KCET · Physics · Mechanical Properties of Fluids
While determining the coefficient of viscosity of the given liquid, a spherical steel ball sinks by a distance \(\mathrm{h}=0.9 \mathrm{~m}\). The radius of the ball \(\mathrm{r}=\sqrt{3} \times 10^{-3} \mathrm{~m}\). The time taken by the ball to sink in three trails are tabulated as follows.
| Trial No. | Time taken by the ball to fall by h (in second) |
| 1. | 2.75 |
| 2. | 2.65 |
| 3. | 2.70 |
- A \(0.14 \mathrm{~Pa} . \mathrm{s}\)
- B \(0.14 \times 10^{-3} \mathrm{~Pa} . \mathrm{s}\)
- C \(14 \mathrm{~Pa} . \mathrm{s}\)
- D 0.28 Pa.s
Answer & Solution
Correct Answer
(A) \(0.14 \mathrm{~Pa} . \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{t}_{\text {avg}}=\frac{2.75+2.65+2.70}{3}=2.7 \mathrm{sec} \)
\( \text {Terminal velocity }=\frac{\mathrm{h}}{\mathrm{t}_{\text {avg }}} \)
\( \mathrm{V}_{\mathrm{t}}=\frac{1}{3} \mathrm{~m} / \mathrm{s} \)
\( \mathrm{n}=\frac{2}{9} \frac{\pi^2 \mathrm{~g}\left(\mathrm{~S}_{\text {stell }}-\mathrm{S}_{\text {liquid }}\right)}{\mathrm{V}_{\mathrm{t}}} \)
\( \mathrm{n}=0.14 \mathrm{~Pa} . \mathrm{S}\)
\( \text {Terminal velocity }=\frac{\mathrm{h}}{\mathrm{t}_{\text {avg }}} \)
\( \mathrm{V}_{\mathrm{t}}=\frac{1}{3} \mathrm{~m} / \mathrm{s} \)
\( \mathrm{n}=\frac{2}{9} \frac{\pi^2 \mathrm{~g}\left(\mathrm{~S}_{\text {stell }}-\mathrm{S}_{\text {liquid }}\right)}{\mathrm{V}_{\mathrm{t}}} \)
\( \mathrm{n}=0.14 \mathrm{~Pa} . \mathrm{S}\)
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
- Dimensional formula for activity of radioactive substance isKCET 2024 Easy
- In the figure shown, if the diode forward voltage drop is \( 0.2 \mathrm{~V} \), the voltage difference between \( \mathrm{A} \)
and \( \mathrm{B} \) is
KCET 2017 Medium - A capacitor of capacitance \(5 \mu \mathrm{~F}\) is charged by a battery of emf 10 V . At an instant of time, the potential difference across the capacitors is 4 V and the time rate of change of potential difference across the capacitor is \(0.6 \mathrm{Vs}^{-1}\). Then, the time rate at which energy is stored in the capacitor at any instant isKCET 2024 Hard
- In Raman effect, Stokes' lines are spectral lines havingKCET 2007 Medium
- The upper level of valence band and lower level of conduction band overlap in the case ofKCET 2024 Medium
- Solar spectrum is an example forKCET 2008 Easy
More PYQs from KCET
- Current flowing through a wire decreases linearly from \(10\) A to zero in \(4\) s as shown in the graph. Find the total charge flowing through the wire in the given time interval.
KCET 2026 Easy - If \(\overrightarrow{\mathbf{a}} \cdot \overrightarrow{\mathbf{b}}=-|\overrightarrow{\mathbf{a}}||\overrightarrow{\mathbf{b}}|\), then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\vec{b}\) isKCET 2009 Easy
- The spectral series of the hydrogen atom that lies in the visible region of the electromagnetic spectrumKCET 2009 Easy
- The S.I. unit of specific heat capacity isKCET 2017 Medium
- If the operation \( \oplus \) is defined by \( a \oplus b=a^{2}+b^{2} \) for all real numbers 'a' and 'b', then \( (2 \oplus 3) \oplus \)
\( 4= \)KCET 2015 Hard - The correct statement regarding entropy is,KCET 2016 Easy