Question

A stone is tied at the end of a rope of length 1 m and whirled in a vertical circle. The ratio of velocity at highest point to lowest point will be ______.

Options

• `sqrt3 : 1`

• `1 : sqrt5`

• `sqrt3 : sqrt5`

• `sqrt5 :1`

Answer 1

A stone is tied at the end of a rope of length 1 m and whirled in a vertical circle. The ratio of velocity at highest point to lowest point will be `underline(1 : sqrt5)`.

Explanation:

Velocity at the highest point v₁ = `sqrt"rg"`

Velocity at the lowest point v₂ = `sqrt(5"rg")`

`therefore"v"_1/"v"_2=1/sqrt5`