At a certain place, the angle of dip is 30 ° and the horizontal component of earth's magnetic field is 50μ T . The total magnetic field (in μ T ) of the earth at this place, is

Correct answer: C. (100)/(3)μ T B = (H)/(cos ) = 50 cos 30 ^ o = (50 × 2)/(3) = (100)/(3)μ T (H = horizontal component of the earth's magnetic field and B = total magnetic field of earth)

NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

At a certain place, the angle of dip is 30 ° and the horizontal...

At a certain place, the angle of dip is

30 °

and the horizontal component of earth's magnetic field is

50\mu T

. The total magnetic field (in

\mu T

) of the earth at this place, is

Options

A $100\sqrt{3}\mu T$
B $100\mu T$
C $\dfrac{100}{3}\mu T$
D $200\mu T$

Correct answer

C. $\dfrac{100}{3}\mu T$

Step-by-step solution

B = \dfrac{H}{cos \delta} = \dfrac{50}{cos {30}^{o}} = \dfrac{50 \times 2}{3} = \dfrac{100}{3}\mu T

(H = horizontal component of the earth's magnetic field and B = total magnetic field of earth)

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