16- Waves

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    Q1)Domino Toppling is one entry in the Guinness Book

    of World Records. The eent consists of lining up !n

    incredi"le num"er of dominoes !nd then letting them topple#

    one !fter !nother. $s the distur"!nce th!t prop!g!tes !long the

    line of dominoes tr!nserse# longitudin!l# or p!rtly "oth%

    1)tr!nserse

    &)longitudin!l

    ')p!rtly "oth

    Q&) Which of the follo(ing !re tr!nserse (!es *!)+n oce!n

    (!e rolling to(!rd ,!nt! -ru "e!ch# *")The sound of one (h!le

    c!lling !nother (h!le under (!ter/ *c)+ pulse sent do(n !

    stretched rope "y sn!pping one end of it.

    1)! &)" ')c

    0)! !nd c )!# "# !nd c

    Q3)Consider the following waves:

    The "wave" made by fans at sports events

    waves on the surface of a lake Music in the auditorium

    TV signals transmitting pictures

    How many of the above four are transversewaves?

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    1)1 2)2 3)3 4)4 5)None

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    Q4)Which one of the following is most likely to be impossible?

    1)Transverse waves in a fluid

    2)Longitudinal waves in a fluid

    3)Transverse waves in a solid

    4)Longitudinal waves in a solid5)Waves in a vacuum (no medium)

    Q)By sh!king one end of ! stretched string# ! single pulseis gener!ted. The tr!eling pulse c!rries

    1)energy.

    &)momentum.

    ')energy !nd momentum.

    0)neither of the t(o.

    Q2)+n o"3ect th!t completes 144 i"r!tions in seconds h!s !period of

    1)4. second.

    &)1 second.

    ')& seconds.

    0)5one of the !"oe choices !re correct.

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    Q6)+ periodic (!e is produced on ! stretched string. Which one

    of the follo(ing properties is not rel!ted to the speed of the (!e%

    1)fre7uency

    &)!mplitude

    ')period0)(!elength

    )tension in the string

    Q8)Which one of the follo(ing st!tements concerning (!es is

    f!lse%

    1)+ (!e c!n h!e "oth tr!nserse !nd longitudin!l components.

    &)+ (!e c!rries energy from one pl!ce to !nother.

    ')+ (!e does not result in the "ulk flo( of the m!teri!l of its

    medium.

    0)+ (!e is ! tr!eling distur"!nce.

    )+ tr!nserse (!e is one in (hich the distur"!nce is p!r!llel to

    the direction of tr!el.

    Q9)$f the fre7uency of (!e is dou"led# (h!t ch!nge

    (ill occur in *!)its speed% *")$n its (!elength%

    1)*!) dou"le *") dou"le

    &)*!) dou"le *") cut in h!lf

    ')*!) rem!in the s!me *") dou"le

    0)*!) rem!in the s!me *") cut in h!lf

    )*!) cut in h!lf *") rem!in the s!me

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    Q14)+ source of fre7uencyfsends (!es of (!elength :

    tr!eling (ith speed in some medium. $f the fre7uency is

    ch!nged fromfto &f# then the ne( (!elength !nd ne( speed !re

    *respectiely)

    1) & &) ;&

    ') &

    0) ;&

    ) ;& &

    Q11)$f the (!es !re going !t the s!me speed# (hich (!e

    h!s the gre!test period of oscill!tion%

    1)$

    &)$$

    ')$$$0)$# t) C ymsin*k> E t ). +t time t C 4 the

    point !t > C 4 h!s ! elocity of 4 !nd ! positie displ!cement. The

    ph!se const!nt is

    1);0 r!di!ns

    &);& r!di!ns

    ')r!di!ns

    0)';& r!di!ns

    )none of the !"oe

    Q&4)The displ!cement of ! string c!rrying ! tr!eling sinusoid!l

    (!e is gien "y

    y*>#t) C ymsin*k>t)

    +t time t C 4 the point !t > C 4 h!s ! displ!cement of 4 !nd is

    moing in the positie y direction. The ph!se const!nt is

    1)0F &)94F ')1'F

    0)184F )&64F

    Q&1)+ rope of m!ss m is h!nging do(n from the ceiling. 5othingis !tt!ched to the loose end of the rope. + tr!nserse (!e is

    tr!eling on the rope. +s the (!e tr!els up the rope# does the

    speed of the (!e incre!se# decre!se# or rem!in the s!me%

    1)incre!se

    &)decre!se

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    ')rem!in the s!me

    Q&&)When ! 144? oscill!tor is used to gener!te ! sinusoid!l

    (!e on ! cert!in string the (!elength is 14 cm. When the

    tension in the string is dou"led the gener!tor produces ! (!e (ith

    ! fre7uency !nd (!elength of

    1)101 ? !nd &4 cm

    &)101 ? !nd 10 cm

    ')144 ? !nd &4 cm

    0)144 ? !nd 10 cm

    ) 4 ? !nd 10 cm

    Q23)Two piano strings have the same tension, are made from the

    same material, and have the same length, but string B is thicker

    (larger diameter) than string A. The pitch from string B will be

    1)lower than

    2)higher than

    3)the same as

    4)not enough information

    that from string A.

