The weight of an empty balloon on a spring ba | vedclass

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(D) The weight of the empty balloon is $w_1$. When the balloon is filled with air of weight $w$,the total downward force acting on the spring balance

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$A$ and $C$ both

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(D) The weight of the empty balloon is $w_1$. When the balloon is filled with air of weight $w$,the total downward force acting on the spring balance is $w_1 + w$.However,since the balloon is immersed in the surrounding air,it experiences an upward buoyant force $F_B$ equal to the weight of the air displaced by the balloon.Since the density of the air inside the balloon is assumed to be the same as the density of the air outside,the weight of the displaced air is equal to the weight of the air inside the balloon,which is $w$.Therefore,the buoyant force $F_B = w$.The apparent weight $w_2$ measured by the spring balance is the net force: $w_2 = (w_1 + w) - F_B = w_1 + w - w = w_1$.Since $w_1 = w_1$,option $A$ is correct.Also,mathematically,$w_1  0$,so $w_2 Thus,both $A$ and $C$ are correct.

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