Oscillations-Quiz-10

OSCILLATIONS QUIZ 10

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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. A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates

•  a) f/2
•  b) f
•  c) 2f
•  d) 4f

Solution

Q2.A block P of mass m is placed on a smooth horizontal surface. A block Q of same mass is placed over the block P and the coefficient of static friction between them is μ_s. A spring of spring constant K is attached to block Q. The blocks are displaced together to a distance A and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is

•  Zero
•  K/span>
•  KA/2
•  μg

Solution

Q3.  In the previous problem, the displacement of the particle from the mean position corresponding to the instant mentioned is

•  5/π m
•  (5√3)/π m
•  (10√3)/π m
•  (5√3)/2π m

Solution

Q4. The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t=4/3 s is

•  a) √3/32 π² cms^(-2)
•  b) -π²/32 cms^(-2)
•  c) π²/32 cms^(-2)
•  d) -√3/32 π² cms^(-2)

Solution

Q5.While a particle executes simple harmonic motion, the rate of change of acceleration is maximum and minimum, respectively at

•  The mean position and extreme positions
•  The extreme positions and mean position
•  The mean position alternatively
•  The extreme positions alternatively

Solution
 

Q6. In the previous question, the magnitude of velocity of particle at the mentioned instant is

•  πA/T
•  (√2 πA)/R
•  Zero
•  √(7/8)×2πA/T

Solution

Q7.A block A is connected to spring and performs simple harmonic motion with a time period of 2 s. Another block B rests on a. The coefficient of static friction between A and B is μ_ss=0.6. The maximum amplitude of oscillation which the system can have so that there is no relative motion between A and B is (take π²=g=10)

•  0.3 m
•  0.6 m
•  0.4 m
•  0.52 m

Solution

Q8.The diagram below shows a sinusoidal curve. The equation of the curve will be

•  y=10 sin⁡(16t+π/4)cm
•  y=10 sin⁡(16t+π/3)cm
•  y=10 sin⁡(16t-π/4)cm
•  y=10 cos⁡(16t+π/4)cm

Solution

Q9.A solid right circular cylinder of weight 10 kg and cross-sectional area 100 cm² is suspended by a spring, where k=1 kg/m³ as shown in figure. What is its period when it makes simple harmonic vertical oscillations? (Take g= 10 m/s²)

•  0.6 s
•  1 s
•  1.5 s
•  2.2 s

Solution

Q10.  In a certain oscillatory system (particle is performing SHM), the amplitude of motion is 5 m and the time period is 4 s. Time minimum time taken by the particle for passing between point, which are at distance of 4 m and 3 m from the centre and on the same side of it will approximately be

•  16/45 s
•  7/45 s
•  8/45 s
•  13/45 s

Solution