JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
A smooth inclined plane ends in a vertical circular loop, as shown in the figure. A small body is released from height \(h\) as shown. If the body exerts a force of three times its weight on the plane at the highest point of circle then the height \(h = \alpha R\). The value of \(\alpha\) is _______.
- A \(2\)
- B \(4\)
- C \(3\)
- D \(6\)
Answer & Solution
Correct Answer
(B) \(4\)
Step-by-step Solution
Detailed explanation
Let \(v\) be the velocity of the body at the highest point of the circular loop. At the highest point, the forces acting on the body are its weight \(mg\) (downwards) and the normal reaction \(N\) (downwards). The net downward force provides the necessary centripetal…
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
- As per given figures, two springs of spring constants \(K\) and \(2\,K\) are connected to mass \(m\). If the period of oscillation in figure \((a)\) is \(3 s\), then the period of oscillation in figure \((b)\) will be \(\sqrt{ x }\) s. The value of \(x\) is\(.........\)
JEE Mains 2022 Medium - A zener diode of power rating \(1.6\,W\) is to be used as voltage regulator. If the zener diode has a breakdown of \(8\,V\) and it has to regulate voltage fluctuating between \(3\,V\) and \(10 \,V\). The value of resistance \(R_5\) for safe operation of diode will be \(.........\Omega\)
JEE Mains 2023 Medium - A regular hexagon is formed by six wires each of resistance \(r \Omega\) and the corners are joined to centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will beJEE Mains 2026 Easy
-
Choose the correct answer from the options given belowList-\(I\) List-\(II\) \((a)\) \(MI\) of the rod (length \({L}\), Mass \({M}\), about an axis \(\perp\) to the rod passing through the midpoint) \((i)\;\frac {8 {ML}^{2}}{3}\) \((b)\) MI of the rod (length \(L\), Mass \(2 M\), about an axis \(\perp\) to the rod Passing through one its end) \((ii)\;\frac {{ML}^{2}}{3}\) \((c)\) MI of the rod (length \(2 {L}\), Mass \({M}\), about an axis \(\perp\) to the rod Passing through its midpoint) \((iii)\;\frac {{ML}^{2}}{12}\) \((d)\) MI of the rod (length \(2 {L}\), Mass \(2 {M}\), about an axis \(\perp\) to the rod passing through one of its end) \((iv)\;\frac {2 {ML}^{2}}{3}\) JEE Mains 2021 Medium - A solid sphere of mass \(M\) and radius \(R\) is divided into two unequal parts. The smaller part having mass \(M/8\) is converted into a sphere of radius \(r\) and the larger part is converted into a circular disc of thickness \(t\) and radius \(2R\). If \(I_1\) is moment of inertia of a sphere having radius \(r\) about an axis through its centre and \(I_2\) is the moment of inertia of a disc about its diameter, the ratio of their moment of inertia \(I_2/I_1 = \) _____.JEE Mains 2026 Hard
- Consider the efficiency of Carnot's engine is given by \(\eta=\frac{\alpha \beta}{\sin \theta} \log _{e} \frac{\beta x}{k T}\), where \(\alpha\) and \(\beta\) are constants. If \(T\) is temperature, \(k\) is Boltzman constant, \(\theta\) is angular displacement and \(x\) has the dimensions of length. Then, choose the incorrect option.JEE Mains 2022 Hard
More PYQs from JEE Mains
- In a geometric progression, if the ratio of the sum of first \(5\) terms to the sum of their reciprocals is \(49\), and the sum of the first and the third term is \(35\) . Then the first term of this geometric progression isJEE Mains 2014 Hard
- The value of \(\int_{-\pi / 2}^{\pi / 2} \frac{\cos ^{2} x}{1+3^{x}} d x\) isJEE Mains 2021 Medium
- Consider the triangles with vertices \(A (2,1) B (0,0)\) and \(C ( t , 4), t \in[0,4]\). It the maximum and the minimum perimeters of such triangles are obtained at \(t=\alpha\) and \(t=\beta\) respectively, then \(6 \alpha+21 \beta\) is equal to \(.........\).JEE Mains 2023 Hard
- One mole of an ideal gas at \(27^{\circ} {C}\) is taken from \({A}\) to \({B}\) as shown in the given \({PV}\) indicator diagram. The work done by the system will be \(......\times 10^{-1} \,{J}\) [Given : \(R=8.3\, {J} /\,mole\,{K}, \ln 2=0.6931\) ] (Round off to the nearest integer)
JEE Mains 2021 Medium - Let \(x=2\) be a local minima of the function \(f(x)=2 x^4-18 x^2+8 x+12, x \in(-4,4)\). If \(M\) is local maximum value of the function \(f\) in \((-4,4)\), then \(M =\)JEE Mains 2023 Hard
- The increase in pressure required to decrease the volume of a water sample by \(0.2 \%\) is \(\mathrm{P} \times 10^5 \mathrm{Nm}^{-2}\). Bulk modulus of water is \(2.15 \times 10^9 \mathrm{Nm}^{-2}\). The value of P is ________.JEE Mains 2025 Medium