MCQ
A spherical liquid drop of radius $R$ is divided into eight equal droplets. If surface tension is $T$, then the work done in this process will be
  • A
    2$\pi {R^2}T$
  • B
    3$\pi {R^2}T$
  • 4$\pi {R^2}T$
  • D
    2$\pi R{T^2}$

Answer

Correct option: C.
4$\pi {R^2}T$
c
(c)$W = 4\pi {R^2}T({r^{1/3}} - 1) = 4\pi {R^2}T({8^{1/3}} - 1) = 4\pi {R^2}T$

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

If speed of a particle moving in a circle of radius $2\,m$ is given as $v = 2t + 2$, then its centripetal acceleration after $1\, s$ will be   ......... $m/s^2$
The value closest to the thermal velocity of a Helium atom at room temperature $(300\,K)$in $ms^{-1}$ is $[k_B\, = 1 .4\times10^{-23}\,J/K;\, m_{He}\, = 7\times10^{-27}\,kg]$
A block of mass $1 \,kg$ attached to a spring is made to oscillate with an initial amplitude of $12\, cm$. After $2\, minutes$ the amplitude decreases to $6\, cm$. Determine the value of the damping constant for this motion. (take In $2=0.693$ )
The figure shows a velocity-time graph of a particle moving along a straight line  The maximum displacement of the particle is  ........ $m$
A particle moves in the $xy$ -plane with velocity $u_x = 8t -2$ and $u_y = 2$. If it passes through  the point $(14, 4)$ at $t = 2\, s$, the equation of its path is 
A body of mass 400g connected to a spring with spring constant 10Nm-1, executes simple harmonic motion, time period of oscillation is
Heat capacity of a substance depends on:
A long horizontal rod has a bead which can slide along its length, and initially placed at a distance $L$ from one end $A$ of the rod. The rod is set in angular motion about $A$ with constant angular acceleration $\alpha$. If the coefficient of friction between the rod and the bead is $\mu$, and gravity is neglected, then the time after which the bead starts slipping is
The length of a metallic rod is $5m$ at $0°C$ and becomes $  5.01\, m$, on heating upto $100°C$. The linear expansion of the metal will be
The vector projection of a vector $3\hat i + 4\hat k$ on $Y-$axis is