MHT CET · Physics · Mechanical Properties of Fluids
A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be
- A same as the smaller droplet.
- B half of that for smaller droplet
- C \(\left(\frac{1}{4}\right)^{\text {th }}\) of that for smaller droplet.
- D twice that for smaller droplet
Answer & Solution
Correct Answer
(B) half of that for smaller droplet
Step-by-step Solution
Detailed explanation
Volume of 8 smaller drops \(=\) Volume of the bigger drop
\(\begin{array}{ll}
& \Rightarrow 8 \times \frac{4}{3} \pi r^3=\frac{4 \pi}{3} R^3 \\
\therefore & 2 r=R \text { or } r=\frac{R}{2}
\end{array}\)
\(\begin{aligned} & \text { Excess pressure }\left(P_i-P_o\right)=\frac{2 T}{r} \\ & \Delta P_s=\frac{T}{2 r}, \Delta P_B=\frac{T}{2 R} \\ \therefore \quad & \frac{\Delta P_B}{\Delta P_S}=\frac{r}{R}=\frac{1}{2} \\ & \Rightarrow \Delta P_B=\frac{\Delta P_S}{2}\end{aligned}\)
\(\begin{array}{ll}
& \Rightarrow 8 \times \frac{4}{3} \pi r^3=\frac{4 \pi}{3} R^3 \\
\therefore & 2 r=R \text { or } r=\frac{R}{2}
\end{array}\)
\(\begin{aligned} & \text { Excess pressure }\left(P_i-P_o\right)=\frac{2 T}{r} \\ & \Delta P_s=\frac{T}{2 r}, \Delta P_B=\frac{T}{2 R} \\ \therefore \quad & \frac{\Delta P_B}{\Delta P_S}=\frac{r}{R}=\frac{1}{2} \\ & \Rightarrow \Delta P_B=\frac{\Delta P_S}{2}\end{aligned}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- If KE of the particle of mass \(m\) performing UCM in a circle of radius \(r\) is \(E\). Find the acceleration of the particleMHT CET 2010 Easy
- Two sound waves of slightly different frequencies propagating in the same direction produce beats due toMHT CET 2022 Easy
- A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The ratio of their absolute temperature isMHT CET 2023 Easy
- The kinetic energy of a particle, executing simple harmonic motion is 16 J when it is in mean position. If amplitude of motion is 25 cm and the mass of the particle is 5.12 kg , the period of oscillation isMHT CET 2024 Medium
- A spherical liquid drop of radius \(\mathrm{R}\) is divided into 8 equal droplets. If surface tension is \(\mathrm{S}\), then the work done in this process will beMHT CET 2023 Medium
- If the temperature of the sun is doubled, the rate of energy received by the earth will be increased by a factorMHT CET 2021 Easy
More PYQs from MHT CET
- The instantaneous value of an alternating current is given by \(\mathrm{I}=50 \sin (100 \pi \mathrm{t})\). It will achieve a value of \(25 \mathrm{~A}\) after a time interval of \(\left(\sin 30^{\circ}=0.5\right)\)MHT CET 2021 Medium
- \(\int \frac{d x}{e^x+e^{-x}+2}=\)MHT CET 2021 Medium
- If \(A=\left[\begin{array}{lll}1 & a & 3 \\ 1 & 1 & 5 \\ 2 & 4 & 7\end{array}\right]\) and \(A^{-1}=\left[\begin{array}{ccc}13 & 2 & -7 \\ -3 & b & 2 \\ -2 & 0 & 1\end{array}\right]\), then the values of \(a\) and \(b\) are respectivelyMHT CET 2022 Easy
- Four particles each of mass ' m ' are lying symmetrically on the rim of disc of mass ' \(M\) ' and radius ' \(R\) '. Moment of inertia of the system about an axis passing through one of the particle and perpendicular to plane of disc isMHT CET 2025 Medium
- Rate of reaction for \(2 \mathrm{X}+\mathrm{Y} \rightarrow 3 \mathrm{~W}+\mathrm{Z}\) is \(1.2 \times 10^{-4} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{sec}^{-1}\) when \([\mathrm{X}]=[\mathrm{Y}]=0.6 \mathrm{~mol} \mathrm{dm}^{-3}\)
Calculate value of rate constant if reaction is first order in \(\mathrm{X}\) and zero order in YMHT CET 2022 Medium - Identify the reason for the solubility of polar solute in polar solvent from the following.MHT CET 2024 Medium