When a particle is thrown up vertically from the surface of the earth (radius R), we have v2-u2=2(-g)h (h << R) if the effects due to the atmosphere of the earth are neglected (symbols mean the usual things). However, if h << R condition is not applicable, prove that 
Continue reading $$v^2-u^2 \neq 2as$$
All posts by Engineer Manish Verma
High Temperature in a Fusion Lab Quiz
A nuclear fusion lab requires very high temperature for the fusion reaction to take place. Mr X says, “The temperature at Sun’s surface is around 6000 K. We can use advanced lenses/mirrors to focus Sun’s rays and get temperature much higher than 6000 K. Mr Y disagrees. Who is right?
(A) Mr X
(B) Mr Y
(C) Information is insufficient to answer
Largest Value of Non-Negative Integer $$a$$
The largest value of the nonnegative integer a for which
is
[JEE Advanced 2014]
Continue reading Largest Value of Non-Negative Integer $$a$$
Tangents to Curve $$y = \int\limits_0^x {|t|dt}$$
The intercepts on x-axis made by tangents to the curve, 
, which are parallel to the line y = 2x, are equal to:
(1) 
(2) 
(3) 
(4) 
[JEE Main 2013]
Continue reading Tangents to Curve $$y = \int\limits_0^x {|t|dt}$$
Parallel Circular Loops Magnetic Flux
A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is:
(1) 9.1 x 10-11 weber (2) 6 x 10-11 weber (3) 3.3 x 10-11 weber (4) 6.6 x 10-9 weber
[JEE Main 2013]
\(xMnO_4^ – + y{C_2}O_4^{2 – } + z{H^ + } \to xM{n^{2 + }} + 2yC{O_2} + \frac{z}{2}{H_2}O\)
Consider the following reaction:
The values of x, y and z in the reaction are, respectively:
(1) 5, 2 and 16 (2) 2, 5 and 8 (3) 2, 5 and 16 (4) 5, 2 and 8
[JEE Main 2013]
Vectors \(\vec {AB} = 3\hat i + 4\hat k\) and \(\vec {AC} = 5\hat i – 2\hat j + 4\hat k\)
If the vectors 
and 
are the sides of a triangle ABC, then the length of the median through A is:
(1) 
(2) 
(3) 
(4) 
[JEE Main 2013]