ShmoopTube

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No and here's your shmoop du jour brought to you

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by intensity intensity can be a good thing especially when

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we're getting ready for a big test But too much

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intensity when we're studying can be a bad thing Even

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we hear it smoking a little sleep well a longitudinal

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wave source lambda is located five meters to the left

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of point x A trans verse wave source bro is

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ten meters to the right of point x Both sources

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emit s o tropic radiation of the same power What

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can be said about the ratio of intensities measured at

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point x All right here The potential answers Yes we

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got all that intensity introduction thing Okay well we've got

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trans verse waves We've got longitudinal waves We've got s

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o tropic radiation This is like the start of a

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superhero origin story or something But before we get to

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the part where shmoop er man comes to earth let's

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figure out how these intensities relate well ice A tropical

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radiation emanates from a point source and it shoots out

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in all directions with equal intensity Because of this fact

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the farther we are from the source of radiation the

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less the intensity we feel in fact intensity is proportional

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to the inverse square of the distance from the source

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of radiation So if one object a is twice a

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ce far from a radiation source as object be than

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object a will get hit with one quarter of the

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radiation object b receives which means for our question since

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object lambda is one half the distance from the source

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of the radiation as object row the radiation received from

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lambda will be four times higher So our answer is

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a but let's run through the math Just to be

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sure the leftward intensity is proportional to the inverse square

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of the leftward radius and the right word intensity is

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equal to the inverse square of the right word radius

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since we're looking for the radius will set the leftward

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intensity over the right word intensity With this complex fraction

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it simplifies to the right word Distance squared over the

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left word distance squared We just plug in our numbers

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and sure enough we get same answer Leftward intensity is

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four times higher and let's try to keep our studying

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intensity at a reasonable level A five maybe a six

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We've been at ten before and it wasn't pretty after

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we woke up in the closet muttering about wave frequencies

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Who decided Tto dial it back a bit and go 00:02:37.51 --> [endTime] decaf

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