JEE Mains · Physics · STD 11 - 7. gravitation
A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be \(......km\) (Take radius of earth \(=6400\,km\) and \(g =10\,ms^{-2}\) )
- A \(800\)
- B \(1600\)
- C \(2133\)
- D \(4800\)
Answer & Solution
Correct Answer
(A) \(800\)
Step-by-step Solution
Detailed explanation
\(v _{ e }=\sqrt{\frac{2 Gm }{ R }}\) \(\frac{- GMm }{ R }+\frac{1}{2} m \frac{ V _{ o }^{2}}{9}=-\frac{ GMm }{ R + h }\) \(\frac{ GM }{ R + h }=\frac{ GM }{ R }-\frac{ V _{ e }^{2}}{18}\) \(\frac{ GM }{ R + h }=\frac{ GM }{ R }-\frac{ GM }{9 R }\)…
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 critical angle for a denser-rarer interface is \(45^{\circ}\). The speed of light in rarer medium is \(3 \times 10^8\) ms. The speed of light in the denser medium is:JEE Mains 2023 Medium
- Net gravitational force at the centre of a square is found to be \( F_{1} \) when four particles having mass M, 2M, 3M and 4M are placed at the four corners of the square as shown in figure and it is \( F_{2} \) when the positions of 3M and 4M are interchanged. The ratio \( \frac{F_{1}}{F_{2}} \) is \( \frac{\alpha}{\sqrt{5}} \). The value of \( \alpha \) is __________ .
JEE Mains 2026 Easy - For a charged spherical ball, electrostatic potential inside the ball varies with \(r\) as \(V =2 ar ^2+ b\). Here, \(a\) and \(b\) are constant and \(r\) is the distance from the center. The volume charge density inside the ball is \(-\lambda a \varepsilon\). The value of \(\lambda\) is \(...........\). \(\varepsilon=\) permittivity of medium.JEE Mains 2023 Hard
- The light waves from two coherent sources have same intensity \({I}_{1}={I}_{2}={I}_{0} .\) In interference pattern the intensity of light at minima is zero.What will be the intensity of light at maxima?JEE Mains 2021 Medium
- A plane polarized light is incident on a polariser with its pass axis making angle \(\theta\) with \(x-\) axis, as shown in the figure. At four different values of \(\theta\), \(\theta\, = 8^o, 38^o, 188^o\) and \(218^o\), the observed intensities are same. What is the angle between the direction of polarization and \(x-\) axis.....\(^o\)
JEE Mains 2018 Hard - The value of aluminium susceptibility is \(2.2 \times 10^{-5}\). The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is \(\frac{x}{10^{4}}\). Then the value of \(x\) is ...... .JEE Mains 2021 Hard
More PYQs from JEE Mains
- The coefficient of \(x^{-5}\) in the binomial expansion of \({\left( {\frac{{x + 1}}{{{x^{\frac{2}{3}}} - {x^{\frac{1}{3}}} + 1}} - \frac{{x - 1}}{{x - {x^{\frac{1}{2}}}}}} \right)^{10}}\) where \(x \ne 0, 1\) , isJEE Mains 2017 Hard
- The value of \(\int \limits_{0}^{\pi} \frac{e^{\cos x} \sin x}{\left(1+\cos ^{2} x\right)\left(e^{\cos x}+e^{-\cos x}\right)} d x\) is equal toJEE Mains 2022 Hard
- A set of four observations has mean \(1\) and variance \(13\). Another set of six observations has mean \(2\) and variance \(1\). Then, the variance of all these \(10\) observations is equal to:JEE Mains 2026 Easy
- \(\)f(x)=\left| {\begin{array}{*{20}{c}} {{{\sin }^2}x}&{ - 2 + {{\cos }^2}x}&{\cos 2x} \\ {2 + {{\sin }^2}x}&{{{\cos }^2}x}&{\cos 2x} \\ {{{\sin }^2}x}&{{{\cos }^2}x}&{1 + \cos 2x} \end{array}} \right| ,x \in[0, \pi]\(\) Then the maximum value of \(f(x)\) is equal to \(.....\)JEE Mains 2021 Hard
- One mole of an ideal diatomic gas expands from volume V to 2 V isothermally at a temperature \(27^{\circ} C\) and does W joule of work. If the gas undergoes same magnitude of expansion adiabatically from \(27^{\circ} C\) doing the same amount of work W , then its final temperature will be (close to) ___________ \({ }^{\circ} C\).JEE Mains 2026 Hard
- Which of the following physical quantities have the same dimensions?JEE Mains 2022 Hard