Question

Please answer the question in the attachment!!


No irrelevant answers needed!
Don't know..Don't answer. Or else reported asap!!
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Answer 1

Answer:

(a) Remain unaffected is the answer

Explanation:

We know that, from the Lorentz Law

F = q.(v × B)

F = Force on the particle

q = Charge of the particle

v = Velocity of the particle (with direction i.e. Velocity Vector)

B = Magnetic field vector

Here , '×' means Cross Product.

So, From the given question we understand that v is +ve x - direction and B is in -ve x - direction

So, on cross product of $\hat {i}$ and $- \hat i$ we get 0

As, the angle between them is 180° ; cross product is zero

[Cross product of a and b = a × b = |a||b|sinθ $\hat n$ ($\hat n$ is the perpendicular vector of a and b; θ is the angle between a and b)]

So, as the cross product is zero, F on the particle remains unaffected

❖ Extra information:

⟡ What is cross product of two vectors?

=> Cross product of two vectors is the method of multiplication of two vectors. The cross product of two vectors is the third vector that is perpendicular to the two original vectors. Its magnitude is given by the area of the parallelogram between them and its direction can be determined by the right-hand thumb rule.

⟡ What is Lorentz Law?

=> Lorentz law is the force which is sum of the electric forces and magnetic forces. In out words, Lorentz law is defined as the sum of forces of electromagnetic forces.

F = qE + q (v × B)

Hope it helps!

Answer 2

Explanation:

We know that, from the Lorentz Law

F = q.(v × B)

F = Force on the particle

q = Charge of the particle

v = Velocity of the particle (with direction i.e. Velocity Vector)

B = Magnetic field vector

Here , '×' means Cross Product.

So, From the given question we understand that v is +ve x - direction and B is in -ve x - direction

So, on cross product of

we get 0

As, the angle between them is 180° ; cross product is zero

[Cross product of a and b = a × b

^

is the perpendicular vector of a and b; θ is the angle between a and b)]

So, as the cross product is zero, F on the particle remains unaffected

❖ Extra information:

⟡ What is cross product of two vectors?

=> Cross product of two vectors is the method of multiplication of two vectors. The cross product of two vectors is the third vector that is perpendicular to the two original vectors. Its magnitude is given by the area of the parallelogram between them and its direction can be determined by the right-hand thumb rule.

⟡ What is Lorentz Law?

=> Lorentz law is the force which is sum of the electric forces and magnetic forces. In out words, Lorentz law is defined as the sum of forces of electromagnetic forces.

F = qE + q (v × B)

Hope it is worthy:)

~bhavika :)

hii :)