List I gives some physical quantites and List II gives some possible graphs symbols have usual meaning i.e., a, v, x, t stands for acceleration, velocity, position and time for given v - x graph correct match is
A
I→P,II→P,III→Q,IV→Q
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B
I→Q,II→P,III→V,IV→S
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C
I→Q,II→P,III→P,IV→Q
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D
I→Q,II→P,III→R,IV→Q
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Solution
The correct option is CI→Q,II→P,III→P,IV→Q v=mx⇒a=dvdt=ddtmx⇒a=mv -- (1) a=m[mx]⇒a=m2x --(2) v=mx⇒dxdt=mx⇒∫dxx=∫mdt lnx=mt+c ⇒x=e(mt+c) -- (3) a=m2x=m2e(mt+c)