An object is placed in front of a spherical mirror. A virtual image is formed behind the mirror at a distance of 10 cm. The image's height is 4 cm. The magnification is 0.5. what is the focal length
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Ответ:
F = 113.4.
N
Explanation: Net Force is the total forces acting in an object. In this case, there are two forces acting on the charge: one due to magnetic field (Fm) and another due to electric field (Fe). So, net force is
F = Fe + Fm
Force due to electric field
To determine this force:
Fe = q.E, where q is the charge and E is electric field.
Calculating:
Fe = q.E
Fe = 1.8.
.4.6.![10^{3}](/tpl/images/0550/3865/838fb.png)
Fe = 8.28.
N
Force due to magnetic field: It can only happens when the charge is in movement, so
Fm = q.(v×B), where v represents velocity and B is magnetic field
The cross product indicates that force is perpendicular to the velocity and the field.
Calculating:
Fm = q.v.B.senθ
As θ=90°,
Fm = q.v.B
Fm = 1.8.
.3.1.
.1.2.![10^{-3}](/tpl/images/0550/3865/229cf.png)
Fm = 6.696.
N
F, Fm and Fe make a triangle. So, using Pythagorean theorem:
F =![\sqrt{Fe^{2} + Fm^{2} }](/tpl/images/0550/3865/f424e.png)
F =![\sqrt{(8.28.10^{-3} )^{2} +(6.696.10^{-3} )^{2} }](/tpl/images/0550/3865/5b3c4.png)
F = 113.4.
N
The net force acting on the charge is F = 113.4.
N