1.

A proton, at deuteron and an alpha-particle are projected perpendicular to the direction of a uniform magnetic field with same kinetic energy. The ratio of the radii of the circular paths described by them is

Answer»

`1:sqrt(2):1`
`1:sqrt(2):sqrt(2)`
`sqrt(2):1:1`
`sqrt(2):sqrt(2):1`

SOLUTION :According to the question, magnetic UNIFORM and the kinetic energy for each particle are same. We know that,
`r=(mv)/(qB)=(sqrt(2M(K.E)))/(qB)`
`r alpha (m)/(q)`
`r_(p): r_(d): r_(alpha)= sqrt((m)/(q)): sqrt((2m)/(q)):sqrt((m)/(q))`
`=1: sqrt(2):1`


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