If two similar springs each of spring constant K₁ are joined in series, the new spring constant and time period would be changed by a factor :

A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R³. Its time period of revolution will be given by :

The temperature $$\theta$$ at the junction of two insulating sheets, having thermal resistances R₁ and R₂ as well as top and bottom temperatures $$\theta$$₁ and $$\theta$$₂ (as shown in figure) is given by :

Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire of length L carrying a charge Q. The distance of the point P from the centre of the rod is a = $${{\sqrt 3 } \over 2}L$$.