JEE Mains · Physics · STD 11 - 3.2 motion in plane
A ball of mass \(0.5 \mathrm{~kg}\) is attached to a string of length \(50 \mathrm{~cm}\). The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is \(400 \mathrm{~N}\). The maximum possible value of angular velocity of the ball in rad/s is _______.
- A \(1600\)
- B \(40\)
- C \(1000\)
- D \(20\)
Answer & Solution
Correct Answer
(B) \(40\)
Step-by-step Solution
Detailed explanation
\(\mathrm{T}=\mathrm{m} \omega^2 \ell\) \(400=0.5 \omega^2 \times 0.5\) \(\omega=40 \mathrm{rad} / \mathrm{s} .\)
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
- Two particles \(\mathrm{X}\) and \(\mathrm{Y}\) having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radius \(R_1\) and \(R_2\) respectively. The mass ratio of \(\mathrm{X}\) and \(\mathrm{Y}\) is _______.JEE Mains 2024 Medium
- Consider a spherical shell of radius \(R\) at temperature \(T\). The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume\(E=\) \(\frac{U}{V} \propto {T^4}\) and pressure \(P = \frac{1}{3}\left( {\frac{U}{V}} \right)\) If the shell now undergoes an adiabatic expansion the relation between \(T\) and \(R\) isJEE Mains 2015 Hard
- A potentiometer \(PQ\) is set up to compare two resistances as shown in the figure. The ameter \(A\) in the circuit reads \(1.0\, A\) when two way key \(K_3\) is open. The balance point is at a length \(l_1\, cm\) from \(P\) when two way key \(K_3\) is plugged in between \(2\) and \(1\) , while the balance point is at a length \(l_2\, cm\) from \(P\) when key \(K_3\) is plugged in between \(3\) and \(1\) . The ratio of two resistances \(\frac{{{R_1}}}{{{R_2}}}\) is found to be
JEE Mains 2017 Medium - Unpolarized light of intensity \(I_0\) incident on surface of a block of glass at Brewster's angle. In that case, which one of ihe following statements is true ?JEE Mains 2015 Medium
- A bob of mass \(m\) attached to an inextensible string of length \(l\) is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed \(\omega\ rad/s\) about the vertical. About the point of suspension:JEE Mains 2014 Easy
- A galvanometer of resistance \(G\) is converted into a voltmeter of range \(0-1\, V\) by connecting a resistance \(R _{1}\) in series with it. The additional resistance that should be connected in series with \(R _{1}\) to increase the range of the voltmeter to \(0-2\, V\) will beJEE Mains 2020 Hard
More PYQs from JEE Mains
- Let the mirror image of the point \((1,3, a)\) with respect to the plane \(\overrightarrow{ r }\). \((2 \hat{ i }-\hat{ j }+\hat{ k })- b =0\) be \((-3,5,2) .\) Then the value of \(| a + b |\) is equal to ...... .JEE Mains 2021 Medium
- In a certain town, \(25\%\) of the families own a phone and \(15\%\) own a car; \(65\%\) families own neither a phone nor a car and \(2,000\) families own both a car and a phone. Consider the following three statements \((A)\,\,\,5\%\) families own both a car and a phone
\((B)\,\,\,35\%\) families own either a car or a phone
\((C)\,\,\,40,000\) families live in the town
Then,JEE Mains 2015 Hard - An object is dropped from a height \(h\) from the ground. Every time it hits the ground it looses \(50\%\) of its kinetic energy. The total distance covered as \(t \to \infty \) isJEE Mains 2017 Hard
- Let the tangent drawn to the parabola \(y ^{2}=24 x\) at the point \((\alpha, \beta)\) is perpendicular to the line \(2 x\) \(+2 y=5\). Then the normal to the hyperbola \(\frac{x^{2}}{\alpha^{2}}-\frac{y^{2}}{\beta^{2}}=1\) at the point \((\alpha+4, \beta+4)\) does \(NOT\) pass through the point.JEE Mains 2022 Medium
- The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is \(\frac{\pi}{2}\) at point \(P\) and \(\pi\) at point \(Q\). Then the difference between the resultant intensities at \(P\) and \(Q\) will be.......\(I\)JEE Mains 2022 Medium
- In an experiment, electrons are accelerated, from rest, by applying, a voltage of \(500 \,V.\) Calculate the radius of the path if a magnetic field \(100\,mT\) is then applied. [Charge of the electron \(= 1.6 \times 10^{-19}\,C\) Mass of the electron \(= 9.1 \times 10^{-31}\,kg\) ]JEE Mains 2019 Medium