The vertical component of the earth’s magnetic field is 6 × 10–5 T at any place where the angle of dip is 37°. The earth’s resultant magnetic field at that place will be (Given tan 37° = ¾)
- 8x10-5 T
- 6x10-5 T
- 5x10-4 T
- 1x10-4 T
The Correct Option is D
Solution and Explanation
Bv=B0 sin θ
B0=\(\frac{B_v}{sinθ}\)
The earth’s resultant magnetic field,
\(B_0=\frac{6×10^{−5}}{sin37^∘}\)
\(=\frac{6×10−5}{3}×5\)
=1×10–4 T
So, the correct option is (D): 1×10–4 T.
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Concepts Used:
Horizontal and vertical lines
Horizontal Lines:
- A horizontal line is a sleeping line that means "side-to-side".
- These are the lines drawn from left to right or right to left and are parallel to the x-axis.
Equation of the horizontal line:
In all cases, horizontal lines remain parallel to the x-axis. It never intersects the x-axis but only intersects the y-axis. The value of x can change, but y always tends to be constant for horizontal lines.
Vertical Lines:
- A vertical line is a standing line that means "up-to-down".
- These are the lines drawn up and down and are parallel to the y-axis.
Equation of vertical Lines:
The equation for the vertical line is represented as x=a,
Here, ‘a’ is the point where this line intersects the x-axis.
x is the respective coordinates of any point lying on the line, this represents that the equation is not dependent on y.
⇒ Horizontal lines and vertical lines are perpendicular to each other.