JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
A liquid of density \(600\) kg/m\(^3\) flowing steadily in a tube of varying cross-section. The cross-section at a point \(A\) is \(1.0\) cm\(^2\) and that at \(B\) is \(20\) mm\(^2\). Both the points \(A\) and \(B\) are in same horizontal plane, the speed of the liquid at \(A\) is \(10\) cm/s. The difference in pressures at \(A\) and \(B\) points is ________ Pa.
- A \(18\)
- B \(144\)
- C \(36\)
- D \(72\)
Answer & Solution
Correct Answer
(D) \(72\)
Step-by-step Solution
Detailed explanation
Using the equation of continuity: \(A_A v_A = A_B v_B\) \((1.0 \times 10^{-4}) \times 0.1 = (20 \times 10^{-6}) \times v_B\) \(v_B = \dfrac{10^{-5}}{2 \times 10^{-5}} = 0.5\) m/s Using Bernoulli's equation for a horizontal tube:…
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 region between \(y = 0\) and \(y = d\) contains a magnetic field \(\vec B = B\hat z\) A particle of mass \(m\) and charge \(q\) enters the region with a velocity \(\vec v = v\hat i\). If \(d = \frac{{mv}}{{2qB}}\) , the acceleration of the charged particle at the point of its emergence at the other side isJEE Mains 2019 Hard
- Two radioactive materials \(A\) and \(B\) have decay constants \(25 \lambda\) and \(16 \lambda\) respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of \(B\) to that of \(A\) will be "\(e\)" after a time \(\frac{1}{a \lambda}\). The value of \(a\) is \(......\)JEE Mains 2022 Medium
- The expression given below shows the variation of velocity \((v)\) with time (t), \(v=\mathrm{At}^2+\frac{\mathrm{Bt}}{\mathrm{C}+\mathrm{t}}\). The dimension of ABC is :JEE Mains 2025 Hard
- If the series limit frequency of the Lyman series is \(v_L\), then the series limit frequency of the \(P\)-fund series isJEE Mains 2018 Medium
- Given below are two statements:
Statement I: For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon.
Statement II: For all elements, nuclei with less binding energy per nucleon transforms to nuclei with greater binding energy per nucleon.
In the light of the above statements, choose the correct answer from the options given below:JEE Mains 2026 Hard - What will be the nature of flow of water from a circular tap, when its flow rate increased from \(0.18\, L / min\) to \(0.48\, L / min\) ? The radius of the tap and viscosity of water are \(0.5\, cm\) and \(10^{-3}\, Pa s\), respectively. (Density of water : \(10^{3}\, kg / m ^{3}\) )JEE Mains 2021 Medium
More PYQs from JEE Mains
- Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants. If the number of games that the men played between themselves exceeds the number of games that the men played with the women by \(66\), then the number of men who participated in the tournament lies in the intervalJEE Mains 2014 Hard
- If for positive integers \(r> 1, n > 2\), the coefficients of the \((3r)^{th}\) and \((r + 2)^{th}\) powers of \(x\) in the expansion of \(( 1 + x)^{2n}\) are equal, then \(n\) is equal toJEE Mains 2013 Hard
- If the mean deviation about the mean of the numbers \(1,2,3, \ldots ., n\), where \(n\) is odd, is \(\frac{5(n+1)}{n}\), then \(n\) is equal toJEE Mains 2022 Medium
- Two sides of a parallelogram are along the lines, \(x + y = 3\) and \(x -y + 3 = 0\). If its diagonals intersect at \((2, 4)\), then one of its vertex isJEE Mains 2019 Hard
- Let \(z\) satisfy \(\left| z \right| = 1\) and \(z = 1 - \vec z\). Statement \(1\) : \(z\) is a real number Statement \(2\) : Principal argument of \(z\) is \(\frac{\pi }{3}\)JEE Mains 2013 Hard
- The number of solutions of the equation \(2 \theta-\cos ^{2} \theta+\sqrt{2}=0\) is \(R\) is equal toJEE Mains 2022 Hard