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Category: Oscillation and Waves

Two-waves-are-represented-by-y-1-Asin-t-and-y-2-Asin-t-What-is-the-resultant-of-the-two-waves-ii-determine-the-amplitude-of-the-resultant-wave-and-under-which-condition-will-it-be-constructive

Question Number 38816 by NECx last updated on 30/Jun/18 $${Two}\:{waves}\:{are}\:{represented}\:{by} \\ $$$${y}_{\mathrm{1}} ={Asin}\omega{t}\:{and}\:{y}_{\mathrm{2}} ={Asin}\left(\omega{t}−\delta\right). \\ $$$${What}\:{is}\:{the}\:{resultant}\:{of}\:{the}\:{two} \\ $$$${waves}? \\ $$$$\left.{ii}\right){determine}\:{the}\:{amplitude}\:{of}\:{the} \\ $$$${resultant}\:{wave}\:{and}\:{under}\:{which} \\ $$$${condition}\:{will}\:{it}\:{be}\:{constructive}\:{or} \\…

A-train-travelling-at-30m-s-approaching-a-stationary-observer-emits-a-tone-at-a-frequency-of-480Hz-If-the-speed-of-sound-is-330m-s-determine-the-frequency-of-the-note-the-observer-hears-

Question Number 35881 by NECx last updated on 25/May/18 $${A}\:{train}\:{travelling}\:{at}\:\mathrm{30}{m}/{s}\:, \\ $$$${approaching}\:{a}\:{stationary}\:{observer} \\ $$$${emits}\:{a}\:{tone}\:{at}\:{a}\:{frequency}\:{of}\:\mathrm{480}{Hz}. \\ $$$${If}\:{the}\:{speed}\:{of}\:{sound}\:{is}\:\mathrm{330}{m}/{s}, \\ $$$${determine}\:{the}\:{frequency}\:{of}\:{the} \\ $$$${note}\:{the}\:{observer}\:{hears}. \\ $$ Commented by tanmay.chaudhury50@gmail.com…

An-open-pipe-40cm-long-and-a-closed-pipe-32cm-long-with-the-same-diameter-sound-the-same-fundamental-frequency-in-unison-Find-the-end-correction-of-these-pipes-

Question Number 35882 by NECx last updated on 25/May/18 $${An}\:{open}\:{pipe}\:\mathrm{40}{cm}\:{long}\:{and}\:{a} \\ $$$${closed}\:{pipe}\:\mathrm{32}{cm}\:{long},{with}\:{the} \\ $$$${same}\:{diameter},{sound}\:{the}\:{same} \\ $$$${fundamental}\:{frequency}\:{in}\:{unison}. \\ $$$${Find}\:{the}\:{end}\:{correction}\:{of}\:{these} \\ $$$${pipes}. \\ $$ Commented by tanmay.chaudhury50@gmail.com…

Find-the-velocity-of-the-source-along-the-line-joining-the-source-to-a-stationary-observer-if-as-a-result-of-the-motion-the-frequency-of-the-note-heard-is-a-increased-in-the-ratio-18-15-b-decreased-i

Question Number 35879 by NECx last updated on 25/May/18 $${Find}\:{the}\:{velocity}\:{of}\:{the}\:{source}\: \\ $$$${along}\:{the}\:{line}\:{joining}\:{the}\:{source} \\ $$$${to}\:{a}\:{stationary}\:{observer}\:{if},{as}\:{a} \\ $$$${result}\:{of}\:{the}\:{motion},{the}\:{frequency} \\ $$$${of}\:{the}\:{note}\:{heard}\:{is} \\ $$$$\left.{a}\right){increased}\:{in}\:{the}\:{ratio}\:\mathrm{18}:\mathrm{15} \\ $$$$\left.{b}\right){decreased}\:{in}\:{the}\:{ratio}\:\mathrm{15}:\mathrm{18} \\ $$ Answered…

A-sonometer-wire-60cm-long-under-a-tension-of-120N-vibrates-in-unison-with-a-turning-fork-of-frequency-512Hz-The-wire-is-then-shortened-by-2cm-the-tension-remaining-the-same-If-the-fork-and-wire-are-s

Question Number 35878 by NECx last updated on 25/May/18 $${A}\:{sonometer}\:{wire}\:\mathrm{60}{cm}\:{long},{under} \\ $$$${a}\:{tension}\:{of}\:\mathrm{120}{N},{vibrates}\:{in} \\ $$$${unison}\:{with}\:{a}\:{turning}\:{fork}\:{of} \\ $$$${frequency}\:\mathrm{512}{Hz}.{The}\:{wire}\:{is}\:{then} \\ $$$${shortened}\:{by}\:\mathrm{2}{cm},{the}\:{tension} \\ $$$${remaining}\:{the}\:{same}.{If}\:{the}\:{fork} \\ $$$${and}\:{wire}\:{are}\:{sounded}\:{together},{how} \\ $$$${many}\:{beats}\:{per}\:{second}\:{are}\:{heard}? \\…

how-do-i-prove-o-t-cos-2-t-dt-0-

Question Number 34382 by rashedul last updated on 05/May/18 $$\mathrm{how}\:\mathrm{do}\:\mathrm{i}\:\mathrm{prove} \\ $$$$\int_{\mathrm{o}} ^{\mathrm{t}} \mathrm{cos}\:\mathrm{2}\left(\omega\mathrm{t}+\alpha\right)\mathrm{dt}=\mathrm{0} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 05/May/18 $$=\frac{\mid{sin}\left(\mathrm{2}{wt}+\mathrm{2}\alpha\right)\underset{\mathrm{0}} {\overset{{T}}…

A-mass-oscillating-on-a-spring-has-amplitude-of-1-2m-and-a-period-of-2s-Deduce-the-equation-for-the-displacement-x-if-the-timing-starts-at-the-instant-when-the-masd-has-its-maximum-displacement-b-cal

Question Number 32757 by NECx last updated on 01/Apr/18 $${A}\:{mass}\:{oscillating}\:{on}\:{a}\:{spring} \\ $$$${has}\:{amplitude}\:{of}\:\mathrm{1}.\mathrm{2}{m}\:{and}\:{a}\:{period} \\ $$$${of}\:\mathrm{2}{s}.{Deduce}\:{the}\:{equation}\:{for} \\ $$$${the}\:{displacement}\:{x}\:{if}\:{the}\:{timing} \\ $$$${starts}\:{at}\:{the}\:{instant}\:{when}\:{the}\:{masd} \\ $$$${has}\:{its}\:{maximum}\:{displacement}. \\ $$$$\left.{b}\right){calculate}\:{the}\:{time}\:{interval}\:{from} \\ $$$${t}=\mathrm{0}\:{before}\:{the}\:{displacement}\:{is} \\…