MCQ
Energy needed in breaking a drop of radius $R$ into $n$ drops of radii $ r$ is given by
  • $4\pi T(n{r^2} - {R^2})$
  • B
    $\frac{4}{3}\pi ({r^3}n - {R^2})$
  • C
    $4\pi T({R^2} - n{r^2})$
  • D
    $4\pi T(n{r^2} + {R^2})$

Answer

Correct option: A.
$4\pi T(n{r^2} - {R^2})$
a
(a) Energy needed = Increment in surface energy

= (surface energy of $n$ small drops) -(surface energy of
one big drop)

$ = n4\pi {r^2}T - 4\pi {R^2}T = 4\pi T(n{r^2} - {R^2})$

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

Two masses $m_1$ and $m_2$ are connected by a massless spring of spring constant $k$ and unstretched length $l$. The masses are placed on a frictionless straight channel, which we consider our $X$-axis. They are initially at rest at $x=0$ and $x=l$, respectively. At $t=0$, a velocity of $v_0$ is suddenly imparted to the first particle. At a later time $t$, the centre of mass of the two masses is at
An aluminium piece of mass $50 \,g$ initially at $300^{\circ} C$ is dipped quickly and taken out of $1 \,kg$ of water, initially at $30^{\circ} C$. If the temperature of the aluminium piece immediately after being taken out of the water is found to be $160^{\circ} C$, the temperature of the water ............ $^{\circ} C$ Then, specific heat capacities of aluminium and water are $900 \,Jkg ^{-1} K ^{-1}$ and $4200 \,Jkg ^{-1} K ^{-1}$, respectively.
A projectile is projected with speed $u$ of an angle of $60^o$ with horizontal from the foot of an inclined plane. If the projectile hits the inclined plane horizontally, the range on inclined plane will be :-
A car is moving along a straight line, say $OP$ in given figure. It moves from $O$ to $P$ in $18\; s$ and returns from $P$ to $\mathrm{Q}$ in $6.0\; s$. What are the average velocity and average speed of the car in going from $O$ to $P$ and back to $Q?$
The efficiency of a Carnot's engine working between steam point and ice point is:
The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of $4 \mathrm{~m}, 2 \mathrm{~ms}^{-1}$ and $16 \mathrm{~ms}^{-2}$ at a certain instant. The amplitude of the motion is $\sqrt{\mathrm{x}} \mathrm{m}$ where $\mathrm{x}$ is. . . . . . . 
A projectile is fired with a speed $u$ at an angle $\theta$ with the horizontal. Its speed when its direction of motion makes an angle ‘$\alpha $’ with the horizontal is
An oscillator of mass $M$  is at rest in its equilibrium position in a potential $V\, = \,\frac{1}{2}\,k{(x - X)^2}.$ A particle of mass $m$  comes from right with speed $u$  and collides completely inelastically with $M$ and sticks to it . This process repeats every time the oscillator crosses its equilibrium position .The amplitude of oscillations after $13$  collisions is: $(M = 10,\, m = 5,\, u = 1,\, k = 1 ).$ 
The pressure exerted by a gas is dependent on its density:
The temperature at which the root mean square velocity of a molecule will be doubled than at $100°C$