Question:
On the magnetic meridian at some place of the Earth’s surface the vertical component of Earth’s magnetic field is \(0.433\,G\) and the dip angle is \(60^\circ\). Then the magnetic field of the Earth at this place is:
On the magnetic meridian at some place of the Earth’s surface the vertical component of Earth’s magnetic field is \(0.433\,G\) and the dip angle is \(60^\circ\). Then the magnetic field of the Earth at this place is:
Show Hint
Use \(B_V = B \sin I\) and \(B_H = B \cos I\) in Earth magnetism problems.
Updated On: Jun 19, 2026
- \(0.5\,G\)
- \(1.4\,G\)
- \(1.7\,G\)
- \(0.7\,G\)
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Use relation of vertical component.
Vertical component of Earth’s magnetic field is: \[ B_V = B \sin I \] where \(I\) is dip angle.
Step 2: Substitute values.
\[ 0.433 = B \sin 60^\circ \] \[ \sin 60^\circ = \frac{\sqrt{3}}{2} \approx 0.866 \]
Step 3: Solve for \(B\).
\[ B = \frac{0.433}{0.866} = 0.5\,G \]
Step 4: Final conclusion.
Thus, total magnetic field is: \[ \boxed{0.5\,G} \]
Vertical component of Earth’s magnetic field is: \[ B_V = B \sin I \] where \(I\) is dip angle.
Step 2: Substitute values.
\[ 0.433 = B \sin 60^\circ \] \[ \sin 60^\circ = \frac{\sqrt{3}}{2} \approx 0.866 \]
Step 3: Solve for \(B\).
\[ B = \frac{0.433}{0.866} = 0.5\,G \]
Step 4: Final conclusion.
Thus, total magnetic field is: \[ \boxed{0.5\,G} \]
Was this answer helpful?
0
0
Top AP EAPCET Physics Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The radii of the two columns in a U - tube are r1 and r2. When a liquid of density p (angle of contact is $ 0{}^\circ $ ) is filled in it, the level difference of the liquid in the two arms is h. The surface tension of the liquid is: (g = acceleration due to gravity)
- A rigid metallic sphere is spinning around its own axis in the absence of external torque. If the temperature is raised, its volume increases by $9 \%$. The change in its angular speed is
View More Questions
Top AP EAPCET Magnetism and matter Questions
- A proton and an alpha particle moving with energies in the ratio \( 1:4 \) enter a uniform magnetic field of 37 T at right angles to the direction of the field. The ratio of the magnetic forces acting on the proton and the alpha particle is:
- At a place the horizontal component of earth’s magnetic field is \( 3 \times 10^{-5} \) T and the magnetic declination is \( 30^\circ \). A compass needle of magnetic moment \( 18 \) A\(m^2\) pointing towards geographic north at this place experiences a torque of:
- Among the following, the quantity that is termed as gyro magnetic ratio is (Given: $m_e$ = mass of electron, $e$ = charge of electron)
- Core of electromagnets are made of materials which have the properties
- The radius of the path of an electron moving at a speed of $ 3.2 \times 10^7 $ ms$ ^{-1} $ in a magnetic field of $ 6 \times 10^{-4} $ T perpendicular to it is (mass of electron is $ 9 \times 10^{-31} $ kg and charge of electron is $ 1.6 \times 10^{-19} $ C)
View More Questions
Top AP EAPCET Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- The four quantum numbers of the valence electron of potassium are :
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
View More Questions