If the air of weight w is filled in an empty balloon which weighs w1, the weight of the balloon will become w2. Suppose the density of the air inside and outside the balloon is same, then

Question

If the air of weight w is filled in an empty balloon which weighs w1, the weight of the balloon will become w2. Suppose the density of the air inside and outside the balloon is same, then (A) w2=w1+w (B) w2=√w1 w (C) w2=w1 (D) w2=w1-w

Tardigrade Admin · Accepted Answer

The apparent weight of the balloon =w2 Apparent weight = real weight - upthrust ∴ w2= real weight -w But Real weight =w1+w w2=w1+w-w=w1 w2=w1

Q. If the air of weight $w$ is filled in an empty balloon which weighs $w_{1}$ , the weight of the balloon will become $w_{2}$ . Suppose the density of the air inside and outside the balloon is same, then

$w_{2} = w_{1} + w$

$w_{2} = w_{1} w$

$w_{2} = w_{1}$

$w_{2} = w_{1} - w$

The apparent weight of the balloon $= w_{2}$
Apparent weight = real weight - upthrust
$∴ w_{2} =$ real weight $- w$
But Real weight $= w_{1} + w$
$w_{2} = w_{1} + w - w = w_{1}$
$w_{2} = w_{1}$

Q. If the air of weight w is filled in an empty balloon which weighs w1​, the weight of the balloon will become w2​. Suppose the density of the air inside and outside the balloon is same, then

w2​=w1​+w

w2​=w1​w​

w2​=w1​

w2​=w1​−w