A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic and not drawn to scale)

Question

A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic and not drawn to scale) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

v2=u2+2as v2=0+2((qE/m))x v2=(2qE/m)x

Q. A particle of mass $m$ and charge $q$ is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed $v$ on the distance $x$ travelled by it is correctly given by (graphs are schematic and not drawn to scale)

$v^{2} = u^{2} + 2 a s$
$v^{2} = 0 + 2 (\frac{qE}{m}) x$
$v^{2} = \frac{2 qE}{m} x$

Q. A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic and not drawn to scale)

v2=u2+2as v2=0+2(mqE​)x v2=m2qE​x

Q. A particle of mass $m$ and charge $q$ is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed $v$ on the distance $x$ travelled by it is correctly given by (graphs are schematic and not drawn to scale)

$v^{2} = u^{2} + 2 a s$
$v^{2} = 0 + 2 (\frac{qE}{m}) x$
$v^{2} = \frac{2 qE}{m} x$