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Q.

A diver D is still under water μ=43 at a depth d = 10 m. A bird is diving along line AB at a constant velocity in air. When the bird is exactly above the diver he sees it ata height of 50 m from himself and velocity of the bird appears to be inclined at 45° to the horizontal. At what distance (in m ) from the diver the bird actually hits the water surface.

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answer is 00024.62.

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Detailed Solution

happ=μh    happ=50−d=40m and m=μ=4/3∴    h=30m Now,     happ =μh    Vy app =μVy    Vx app =Vx Given     Vyapp Vxapp =tan⁡45∘=1∴     μVyVx=1⇒tan⁡α=1μ=34α=37∘α is the true angle that the line of motion of the bird makes with horizontal. ∴ OC=htan⁡α=30⋅34=22.5m∴ DC=(22.5)2+102=24.62m
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