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Activity ______________ 9.6

                   •    Take a beaker filled with water.
                   •    Take a piece of cork and an iron nail of
                        equal mass.
                   •    Place them on the surface of water.
                   •    Observe what happens.

                    The cork floats while the nail sinks. This
                 happens because of the difference in their
                 densities. The density of a substance is
                 defined as the mass per unit volume. The
                                                                           (a)
                 density of cork is less than the density of
                 water. This means that the upthrust of water
                 on the cork is greater than the weight of the
                 cork. So it floats (Fig. 9.5).
                                                                                                (b)
                    The density of an iron nail is more than
                 the density of water. This means that the       Fig. 9.6:  (a) Observe the elongation of the rubber
                                                                           string due to the weight of a piece of stone
                 upthrust of water on the iron nail is less than
                                                                           suspended from it in air. (b) The elongation
                 the weight of the nail. So it sinks.
                                                                           decreases as the stone is immersed
                    Therefore objects of density less than that            in water.
                 of a liquid float on the liquid. The objects of
                 density greater than that of a liquid sink in      •    Observe what happens to  elongation
                 the liquid.                                             of the string or the reading on the
                                                                         balance.
                 Q      1. Why is it difficult to hold a school  or the reading of the balance decreases as the
                      uestions
                                                                     You will find that the elongation of the string

                                                                 stone is gradually lowered in the water. However,
                            bag having a strap made of a thin
                                                                 no further change is observed once the stone
                            and strong string?
                                                                 gets fully immersed in the water. What do you
                        2. What do you mean by buoyancy?
                        3. Why does an object float or sink
                                                                 string or the reading of the spring balance?
                            when placed on the surface of        infer from the decrease in the extension of the
                            water?                                   We know that the elongation produced in
                                                                 the string or the spring balance is due to the
                 9.6 Archimedes’ Principle                       weight of the stone. Since the extension
                                                                 decreases once the stone is lowered in water,
                                                                 it means that some force acts on the stone in
                   Activity ______________ 9.7
                                                                 upward direction. As a result, the net force on
                   •    Take a piece of stone and tie it to one  the string decreases and hence the elongation
                        end of a rubber string or a spring       also decreases. As discussed earlier, this
                        balance.                                 upward force exerted by water is known as
                   •    Suspend the stone by holding the         the force of buoyancy.
                        balance or the string as shown in            What is the magnitude of the buoyant
                        Fig. 9.6 (a).
                   •     Note the elongation of the string or    force experienced by a body? Is it the same
                        the reading on the spring balance due    in all fluids for a given body? Do all bodies
                        to the weight of the stone.              in a given fluid experience the same buoyant
                   •    Now, slowly dip the stone in the water   force? The answer to these questions is
                        in  a  container    as  shown    in      contained in Archimedes’ principle, stated as
                        Fig. 9.6 (b).
                                                                 follows:

                 GRAVITATION                                                                           109





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