Two particles of masses m and `M(Mgtm)` are connected by a cord that passes over a massless, frictionless pulley. The tension T in the string and the acceleration a of the particles is

Options

A. `1.7`
B. `3.0`
C. `0.58`
D. `2.0`

Answer

A

Explanation

`m_2 g sin 60^@ = F cos 45^@ " "....(i)`
`m_1 g sin 30^@ = F cos 45^@ " "....(ii)`
On dividing eq. (i) by (ii)
`m_1/m_2=(sin60)/(sin30)=(sqrt3//2)/(1//2)=1.732`