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Figure-1 to Figure-4 shows four different spring arrangements. Mass m in each arrangement is displaced from its equilibrium position and released. Neglect mass of the springs. Choose the correct statement(s)

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Important Questions on Oscillations

MEDIUM
JEE Main/Advance
IMPORTANT

Two identical springs have the same force constant 73.5 Nm-1. The elongation produced in each spring in three cases shown in Figure-1, Figure-2 and Figure-3 are respectivelyg=9.8 ms-2 

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JEE Main/Advance
IMPORTANT

If a bob of mass m is attached as shown in figure. When displaced, the pendulum will undergo S.H.M. with a period T is equal to

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MEDIUM
JEE Main/Advance
IMPORTANT

A small block of mass 2 kg is placed on a bigger block of mass 4 kg which is attached to horizontal spring of spring constant K=500 N m-1 as shown in figure, coefficient of friction between blocks is 0.2. Maximum amplitude of system so that there is no relative slipping between blocks 

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MEDIUM
JEE Main/Advance
IMPORTANT
If a ball is dropped from height 2 metre on a smooth elastic floor, then the time period of oscillation is
MEDIUM
JEE Main/Advance
IMPORTANT
A car is moving on a horizontal road with constant acceleration ' a '. A bob of mass ' m ' is suspended from the ceiling of car. The mean position about which the bob will oscillate is given by ('θ ' is angle with vertical)
HARD
JEE Main/Advance
IMPORTANT

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant K. A mass M hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to

MEDIUM
JEE Main/Advance
IMPORTANT

A pendulum has period T for small oscillations. An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum bob when it swings in the left of its resting position as shown in the figure. The pendulum is released from rest at a certain point  A. The time taken by it to return to that point is

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MEDIUM
JEE Main/Advance
IMPORTANT
A simple pendulum of mass' m ', swings with maximum angular displacement of 60°. When its angular displacement is 30°, the tension in the string is