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Maths

by SRINATH G -

 

1)) Let z=x+iy be a complex nos where x and y are integers. then the area of the rectangle whose vertices are the roots of the equation z(zbar3) + (zbar)z3= 350 is.............

i) 48       ii)32         iii)40           iv)80  

 

2)) The solution set of f'(x)>g'(x) where f(x)= (1/2)52x+1 and g(x)=5x+4xlog5 is.........

i) (1,infinity)     ii) (0,1)       iii) [0,infinity)     iv) (0,infinity)

  

Kinematics(projectile motion)

by Shria Goel -
The maximum height attained by a projectile is increased by 10% by increasing its speed of projection, without changing the angle of projection.The percentage increase in the horizontal range will be
(a)20%  (b)15% (c)10%  (d)5%

What is the n factor for the following reactions :

by Pritam Thakur -

What is the n factor for the following reactions :?

1) 2FeCl3 ---> 2FeCl2 + Cl2
2) 2NaOH + Br2 ---> NaBr + NaOBr + H2O

A STRANGE FACT

by 123iitjee.com Support -

The post is made by Mohit Khandelwal .

WE KNOW THAT d/dx of x2 is 2x.

now consider this

x2 = x+x+x+x+x+x+x+x+x+x+x+............(x times)

if we now differentiate it with respect to x then we get

d/dx(x2) = 1+1+1+1+1+1+1+1+1+1+1+1+...........(x times)

             = x

          x = 2x

           1= 2

how is it possible??

Maths- Ellipse

by Utkarsh Dubey -

ABCD is a convex quadrilateral and the diagnols intersect at P.Consider an ellipse E1 passing through P with A & B as foci and ellipse E2 with C & D as foci.Prove that E1 and E2 touch each other.

Please Help!

Atomic Structure

by Vinay Arya -
Q.1.A beam of electrons accelerated with 4.64 V was passed through a tube having mercury vapours .As a result of absorption,electronic changes occured with mercury atoms and light was emitted.If the full energy of the single electron ws converted into light ,what was the wave number of emitted light.

Q.2.The binding energy of an electron in the ground state of an atom is equal to 24.6eV.Find the enegry required to remove both electrons from the atom.