A horizontal rod of mass 0 . 01 kg and length 10 cm is placed on a frictionless plane inclined at an angle 60 ° with the horizontal and with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field is applied vertically downwards. If the current through the rod is 1 . 73 A , then the value of magnetic field induction B for which the rod remains stationary on the inclined plane is

Question

A horizontal rod of mass 0 . 01 kg and length 10 cm is placed on a frictionless plane inclined at an angle 60 ° with the horizontal and with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field is applied vertically downwards. If the current through the rod is 1 . 73 A , then the value of magnetic field induction B for which the rod remains stationary on the inclined plane is, 1 T, 3 T, 2 . 5 T, 4 T

MARKS App · Accepted Answer

Here two forces are acting on the rod simultaneously. From the hypothetical free body diagram. m g sin ⁡ 60 = B i l cos ⁡ 60 o B = m g i l tan ⁡ 60 o = 0.01 × 10 1.73 × 0.1 × 3 B = 1 T

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