One end of an elastic string of natural length ‘l’ and modulus ‘X’ is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance ‘x’, held at rest and then released.
The motion is

In case of S.H.M. the period of oscillation (T), is given by

A. $${\text{T}} = \frac{{2\omega }}{{{\pi ^2}}}$$

B. $${\text{T}} = \frac{{2\pi }}{\omega }$$

C. $${\text{T}} = \frac{2}{\omega }$$

D. $${\text{T}} = \frac{\pi }{{2\omega }}$$

The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

A. 0.1 rad/sec

B. 1 rad/sec

C. 10 rad/sec

D. 100 rad/sec

A body is said to move with Simple Harmonic Motion if its acceleration, is

A. Always directed away from the centre, the point of reference

B. Proportional to the square of the distance from the point of reference

C. Proportional to the distance from the point of reference and directed towards it

D. Inversely proportion to the distance from the point of reference

The resultant of two forces P and Q acting at an angle $$\theta $$, is

A. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{P}}\sin \theta $$

B. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\cos \theta $$

C. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\tan \theta $$

D. $$\sqrt {{{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\cos \theta } $$

E. $$\sqrt {{{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\sin \theta } $$