A particle executing SHM while moving from one extremity is found to be at distances x₁, x₂ and x₃ from the mean position at the end of three successive seconds. The time period of oscillation is ('  ' used in the following choices is given by  )

A block of mass m is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four positions be and . Then
i)
ii)
iii)
iv) 

A pendulum has time period T for small oscillations. An obstacle P is situated below the point of suspension O at a distance . The pendulum is releases from rest. Throughout the motion the moving string makes small angle with vertical. Time after which the pendulum returns back to its initial position is

A mass m=8 kg is attached to a spring as shown in figure and held in position so that the spring remains unstretched. The spring constant is 200 N/m. The mass m is then released and begins to undergo small oscillations. The maximum velocity the mass will be

The two blocks of mass and are kept on a smooth horizontal table as shown in figure. Block of mass but not is fastened to the spring. If now both the blocks are pushed to the left so that the spring is compressed a distance . The amplitude of oscillation of block of mass after the system is released is

Five identical springs are used in the following three configurations. The time period of vertical oscillations in configuration (i) (ii) and (iii) are in the ratio

For the process Cu(g) →Cu+ (g) + e– , the electron is to be removed from

In the reaction, 2CuCl₂ + 2H₂O + SO₂ → A + H₂SO₄ + 2HCl ; A is

The variation of PE of a simple harmonic oscillator is as shown. Then force constant of the system is (PE 'U' is in joules, displacement ' x ' is in mm )

A particle at the end of the spring executes S.H.M with a period , while the corresponding period for another spring is . If the period of oscillation with two springs in series is ' T ', then (same particle connected in all the cases)

The flagpole and ground are ________ to each other.

For such questions, we should know about perpendicular lines and parallel lines.

Identify the perpendicular lines in the given figure.

For such questions, we should know about perpendicular lines and parallel lines. We should start with horizontal lines or verical lines. We should follow the order or there are chances to miss the lines.

Acceleration displacement graph of a particle executing S.H.M is as shown in given figure. The time period of its oscillation is (in sec)

The time period of a particle performing linear SHM is 12 s. What is the time taken by it to cover a distance equal to half its amplitude starting its motion from the mean position ?

A small mass particle is given an initial velocity tangent to the horizontal rim of a smooth hemispherical bowl at radius from the vertical centreline as shown at point A. As the particle slides past point B, on a vertical distance h below A and a distance r from the vertical centreline, its velocity v makes an angle with the horizontal tangentto the bowl through B.

A rectangular rigid fixed block has a long horizontal edge. A solid homogeneous cylinder of radius R is placed horizontally at rest with its length parallel to the edge such that the axis of the cylinder and the edge of the block are in the same vertical plane as shown in fig. There is sufficient friction present at the edge so that even a small displacement causes the cylinder to roll of the edge without slipping. The angle through which the cylinder rotates before it leaves contact with the edge is