1)A fish rising vertically to the surface of water in a lake uniformly at the rate of \( 3 \mathrm{~m} / \mathrm{s} \) observes a king-fisher (bird) diving vertically towards the water at a re of \( 9 \mathrm{~m} / \mathrm{s} \) vertically above it. If the refractive index of water is \( (4 / 3) \). Find the actual velocity of the dive of the bird.
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The fish is rising at a velocity of \(3 \, \text{m/s}\). The bird is observed by the fish to be diving at a velocity of \(9 \, \text{m/s}\). The refractive index of water is \(\frac{4}{3}\). Show more…
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In a lake, a fish rising vertically to the surface of water uniformly at the rate of $3 \mathrm{~m} / \mathrm{s}$, observes a bird diving vertically towards the water at a rate of $9 \mathrm{~m} / \mathrm{s}$ vertically above it. The actual velocity of the dive of the bird is: (Given: refractive index of water $=4 / 3$ ) (a) $9.2 \mathrm{~m} / \mathrm{s}$ (b) $4.5 \mathrm{~m} / \mathrm{s}$ (c) $9.0 \mathrm{~m} / \mathrm{s}$ (d) $3.2 \mathrm{~m} / \mathrm{s}$
Follow-up Suppose the kingfisher dives with an average speed of $4.6 \mathrm{~m} / \mathrm{s}$ for $1.4 \mathrm{~s}$ before hitting the water. What was the height from which the bird dove?
A underwater diver sees a duck on top of her while lying at the bottom of a 2.0 deep pond. What is the maximum distance the duck swims away before it disappears from the divers view? Water has index of refraction 1,33
Suman K.
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