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Match the following: (P = momentum of pa...

Match the following: (P = momentum of particle, K = kinetic energy of particle)

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The correct Answer is:
(a `rightarrow`p, B`rightarrow`q, C `rightarrow`s, D `rightarrow` r
(a) `K=p^(2)/(2m)`
`rArr (3p^(2))/(2m) = 9(p^(2)/(2m) = 9K`
`therefore` % increase in K = 80%`
(b) `p=sqrt(2Km)`
`p^(') = sqrt(2(4K)m) = 2sqrt(2Km) = 2p
`therefore %` increase in p = 100%`.
(c) `p = sqrt(2Km) = (2Km)^(1/2)`
`rArr K6(') = (101/100)^(2)p/2m = 2%`
(d) % increase in `p =1/2` (%Increase in K) = 0.5%`
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