AP EAMCET · PHYSICS · Mechanical Properties of Fluids
A liquid drop of diameter D splits into 3375 small identical drops. If S is the surface tension of the liquid, then the change in the surface energy in the process is
- A \(44 D^2 S\)
- B \(44 \pi D^2 S\)
- C \(56 \mathrm{D}^2 \mathrm{~S}\)
- D \(56 \pi D^2 S\)
Answer & Solution
Correct Answer
(A) \(44 D^2 S\)
Step-by-step Solution
Detailed explanation
\( \frac{4}{3} \pi (D/2)^3 = 3375 \times \frac{4}{3} \pi r^3 \) \( (D/2)^3 = 15^3 r^3 \Rightarrow D/2 = 15r \Rightarrow r = D/30 \) \( A_{initial} = 4 \pi (D/2)^2 = \pi D^2 \) \( A_{final} = 3375 \times 4 \pi (D/30)^2 = 3375 \times 4 \pi \frac{D^2}{900} = 15 \pi D^2 \)…
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
- A body of mass \(m\) is suspended to an ideal spring of force constant \(k\). The expected change in the position of the body due to an additional force \(F\) acting vertically downwards isAP EAMCET 2005 Medium
- A crane of efficiency \(80 \%\) is used to lift 8000 kg of coal from a mine of depth 108 m. If the time taken by the crane to lift the coal is one hour, then the power of the crane (in kW ) is
(Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )AP EAMCET 2025 Medium - Which of the following is true in the case of an adiabatic process, where \(\gamma=C_p / C_V\) ?AP EAMCET 2008 Easy
- A uniform solid sphere of radius produces a gravitational acceleration of on its surface. The distance of the point from the centre of the sphere where the gravitational acceleration becomes is,AP EAMCET 2022 Hard
- A convex lens has its radii of curvature equal. The focal length of the lens is \(f\). If it is divided vertically into two identical plano-convex lenses by cutting it, then the focal length of the plano-convex lens is ( \(\mu=\) the refractive index of the material of the lens)AP EAMCET 2014 Hard
- If a force of \(\left(6 x^2-4 x\right) \mathrm{N}\) acts on a body of mass 10 kg, then work to be done by the force in displacing the body from \(x=2 m\) to \(x=4 m\) isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- The sum of oxygen atoms in the formulae of peroxysulphuric acid and pyrosulphuric acid isAP EAMCET 2023 Medium
- A projectile can have the same range \(R\) for two angles of projection. If \(t_1\) and \(t_2\) be the times of flight in two cases, then their productAP EAMCET 2020 Medium
- If \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are non-coplanar unit vectors such that \(\mathbf{a} \times(\mathbf{b} \times \mathbf{c})=\frac{\mathbf{b}+\mathbf{c}}{\sqrt{2}}\), then the angle between \(\mathbf{a}\) and \(\mathbf{b}\) isAP EAMCET 2018 Easy
- When 2 moles of a monatomic gas expands adiabatically from a temperature of \(80^{\circ} \mathrm{C}\) to \(50^{\circ} \mathrm{C}\), the work done is W . The work done when 3 moles of a diatomic gas expands adiabatically from \(50^{\circ} \mathrm{C}\) to \(20^{\circ} \mathrm{C}\), isAP EAMCET 2024 Medium
- If the angles of a triangle are in the ratio \(1: 2: 3\), the corresponding sides are in the ratioAP EAMCET 2021 Easy
- Two coherent sources of intensity ratio \(9: 4\) produce interference. The intensity ratio of maxima and minima of the interference pattern isAP EAMCET 2015 Easy