Ncert Exercises & Solutions

A wooden block with a coin placed on its top, floats in water as shown in the figure.

The distances \(\mathrm{l}\) and \(\mathrm{h}\) are shown in the figure. After some time, the coin falls
into the water. Then,

(a)	\(\mathrm{l}\) decreases
(b)	\(\mathrm{h}\) decreases
(c)	\(\mathrm{l}\) increases
(d)	\(\mathrm{h}\) increases

Choose the correct alterative/s:

1.	(b), (c)
2.	(a), (d)
3.	(c), (d)
4.	(a), (b)

(4) Hint: The upthrust depends on the volume of the water displaced.
When the coin falls into the water, the weight of the (block + coin) system decreases, which was balanced by the upthrust force earlier. As the weight of the system decreases, hence upthrust force will also decrease which is only possible when l decreases. As l decreases, the volume of water displaced by the block decreases, hence h decreases.

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