The hour hand of a clock is 6 cm long. The magnitude of the displacement of the tip of hour hand between 12:00 pm to 6:00 pm is :

Options

A. 6 cm
B. `6sqrt(3) cm`
C. 12 cm
D. `3sqrt(3) cm `

Answer

3

Explanation

`(|vec(P)|)/(sin120^(@))=(|vec(Q)|)/(sin90^(@))=(|vec(R)|)/(sin 150^(@))`
`P/(sqrt(2)//2)=Q/1=R/(1//2)`
`P/(sqrt(3))=Q/2=R/1`
`P:Q:R:: sqrt(3) :2:1`