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Physics

Class 03 – Gravitation

July 28, 2015 Manish Verma

Class 03 – Gravitation (Preview) is embedded below and full class can either be downloaded from here or can be rented from YouTube here.

Gravitation
Quiz

Heisenberg Uncertainty Principle Short Quiz

July 26, 2015 Manish Verma

[WpProQuiz 7]

Heisenberg Uncertainty Principle
Mathematics

Prove that for every positive integer n ……

February 27, 2015 Manish Verma Leave a comment

Continue reading Prove that for every positive integer n …… →

InequalityProgression
Mathematics

Find a function \(g:R \to R\) ……

December 14, 2014 Manish Verma Leave a comment

Continue reading Find a function \(g:R \to R\) …… →

Definite Integration
Chemistry

The number of aldol reaction(s) ……

December 8, 2014 Manish Verma Leave a comment

[JEE 2012]

Continue reading The number of aldol reaction(s) …… →

Aldol Condensation
Physics

A thin uniform rod, pivoted at O ……..

December 6, 2014 Manish Verma 1 Comment

A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed w, as shown in the figure.

[JEE 2012]

Continue reading A thin uniform rod, pivoted at O …….. →

Rotational Mechanics
Mathematics

Let \(\alpha (a)\) and \(\beta (a)\) be the roots ………

December 5, 2014 Manish Verma Leave a comment

Let \alpha (a) and \beta (a) be the roots of the equation

\left( {\sqrt[3]{{1 + a}} - 1} \right){x^2} + \left( {\sqrt {1 + a} - 1} \right)x + \left( {\sqrt[6]{{1 + a}} - 1} \right) = 0 where a>-1.

Then {\lim _{a \to 0 + }}\alpha (a) and {\lim _{a \to 0 + }}\beta (a) are

(A) - \frac{5}{2} and 1     (B) - \frac{1}{2} and -1     (C) - \frac{7}{2} and 2     (D) - \frac{9}{2} and 3

[Note: If equations above are not visible, please click here.]

[JEE 2012]

Continue reading Let \(\alpha (a)\) and \(\beta (a)\) be the roots ……… →

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Blog Posts

  • ${\scriptscriptstyle 6 + f(x) = 2f( – x) + 3{x^2}\int\limits_{ – 1}^1 {f(t)dt}}$
  • $\scriptstyle f(x) = {\left( {\frac{x}{\pi }} \right)^x} + {\left( {\frac{\pi }{x}} \right)^x}$
  • $\scriptstyle \sqrt {7 – \sqrt {7 + \sqrt {7 – \sqrt {7 + …..} } } }$
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