MCQ
The work done in doubling the radius of a soap bubble of radius $2\,cm$ will be ( $S.T.$ of soap solution $= 30\,dyne/cm$ )
  • $9.043\times 10^3\,erg$
  • B
    $4.521\times 10^3\,erg$
  • C
    $2.695\times 10^3\,erg$
  • D
    $1.507\times 10^3\,erg$

Answer

Correct option: A.
$9.043\times 10^3\,erg$
a
$w=2 T \Delta A$

$\mathrm{w}=60\left(4 \pi \mathrm{r}_{2}^{2}-4 \pi \mathrm{r}_{1}^{2}\right)$

$w=60 \times 4 \pi(16-4)$

$w=60 \times 4 \pi \times 12$

$\mathrm{w}=9.043 \times 10^{3} \mathrm{erg}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Bulk modulus of water is $2 × 10^9N/ m^2$. The pressure required to increase the density of water by $0.1% in N/ m^2$ is:
One end of a straight uniform $1\; \mathrm{m}$ long bar is pivoted on horizontal table. It is released from rest when it makes an angle $30^{\circ}$ from the horizontal (see figure). Its angular speed when it hits the table is given as $\sqrt{\mathrm{n}}\; \mathrm{s}^{-1},$ where $\mathrm{n}$ is an integer. The value of $n$ is
A heavy stone is thrown in from a cliff of height h in a given direction. The speed with which it hits the ground:
A ring has a total mass $M$ but non$-$uniformly distributed over its circumference. The radius of the ring is $R.$ A point mass m is placed at the centre of the ring. Work done in taking away this point mass from centre to infinity is:
If a car is moving forward, what is the direction of the moment of the moment caused by the rotation of the tires:
The masses $m$ in fig. $(A)$ and $(B)$ are identical. The gravitational potential energy  in the two cases are $U_A$ and $U_B$. Then
The variation of velocity of particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is.......$m$
A car is moving on a circular path of radius $600\,m$ such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an initial speed of $54\,km / hr$ is $t \left(1- e ^{-\pi / 2}\right)\,s$. The value of $t$ is $.............$.
A liquid boils when its vapour pressure is equal to:
The dimensional formula of permeability of free space $\mu_0$ is