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Optics
a rat runs in between two adjacent corners of a hall along the floor,the velocity of the rat is uniform & is 1m/s .The roof of the hall has a gentle slope of 1/ is a plane mirror.The velocity of the rat's image in the mirror is ?
well,here........let u=x.n v=x'x=x'..rytden y/x=1/rt3sody/dt=1/rt3 x (dx/dt)now dy/dt=1m/sso dx/dt=rt3m/sdx'/dt=rt3m/s
n relative velocity is 2rt3:I
but the ans is 2/..
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well,
here........let u=x.n v=x'
x=x'..ryt
den
y/x=1/rt3
so
dy/dt=1/rt3 x (dx/dt)
now dy/dt=1m/s
so dx/dt=rt3m/s
dx'/dt=rt3m/s
n relative velocity is 2rt3:I