## OSCILLATIONS QUIZ - 2

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts..

Q1. A particle is performing SHM according to the equation x=(3 cm)sin⁡(2Ï€/18 + Ï€/6), where t is in second. The distance travelled by the particle in 39 s is
•  24 cm
•  1.5 cm
•  25.5cm
•  None of these
Solution

Q2.A ball of mass (m)0.5 kg is attached to the end of a string having length (L)0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in radian/s) is
•  9
•  18
•  27
•  36
Solution

Q3. A particle performs simple harmonic motion with amplitude A and time period T. The mean velocity of the particle over the time interval during which it travels a distance of A/2 starting from executing position is
•  A/T
•  2A/T
•  3A/T
•  A/2T
Solution

Q4. A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple harmonically. The period of oscillation will be

•
•
•
•
Solution

Q5. A thin uniform rod of mass 1kg and length 12 cm is suspended by a wire that passes through its centre and is perpendicular to its length. The wire is twisted and the rod is set oscillating. Time period of oscillation is found to be 3 s. when a flat triangular plate is suspended in same way through its centre of mass, the time period is found to be 6 s. The moment of inertia of the triangular plate about this axis is

Q5. A thin uniform rod of mass 1kg and length 12 cm is suspended by a wire that passes through its centre and is perpendicular to its length. The wire is twisted and the rod is set oscillating. Time period of oscillation is found to be 3 s. when a flat triangular plate is suspended in same way through its centre of mass, the time period is found to be 6 s. The moment of inertia of the triangular plate about this axis is
•
•
•
•
Solution

Q6. The potential energy of a particle of mass 1 kg in motion along the x-axis is given by: U=4(1-cos⁡2x), where x is in metres. The period of small oscillation (in seconds) is
•  2Ï€
•  Ï€
•  Ï€/2
•  √2 Ï€
Solution

Q7. A block of mass 1 kg hangs without vibrating at the end of a spring whose force constant is 200 N/m and which is attached to the ceiling of an elevator. The elevator is rising with an upward acceleration of g/3 when the acceleration suddenly ceases. The angular frequency of the block after the acceleration cases is
•  None of these
Solution

Q8. A simple harmonic motion along the x-axis has the following properties: amplitude =0.5 m, the time to go from one extreme position to other is 2 s and x=0.3 m at t=0.5 s. The general equation of the simple harmonic motion is
•
•

•

•

Solution

Q9. A horizontal spring-block system of mass 2 kg executes SHM. When the block is passing through its equilibrium position, an object of mass 1 kg is put it and the two move together. The new amplitude of vibration is (A being its initial amplitude)
•  √(2/3) A
•  √(3/2) A
•  √2 A
•  A/√2
Solution

Q10. A wooden block performs SHM on a frictionless surface with frequency, v0. The block carries a change +Q on its surface. If now a uniform electric field E is switched-on as shown, then SHM of the block will be

•  Of the same frequency and with shifted mean position
•  Of the same frequency and with the same mean position
•  Of changed frequency and with shifted mean position
•  Of changed frequency and with the same mean position
Solution

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