Explain the basic emotions given by Paul Ekman.
Points:
(i) Happiness
(ii) Sadness
(iii) Anger
(iv) Fear
Paul Ekman identified six basic emotions that are universally recognized across different cultures.
Four of these emotions are:
Happiness: A positive emotional state associated with pleasure and life satisfaction, contributing to well-being and fostering social connections. Sadness: A response to loss or disappointment, aiding in grief processing and encouraging support-seeking behavior.
Anger: A reaction to perceived threats or injustices. While it can drive action, uncontrolled anger may lead to conflict.
Fear: A survival instinct that activates the fight-or-flight response in threatening situations, helping to avoid danger. These emotions are fundamental to human behavior, communication, and survival.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Explain the construction of a spherical wavefront by using Huygens' principle.
The perpendicular distance of the plane \( r \cdot (3\hat{i} + 4\hat{j} + 12\hat{k}) = 78 \) from the origin is __________.