Properties of Matter 2 Question 4

4. A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance $l$ and $h$ are shown there. After sometime the coin falls into the water. Then $(2002,2 M)$

(a) $l$ decreases and $h$ increases

(b) $l$ increases and $h$ decreases

(c) Both $l$ and $h$ increase

(d) Both $l$ and $h$ decrease

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Answer:

Correct Answer: 4. (d)

Solution:

  1. $l$ will decrease, because the block moves up and $h$ will decrease, because the coin will displace the volume of water $\left(V _1\right)$ equal to its own volume when it is in the water whereas when it is on the block it will displace the volume of water $\left(V _2\right)$ whose weight is equal to weight of coin and since density of coin is greater than the density of water, $V _1<V _2$.


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