Step 1: Define the angle of dip. The angle of dip, or magnetic inclination, is the angle made by the Earth's total magnetic field with the horizontal plane. It is denoted by \( \theta \).
Step 2: Relationship between horizontal and vertical components. At the location where the vertical (\( B_v \)) and horizontal (\( B_h \)) components of the magnetic field are equal, the tangent of the angle of dip (\( \theta \)) equals 1.
This is because: \[ \tan(\theta) = \frac{B_v}{B_h} \] When \( B_v = B_h \), \( \tan(\theta) = 1 \), which corresponds to an angle \( \theta = 45^\circ \).
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Electromagnetic waves carry energy but not momentum.
Reason (R): Mass of a photon is zero. In the light of the above statements.
choose the most appropriate answer from the options given below:
The dimension of $ \sqrt{\frac{\mu_0}{\epsilon_0}} $ is equal to that of: (Where $ \mu_0 $ is the vacuum permeability and $ \epsilon_0 $ is the vacuum permittivity)
If the roots of $\sqrt{\frac{1 - y}{y}} + \sqrt{\frac{y}{1 - y}} = \frac{5}{2}$ are $\alpha$ and $\beta$ ($\beta > \alpha$) and the equation $(\alpha + \beta)x^4 - 25\alpha \beta x^2 + (\gamma + \beta - \alpha) = 0$ has real roots, then a possible value of $y$ is: