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Two ions of masses 4 amu and 16 amu have...

Two ions of masses 4 amu and 16 amu have charges `+2e` and `+3e` respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then :

A

Lighter ion will be deflected less than heavior ion

B

Lighter ion will be deflected more than heavior ion

C

Both ions will be deflected equally

D

No ion will be deflected

Text Solution

Verified by Experts

The correct Answer is:
B
`r = P/(qB)=(sqrt(2mk))/(qB)`
Given , they have same kineti energy
`r prop (sqrt(m))/q`
`(r_(1))/(r_(2))=(sqrt(4))/2 xx 3/(sqrt(16))=3/4`
`r_(2)=(4r_(1))/3 ( r_(2) " is for heavier ion and "r_(1) " is for lighter ion ")`
.
`sin theta =d/R " " ( :. theta to " Deflection ")`
` theta prop 1/R " " ( :. R to " Radius of path ")`
` :. R_(2) gt R_(1) rArr theta_(2) lt theta_(1)` .
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