In the figure given below. a block of mass $M =490\,g$ placed on a frictionless table is connected with two springs having same spring constant $\left( K =2 N m ^{-1}\right)$. If the block is horizontally displaced through ' $X$ 'm then the number of complete oscillations it will make in $14 \pi$ seconds will be $.........$

If a spring of stiffness $k$ is cut into two parts $A$ and $B$ of length $l_{A}: l_{B}=2: 3$, then the stiffness of spring $A$ is given by

Three masses $700g, 500g$ and $400g$ are suspended at the end of a spring a shown  and are in equilibrium. When the $700g$ mass is removed, the system oscillates with a  period of $3\,seconds$, when the $500g$ mass is also removed, it will oscillate with a period of .... $s$

A force of $20\,dyne$ applied to the end of spring increase its length of $1\, mm$, then force constant will be what ?

The period of oscillation of a mass $M$ suspended from a spring of negligible mass is $T$. If along with it another mass $M$ is also suspended , the period of oscillation will now be

What is spring constant of spring ? Write its unit and dimensional formula.