Correct Answer - B
Given total mass of girl bicycle and stone
`m_(1) = (50 + 0.5) kg =50.5kg`
Velocity of bicycle `u_(1) =5m//s`, Mass of girl and bicycle ` m = 50 kg`
Yes the speed of the bicycle changes after the stone is thrown.
Let after throwing the stone the speed of bicycle be m//s According to law of conservation of linear momentum,
`m_(1) u_(1) =m_(2) u_(2) +mv`
`50.5xx5 =0.5 xx 15 + 50 +v`
`252.5 -7.5 = 50v`
or `v = (245.0)/(50)`
`v = 4.9m//s` .