Oscillations-Quiz-14

OSCILLATIONS QUIZ 14

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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. Statement 1: The amplitude of a particle of a particle executing SHM with frequency of 60 Hz is 0.01 m. The maximum value of acceleration of the particle is ±144π² ms^(-2) Statement 2: Acceleration amplitude=ω² A, where A is displacement amplitude

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q2.Statement 1: In simple harmonic motion, the velocity is maximum when acceleration is minimum
Statement 2: Displacement and velocity of S.H.M. differ is phase by π/2

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q3.  Statement 1: For a particle of mass 1 kg executing simple harmonic motion, if slope of restoring force vs. displacement graph is -1, then the time period of oscillation will be 6.28 s Statement 2: If 1 kg mass is replaced by 2 kg mass and rest of the information remains same as in Statement I, then the time period of oscillation will remain 6.28 s

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q4. Statement 1: In a simple pendulum performing SHM, net acceleration is always between tangential and radial acceleration except at lowest point Statement 2: At lowest point tangential acceleration is zero

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q5.Statement 1: In a S.H.M., kinetic and potential energies become equal when the displacement is 1/√2 times the amplitude Statement 2: In SHM, kinetic energy is zero when potential energy is maximum

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution
 

Q6. Statement 1: The spring constant of a spring is K. When it is divided into n equal parts, then spring constant of one piece is K/n Statement 2: The spring constant is independent of material used for the spring

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q7. Statement 1: Ocean waves hitting a beach are always found to be nearly normal to the shore Statement 2: Ocean waves hitting a beach are assumed as plane waves

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q8.Statement 1: In extreme position of a particle executing S.H.M., both velocity and acceleration are zero Statement 2: In S.H.M., acceleration always acts towards mean position

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q9.Statement 1: Resonance is special case of forced vibration in which the natural frequency of vibration of the body is the same as the impressed frequency of external periodic force and the amplitude of forced vibration is maximum Statement 2: The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution

Q10. Statement 1: The amplitude of an oscillation pendulum decreases gradually with time
Statement 2: The frequency of the pendulum decreases with time

•  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
•  Statement 1 is True, Statement 2 is False
•  Statement 1 is False, Statement 2 is True

Solution