Explanation
The phrase " hang by a thread " means being in a precarious or unstable situation where failure or disaster is imminent. It originates from the idea of something barely holding on , like a thread that could snap at any moment. Show/Hide Explanation
Explanation
The Sapir-Whorf Hypothesis (Linguistic Relativity) suggests that language shapes thought and perception . It proposes that speakers of different languages perceive and interpret the world differently based on their linguistic structures. Show/Hide Explanation
Explanation
A neologism is a newly coined word or expression that has recently entered the language. " Selfie " is a modern term that emerged with the rise of smartphones and social media, making it a clear example of a neologism. Show/Hide Explanation
Explanation
Cauchy's Mean Value Theorem states that if two functions f(x) and g(x) are continuous on the closed interval [a, b] and differentiable on the open interval (a, b), and g'(x) ≠ 0 for any x in (a, b), then there exists a point c in (a, b) such that: (f'(c) / g'(c)) = (f(b) - f(a)) / (g(b) - g(a))
The necessary conditions for Cauchy's Mean Value Theorem are :
1. The functions f(x) and g(x) are continuous on [a, b]. 2. The functions f(x) and g(x) are differentiable on (a, b). 3. g'(x) ≠ 0 for any x in (a, b).
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The phrase means encountering a person or situation that is much harder to handle than expected. It originates from military slang, where soldiers mistakenly captured a strong enemy instead of an easy target. Show/Hide Explanation
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Jump on the bandwagon means to adopt a popular activity, idea, or trend because many others are doing it. Example: Many companies jumped on the electric vehicle bandwagon after seeing its success. Show/Hide Explanation
کسی بھی کیمیائی تبدیلی کے لئے توازن مستقل کی عددی قدر ______ کو تبدیل کرنے سے متاثر ہوتی ہے؟
Explanation
The equilibrium constant (K) depends on temperature as per the Van't Hoff equation. Changing concentration does not affect K, but shifts the equilibrium position. Show/Hide Explanation
Explanation
SN² reactions prefer primary and secondary alkyl halides due to less steric hindrance. Tertiary alkyl halides do not undergo SN² reactions because of high steric hindrance , making backside attack difficult. Show/Hide Explanation
گاوسی تقسیم ______ اور ______ کی خصوصیت ہے؟
Explanation
Gaussian distribution (normal distribution) is defined by its mean (central value). Standard deviation measures the spread of data around the mean. Show/Hide Explanation
رد عمل کا انفالپی ایک ہی ہے چاہے رد عمل ایک یا کئی مراحل میں ہوتا ہے۔ یہ کے طور پر جانا جاتا ہے؟
Explanation
Hess's law states that the total enthalpy change of a reaction is independent of the pathway taken. It follows the principle of energy conservation in thermodynamics. Show/Hide Explanation
