MHT CET · Physics · Mechanical Properties of Fluids
Water rises in a capillary tube of radius \(\mathrm{r}\) upto a height 'h'. The mass of water in a capillary is 'm'. The mass of water that will rise in a capillary of radius \(\frac{\mathrm{r}}{4}\) will be
- A \(\frac{m}{4}\)
- B \(\frac{4}{\mathrm{~m}}\)
- C 4m
- D m
Answer & Solution
Correct Answer
(A) \(\frac{m}{4}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{hr}=\) constant
\(\therefore\) rise of water in capillary of radius \(\frac{\mathrm{r}}{4}\) is \(4 \mathrm{~h}\)
Now, \(\pi \mathrm{r}^{2} \mathrm{~h} \rho=\mathrm{m}\)
\(\therefore \quad \pi\left(\frac{\mathrm{r}}{4}\right)^{2} \times 4 \mathrm{~h} \rho=\frac{\mathrm{m}}{4}\)
\(\therefore\) rise of water in capillary of radius \(\frac{\mathrm{r}}{4}\) is \(4 \mathrm{~h}\)
Now, \(\pi \mathrm{r}^{2} \mathrm{~h} \rho=\mathrm{m}\)
\(\therefore \quad \pi\left(\frac{\mathrm{r}}{4}\right)^{2} \times 4 \mathrm{~h} \rho=\frac{\mathrm{m}}{4}\)
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
- The ratio of thermal conductivity of two rods \(\mathrm{A}\) and \(\mathrm{B}\) with the same area of cross-section is \(3: 2\). If the thermal resistance of two rods is the same, then the ratio of length of rod A to length of rod B isMHT CET 2022 Medium
- In the arrangement of the capacitors as shown in figure, each capacitor is of \(6 \mu \mathrm{F}\), then equivalent capacity between points \(\mathrm{A}\) and \(B\) is
MHT CET 2021 Easy - The pressure and density of a diatomic gas \(\left(\gamma=\frac{7}{5}\right)\) changes adiabatically from \((\mathrm{P}, \rho)\) to \(\left(\mathrm{P}^{\prime}, \rho^{\prime}\right)\). If \(\frac{\rho^{\prime}}{\rho}=32\) then \(\frac{\mathrm{P}^{\prime}}{\mathrm{P}}\) should beMHT CET 2023 Hard
- Consider a planet whose density is same as that of the earth but whose radius is three times the radius ' \(R\) ' of the earth. The acceleration due to gravity ' \(\mathrm{g}_{\mathrm{n}}\) ' on the surface of planet is \(g_n=x\). \(g\) where \(g\) is acceleration due to gravity on surface, of earth. The value of ' \(\mathrm{x}\) ' isMHT CET 2023 Medium
- The end correction of resonance tube is 1 cm . If the shortest length resonating with a tuning fork is 15 cm , the next resonating length will beMHT CET 2024 Easy
- Three particles, each having a charge of \(10 \mu \mathrm{C}\) are placed at the corners of an equilateral triangle of side 10 cm. The electrostatic potential energy of the system is \(\left(\right.\) Given \(\left.\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} \mathrm{~N}-\mathrm{m}^{2} \mathrm{C}^{2}\right)\)MHT CET 2011 Hard
More PYQs from MHT CET
- If \(f(x)=\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)+\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\right), x \in(1, \infty)\), then \(f^{\prime}(x)\)MHT CET 2022 Medium
- Which of the following molecules shows intramolecular hydrogen bonding?MHT CET 2023 Easy
- Complete the following analogy with respect to habitat of mammals.
Dossorial mammals: i :: Arboreal mammals: iiMHT CET 2024 Hard - Which is an oxidizing agent in following reaction? \(\mathrm{Fe}_{(s)}+\mathrm{Cu}_{\mathrm{aq}}^{2+} \rightarrow \underset{\text { aq }}{\mathrm{Fe}_{(s)}^{2+}} \mathrm{Cu}_{(x)}\)MHT CET 2022 Easy
- The output Y when all the three inputs A, B, C are first low and then high will be
MHT CET 2022 Easy - A spherical rubber balloon carries a charge, uniformly distributed over the surface. As the balloon is blown up and increases in size, the total electric flux coming out of the surfaceMHT CET 2022 Easy