True or false In an LPP, the objective function is always a linear function.

Fill in the blanks: In S.H.M. _____ is always directed towards the mean position.

Two variables, which are directly proportionaql to each other always give a linear relationship.

Why S.H.M. so called?

Is linear momentum of any system always conserved?

The solution of a linear equation in one variable is always an integer

Show that the total energy of a body moving with S.H.M. is conserved.

A cylindrical log of wood of height h and area of cross-section A floasts in water. It is pressed and then released. Show that the log would execute S.H.M. with a time period T = 2pi sqrt(m//Arhog) where m is mass of the body and rho is density of the liquid.

Water in U-tube executes S.H.M. Will the time period for mercury filled up to the same height in the U-tube be lesser or greater than that in case of water?

When the potential energy of a particle executive S.H.M. is one-fourth of the maximum value during the oscillation, its displacement from the equilibrium position in terms of its amplitude a is