Question

If the angles of dip at two places are 30⁰ and 45⁰ respectively, Then the ratio of horizontal components of earth's magnetic field at the two places will be

• A. $\sqrt { 3 } : \sqrt { 2 }$
• B. $1 : \sqrt { 2 }$
• C. $1 : \sqrt { 3 }$
• D. $1 : 2$

Answer 1

Answer: (A)

$\sqrt { 3 } : \sqrt { 2 }$

Answer 2

By using

$B _ { H } = B \cos \phi \Rightarrow \frac { \left( B _ { H } \right) _ { 1 } } { \left( B _ { H } \right) _ { 2 } } = \frac { ( \cos \phi ) _ { 1 } } { ( \cos \phi ) _ { 2 } } = \frac { \cos 30 } { \cos 45 } = \sqrt { \frac { 3 } { 2 } }$