Oscillations - Online Test
Q1. Two pendulums have time periods T and 5T/4. They are in phase at their mean positions at some instant of time. What will be their phase difference when the bigger pendulum completes one oscillation?
Answer : Option D
Explaination / Solution:
Assuming bigger pendulum as the pendulum of bigger time period i.e.having time period
As the two pendulums start at the same time in simple harmonic motion from the mean position,their initial phase angles are zero
The bigger pendulum completes its one oscillation in time and comes back to the mean position.During this time the point on reference circle associated with SHM rotates by an angle 2π
If ω represents the angular velocity of the reference point associated with SHM of first pendulum of time period T,then the phase of the this pendulum after s willbe
Hence the phase difference
= 90
Q2. A particle is executing S.H.M of amplitude a with a time period T sec. The time taken by it to move from positive extreme position to half the amplitude is
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. The period of a simple pendulum is doubled when
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. Whose motion is an ideal case of SHM?
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. A particle executes SHM of time period T, the time period with which the total energy changes is
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. The length of a second’s pendulum decreases by 0.1percent, then the clock
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. A ball of mass 50 gm is suspended by a spring with a force constant K=49 N/m. The ball is raised to the position at which the spring is not tensioned and is released without a push. The ball will fall through a maximum distance of
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. A cylinder floats vertically in a tank full of water. The period of oscillation of the cylinder when depressed and released is dependent on
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. A particle is oscillating according to the equation X=7 cos 0.5 πt, where t is in seconds. The point moves from the position of equilibrium to maximum displacement in time
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. A weightless spring which has a force constant k oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2m is suspended from it. The frequency of oscillation will now become
Answer : Option D
Explaination / Solution:
No Explaination.
