The standard international (SI) unit for molar conductivity, \( \Lambda_m \), is expressed as: \[ S \, m^2 \, \text{mol}^{-1} \] In this expression:
- \( S \) (Siemens) denotes the unit of electrical conductivity,
- \( m^2 \) indicates the area over which the conductivity is measured,
- \( \text{mol}^{-1} \) signifies per mole of the solution's electrolyte.
Explain the construction of a spherical wavefront by using Huygens' principle.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.