A proton and and `alpha `- particle are accelerated through a potential difference of `100 V`. The ratio of the wavelength with the proton to that associated to that associated with an `alpha` - particle isA. `sqrt(2) : 1`B. `2 : 1`C. `2 sqrt(2) : 1`D. `(1)/( 2 sqrt(2)) : 1`

A proton and and `alpha `- particle are accelerated through a potentia

1.	A proton and and `alpha `- particle are accelerated through a potential difference of `100 V`. The ratio of the wavelength with the proton to that associated to that associated with an `alpha` - particle isA. `sqrt(2) : 1`B. `2 : 1`C. `2 sqrt(2) : 1`D. `(1)/( 2 sqrt(2)) : 1`
Answer» Correct Answer - C `lambda = (h)/(sqrt(2 m QV)) rArr lambda prop (1)/(sqrt(mQ)) rArr (lambda_(p))/(lambda_(alpha)) = sqrt((m_(alpha) Q_(alpha))/( m_(p) Q_(p)))` `rArr sqrt((4m_(p) xx 2 Q_(p))/( m_(p) xx Q_(p))) = 2 sqrt(2)`

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A proton and and `alpha `- particle are accelerated through a potential difference of `100 V`. The ratio of the wavelength with the proton to that associated to that associated with an `alpha` - particle isA. `sqrt(2) : 1`B. `2 : 1`C. `2 sqrt(2) : 1`D. `(1)/( 2 sqrt(2)) : 1`

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