AP EAMCET · PHYSICS · Mechanical Properties of Fluids
A rain drop of radius \(r\) is falling through air, starting from rest. The work done by all the forces on the drop, when it attains terminal velocity, is proportional to
- A \(r^3\)
- B \(r^7\)
- C \(r^5\)
- D \(r^4\)
Answer & Solution
Correct Answer
(B) \(r^7\)
Step-by-step Solution
Detailed explanation
Given, radius of rain drop \(=\mathrm{r}\) Since, rain drop starts falling from rest, hence its initial speed, \(u=\mathbf{0}\) Final velocity of rain drop is equal to the terminal velocity \(v\), which is given by \(v=\frac{2 g r^2(\rho-\sigma)}{9 \eta}\) where,…
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 27 charged water droplets, each of radius \(10^{-3} \mathrm{~m}\) and charge \(10^{-12} \mathrm{C}\) coalesce to form a single big spherical drop, then the potential of the big drop isAP EAMCET 2025 Medium
- A black body radiates energy at the rate of \(E\) watt \(/ \mathrm{m}^2\) at a high temperature \(T \mathrm{~K}\). When the temperature is reduced to \(\left(\frac{T}{2}\right) \mathrm{K}\), the radiant energy isAP EAMCET 2007 Easy
- A car travels with a speed of . Rain drops are falling at a constant speed vertically. The traces of the rain on the side windows of the car make an angle of with the vertical. The magnitude of the velocity of the rain with respect to the car isAP EAMCET 2022 Medium
- When the temperature of a gas is raised from \(27^{\circ} \mathrm{C}\) to \(90^{\circ} \mathrm{C}\). The increase in the rms velocity of the gas molecules isAP EAMCET 2024 Easy
- The frequency of ac at which \(16 \mu \mathrm{F}\) capacitor and \(\frac{10}{\pi^2}\) \(\mathrm{mH}\) inductor will have same reactance isAP EAMCET 2023 Easy
- A force \(\overrightarrow{\mathrm{F}}=4 \hat{\mathrm{i}}-15 \hat{\mathrm{j}} \mathrm{N}\), acts on a body resulting in a displacement of \(6 \hat{i}\). If the body had a kinetic energy of 7 joules at the beginning of the displacement, the kinetic energy at the end of the displacement isAP EAMCET 2022 Medium
More PYQs from AP EAMCET
- Let \(f(x)\) be a differentiable function, \(A(0, \alpha)\) and \(B(8, \beta)\) be two points on the curve \(y=f(x)\). Given \(f(0)=2\) and \(f^{\prime}(4)=\frac{-3}{4}\). If the chord \(A B\) of the curve is parallel to the tangent drawn at the point \((4, \mathrm{f}(4))\), then \(\beta=\)AP EAMCET 2023 Easy
- \(\int \frac{x}{\left(1-x^2\right) \sqrt{2-x^2}} d x=\)AP EAMCET 2025 Medium
- The colour code for a resistance of is _____AP EAMCET 2020 Easy
- The image formed by a convex mirror of focal length \(30 \mathrm{~cm}\) is a quarter of the size of the object. The distance of the object from the mirror isAP EAMCET 2023 Easy
- If ' \(n\) ' electrons are placed on each of the two small spheres with their centres spaced \(3 \mathrm{~cm}\) apart so that they repel each other by a force of \(10^{-19} \mathrm{~N}\) then ' \(\mathrm{n}\) ' will be
\(\left[\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right]\)AP EAMCET 2017 Easy - Suppose exists for all real . If and then which one among the following statements is definitely true?AP EAMCET 2019 Medium