1.

Anelectron falls throgh a distance of 1.5 cm in a uniform electric field of magnitude2.0 xx10^(4) N c^(-1)the direction of the fieldis reversed keeping its magnitude unchangedandaproton falls throughthe same distance computethe time of falls in each case contrastthe situation with that of free fall under gravity

Answer»

Solution :The field is upward so the negatively charged the magnitude of the electricof the ELECTRON is`a_(e )=eE//m_(e )`
where `m_(e )` is the mas of the electron
distanceh is given by `t_(e )=sqrt(2h)/(a_(e ))=sqrt(2hm_(e ))/(e E)`
For e=`1.6 xx10^(-19) C, m_(e )=9.11 xx10^(-31)` kg
`t_(e )=2.9n xx10^(-9)` S
where `m_(p)` is the mass of the proton `m_(p)=1.67 xx10^(-27)` kg the time of fall for the proton is
`t_(p)=sqrt(2h)/(a_(p))=sqrt(2hm_(p))/(eE)=1.3 xx10^(-7)` S
`a_(p)=(eE)/(m_(p))`
`=1.9xx10^(12) ms^(-2)`
which is enormous compared to the value of g (9.8 `ms^(-2)`)the acceleration DUE to GRAVITY thethus the effect of acceleration due to gravity can be ignored in this example


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