The radii of two bubbles are $r_{1}$ and $r_{2}$ . In isothermal condition, two meet together in vacuum. then the radius of the bubble is given by:

R = \frac{r_{1} + r_{2}}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R = r_{1} (r_{2} r_{2} + r_{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R^{2} = r_{1}^{2} + r_{2}^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

R = r_{1} + r_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $R^{2} = r_{1}^{2} + r_{2}^{2}$
The radii of two bubbles are $r_{1}$ and $r_{2}$ . In isothermal condition, two meet together in a vacuum. then

Under isothermal condition.
$P_{1} V_{1} + P_{2} V_{2} = P V$

$P_{1} = (4 T / r_{1}), P_{2} = (4 T / r_{2}), P = (4 T / R)$

& volume of bubble $= (4 / 3) π R^{3}$

Hence $(4 T / r_{1}) \times ([4 / 3] π r_{1}^{3}) + (4 T / r_{2}) \times ([4 / 3] π r_{2}^{3}) = (4 T / R) \times (4 / 3) π R^{3}$

$R^{2} = r_{1}^{2} + r_{2}^{2}$

Suggest Corrections

Similar questions

The radii of two soap bubbles are r₁ and r₂. In isothermal conditions, two meet together in vaccum. Then the radius of the resultant bubble is given by

If the sum of the areas of two circles with radii R₁ and R₂ is equal to the area of a circle of radius R, then

If the sum of the areas of two circles with radii $R_{1}$ and $R_{2}$ is equal to the area of a circle of radius R then

(a) $R_{1} + R_{2} = R$

(b) $R_{1} + R_{2} > R$

(d) $R_{1}^{2} + R_{2}^{2} = R^{2}$

Q. Two spherical soap bubbles of a radii

r_{1}

and

r_{2}

in vacuum coalesce under isothermal conditions. The resulting bubble has the radius

R

such that

Q. Question 1
If the sum of the areas of two circles with radii

R_{1}

and

R_{2}

is equal to the areas of a circle of radius R, then:
(A)

R_{1} + R_{2} = R

(B)

R_{1}^{2} + R_{2}^{2} = R^{2}

(C)

R_{1} + R_{2} < R

(D)

R_{1}^{2} + R_{2}^{2} < R_{2}

Join BYJU'S Learning Program

The radii of two bubbles are r1 and r2 . In isothermal condition, two meet together in vacuum. then the radius of the bubble is given by:

The radii of two bubbles are $r_{1}$ and $r_{2}$ . In isothermal condition, two meet together in vacuum. then the radius of the bubble is given by: