A short magnetic needle is pivoted in a uniform magnetic field of induction 1 T. Now, simultaneously another magnetic field of induction √3 T is applied at right angles to the first field; the needle deflects through an angle θ whose value is

Question

A short magnetic needle is pivoted in a uniform magnetic field of induction 1 T. Now, simultaneously another magnetic field of induction √3 T is applied at right angles to the first field; the needle deflects through an angle θ whose value is (A) 30° (B) 45° (C) 90° (D) 60°

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/1b429561df246c497335011b5db0cfe7-.png" /> In balance condition B2 =B1 tan θ or tan θ=(√3/1)=√3 θ=60°

Q. A short magnetic needle is pivoted in a uniform magnetic field of induction $1 T$ . Now, simultaneously another magnetic field of induction $3 T$ is applied at right angles to the first field; the needle deflects through an angle $θ$ whose value is

$3 0^{\circ}$

$4 5^{\circ}$

$9 0^{\circ}$

$6 0^{\circ}$

In balance condition
$B_{2} = B_{1} tan θ$
or $tan θ = \frac{3}{1} = 3$
$θ = 6 0^{\circ}$

Q. A short magnetic needle is pivoted in a uniform magnetic field of induction 1T. Now, simultaneously another magnetic field of induction 3​T is applied at right angles to the first field; the needle deflects through an angle θ whose value is

30∘

45∘

90∘

60∘