JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
The average mass of rain drops is \(3.0\times10^{-5}\, kg\) and their avarage terminal velocity is \(9\, m/s\). Calculate the energy transferred by rain to each square metre of the surface at a place which receives \(100\, cm\) of rain in a year
- A \(3.5\times10^5\, J\)
- B \(4.05\times10^4\, J\)
- C \(3.0\times10^5\, J\)
- D \(9.0\times10^4\, J\)
Answer & Solution
Correct Answer
(B) \(4.05\times10^4\, J\)
Step-by-step Solution
Detailed explanation
Total volume of rain drops, recrived \(100\,cm\) in a year by area \(1\,m^2\) \( = 1{m^2} \times \frac{{100}}{{100}}m = 1\,{m^3}\) As we know, density of water, \(d = {10^3}\,kg/{m^3}\) Therefore, mass of this volume of water, \(M = d \times v = {10^3} \times 1 = {10^3}\,kg\)…
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 gas mixture consists of \(3\,moles\) of oxygen and \(5\,moles\) or argon at temperature \(T.\) Considering only translational and rotational modes, the total internal energy of the system isJEE Mains 2019 Medium
- The relative uncertainty in the period of a sateilite orbiting around the earth is \(10^{-2}\). If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth isJEE Mains 2018 Medium
- Two small equal point charges of magnitude \(q\) are suspended from a common point on the ceiling by insulating mass less strings of equal lengths. They come to equilibrium with each string making angle \(\theta \) from the vertical. If the mass of each charge is \(m,\) then the electrostatic potential at the centre of line joining them will be \(\left( {\frac{1}{{4\pi { \in _0}}} = k} \right).\)JEE Mains 2013 Hard
- A person travelling on a straight line moves with a uniform velocity \(\mathrm{v}_1\) for a distance x and with a uniform velocity \(\mathrm{v}_2\) for the next \(\frac{3}{2} \mathrm{x}\) distance. The average velocity in this motion is \(\frac{50}{7} \mathrm{~m} / \mathrm{s}\). If \(\mathrm{v}_1\) is \(5 \mathrm{~m} / \mathrm{s}\) then \(\mathrm{v}_2=\) _________ \(\mathrm{m} / \mathrm{s}\).JEE Mains 2025 Easy
- A \(90 \mathrm{~kg}\) body placed at \(2 \mathrm{R}\) distance from surface of earth experiences gravitational pull of _______. ( \(\mathrm{R}=\) Radius of earth, \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )JEE Mains 2024 Hard
- A circular hole of radius \(\frac{R}{4}\) is made in a thin uniform disc having mass \(M\) and radius \(R\), as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the point \(O\) and perpendicular to the plane of the disc is
JEE Mains 2017 Hard
More PYQs from JEE Mains
- Among the relations \(S =\left\{( a , b ): a , b \in R -\{0\}, 2+\frac{ a }{ b } > 0\right\}\) And \(T =\left\{( a , b ): a , b \in R , a ^2- b ^2 \in Z \right\}\),JEE Mains 2023 Hard
- Let \(f: R \rightarrow R\) be defined as \(f(x)=\left\{\begin{array}{ccc}x^{5} \sin \left(\frac{1}{x}\right)+5 x^{2}& , & x<0 \\ 0 & , & x=0 \\ x^{5} \cos \left(\frac{1}{x}\right)+\lambda x^{2} & , & x>0\end{array} .\right.\) The value of \(\lambda\) for which \(f^{\prime \prime}(0)\) exists, isJEE Mains 2020 Hard
- The displacement of a particle executing SHM is given by \(x=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{m}\). The time period of motion is \(3.14 \mathrm{~s}\). The velocity of the particle at \(\mathrm{t}=0\) is_________ \(\mathrm{m} / \mathrm{s}\).JEE Mains 2024 Hard
- If \(\int \limits_0^1 \frac{1}{\left(5+2 x -2 x ^2\right)\left(1+ e ^{(2-4 x)}\right)} dx =\frac{1}{\alpha} \log _{ e }\left(\frac{\alpha+1}{\beta}\right)\) \(\alpha, \beta > 0\), then \(\alpha^4-\beta^4\) is equal to:JEE Mains 2023 Hard
- The largest value of \(r\) for which the region represented by the set \(\{ \omega \, \in \,C|\,\omega \, - \,4\, - \,i|\, \le \,r\} \) is contained in the region represented by the set \((z\, \in \,c/|\,z\, - \,1\,\,\left| \le \right|\,z\, + \,i|),\) is equal toJEE Mains 2015 Hard
- At any instant the velocity of a particle of mass \(500\,g\) is \(\left(2 t \hat{ i }+3 t ^2 \hat{ j }\right)\,ms ^{-1}\). If the force acting on the particle at \(t=1 s\) is \((\hat{i}+x \hat{j}) N\). Then the value of \(x\) will be:JEE Mains 2023 Medium