.-0 m from the origin. ind the electric field at the point P,

    )hich has coordinates #0, 0.40$ m.

    11. / proton is released from rest in a uniform electric field that has a magnitude of 8.0

    10467m. 'he proton undergoes a displacement of 0.50 m in the direction of .

    A) ind the change in electric potential bet)een pointsA andB.

    B) ind the change in potential energ* of the proton9field s*stem for this

    displacement.

    C) ind the speed of the proton after completing the 0.50 m displacement in theelectric field.

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    1(. /n electric dipole consists of t)o charges of e:ual magnitude and opposite signseparated b* a distance (a, as sho)n in igure belo). 'he dipole is along thex ais

    and is centered at the origin.

    A) alculate the electric potential at pointP.

    B) alculate V andEx at a point far from the dipole.

    C) Calculate V andEx if pointP is located anywhere

    between the two charges.

    1-. / parallel3plate capacitor )ith air bet)een the plates has an areaA " (.00 104 m( and a plate separation d " 1.00 mm.

    ind its capacitance.

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    14. / parallel3plate capacitor has plates of dimensions (.0 cm b*

    -.0 cm separated b* a 1.03mm thickness of paper #" -.2$.

    15.