A stone of mass $1 \, kg$ is tied to end of a massless string of length $1 m$ If the breaking tension of the string is $400\, N$, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is :
A microscope is focused on an object at the bottom of a bucket If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then microscope have to be raised by $30\, cm$ to focus the object again The height of the liquid in the bucket is :
For a simple harmonic motion in a mass spring system shown, the surface is frictionless When the mass of the block is $1\, kg$, the angular frequency is $\omega_1$ When the mass block is $2 \,kg$ the angular frequency is $\omega_2$ The ratio $\omega_2 / \omega_1$ is