    Q&0)The tension in ! guit!r string is dou"led. ?o( does thefre7uency of oscill!tion ch!nge%

    1)it incre!ses "y ! f!ctor of &

    &)it decre!ses "y ! f!ctor of &

    ')it incre!ses "y ! f!ctor of &

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    0)it decre!ses "y ! f!ctor of &

    )none of the !"oeQ&)+ long string is constructed "y 3oining the ends of t(o shorter

    strings. The tension in the strings is the s!me "ut string $ h!s 0

    times the line!r m!ss density of string $$. When ! sinusoid!l (!e

    p!sses from string $ to string $$

    1)the fre7uency decre!ses "y ! f!ctor of 0

    &)the fre7uency decre!ses "y ! f!ctor of &

    ')the (!e speed decre!ses "y ! f!ctor of 0

    0)the (!e speed decre!ses "y ! f!ctor of &

    )the (!e speed incre!ses "y ! f!ctor of &

    Q&2)T(o strings# one thick !nd the other thin# !re connected to

    form one long string. + (!e tr!els !long the string !nd p!sses

    the point (here the t(o strings !re connected. Which of the

    follo(ing ch!nge*s) !t th!t point

    1)fre7uency

    &)period

    ')prop!g!tion speed

    0)(!elength

    Q&6)The follo(ing four (!es !re sent !long strings (ith thes!me line!r densities. R!nk the (!es !ccording to the tensions in

    the strings !long (hich they tr!el# gre!test first

    *1) y1C *' mm) sin*> E 't) *') y'C *1 mm) sin*0> Et)

    *&) y&C *2 mm) sin*&> E t) *0) y0C *& mm) sin*> E &t)

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    1) ' # 1C0 &) 1# 0# 1C' ') 1# 0# '

    0) '# 0# 1 ) none

    Q&8)+ string th!t is stretched "et(een fi>ed supports sep!r!ted "y

    6.4 cm h!s reson!nt fre7uencies of 0&4 !nd '1 ? (ith no

    intermedi!te reson!nt fre7uencies. Wh!t is the (!e speed of

    the string%

    1)68.6 m;s &)16. m;s ')&'2 m;s

    0)06& m;s )none of the !"oe

    Q&9)+ tr!nserse (!e is tr!eling (ith ! speed of '44 m;s on !

    horiont!l string. $f the tension in the string is incre!sed "y ! f!ctorof four# (h!t is the speed of the (!e%

    1)6 m;s

    &)14 m;s

    ')'44 m;s

    0)244 m;s

    )1&44 m;s

    Q30)A weight is hung over a pulley and attached to a string

    composed of two parts, each made of the same material but one

    having four times the diameter of the other. The string is plucked

    so that a pulse moves along it, moving at speed v1in the thick partand at speed v&in the thin part.

    What is v1/ v&?

    1)1

    2)2

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    3)

    4)

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    Q'1)$n the st!nding (!e sho(n# (h!t is its

    !mplitude%

    1)04 centimeters

    &)&4 centimeters')14 centimeters

    Q'&)$n the st!nding (!e sho(n# ho( m!ny nodes !rethere%

    1)'

    &)0

    ')0)2

    Q'')Which one of the follo(ing st!tements is true concerning thepoints on ! string th!t sust!in ! st!nding (!e p!ttern%

    1)+ll points i"r!te (ith the s!me energy.

    &)+ll points undergo the s!me displ!cements.

    ')+ll points i"r!te (ith different fre7uencies.

    0)+ll points i"r!te (ith different !mplitudes.

    )+ll points undergo motion th!t is purely longitudin!l.

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    Q34)A string is clamped at both ends and then plucked so that it

    vibrates in a standing mode between two extreme positions a and c.

    Let upward motion correspond to positive velocities. When the

    string is in position b, the instantaneous velocity of points along

    the string is...

    1)4 eery(here. &) eery(here. 3)- everywhere.

    4)depends on position.

    Q')+ string of length 144 cm is held fi>ed !t "oth ends !nd

    i"r!tes in ! st!nding (!e p!ttern. The (!elengths of the

    constituent tr!eling (!es -+55HT "e

    1)044 cm

    &)&44 cm')144 cm

    0)22.6 cm

    )4 cm

    Q'2)$f you set up the seenth h!rmonic on ! string# is there

    ! node# !ntinode# or some intermedi!te st!te !t the

    midpoint%

    1)node

    &)!ntinode

    ')intermedi!te st!te

    !

    "

    c

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    Q'6)$f you set up the seenth h!rmonic on ! string# *!) ho(

    m!ny nodes !re present# !nd *") is there ! node# !ntinode# or

    some intermedi!te st!te !t the midpoint%

    1) *!) 6 *") node

    &) *!) 6 *") !ntinode') *!) 8 *") node

    0) *!) 8 *") !ntinode

    ) *!) 8 *") some intermedi!te st!te

    Q38)A string on an instrument plays an A (440 Hz) when plucked.

    If you put your finger down in the middle of the string, and then

    pluck, you are mostly likely to hear

    1)A an octave higher (880 Hz)

    2)A, an octave lower (220 Hz)

    3)Same tone4)Some entirely different note.

    Q39)A string vibrates with a natural fundamental frequency of

    220 Hz, with a wavelength of 2m. Besides 220 Hz, which of the

    following are "resonant frequencies" which you might also faintly

    detect?

    i) 110 Hz ii) 330 Hz iii) 440 Hz

    1)i only 2)ii only 3)iii only

    0)i !nd ii )!ll three