List of top Questions asked in JEE Advanced- 2006

$\xrightarrow{Cl_2,hv\, \, }N(isomeric\, products) C_5 H_{11} Cl$ $\xrightarrow{\, \, Fractional\, distillation \, }M(isomeric\, products)$ What are N and M?

$ MgSO_4 $ on reaction with $ NH_4OH $ and $ Na_2HPO_4 $ forms a white crystalline precipitate. What is its formula?

$MgSO_4$ on reaction with $NH_4 OH $ and $ Na_2 HPO_4$ forms a white crystalline precipitate. What is its formula?

A solid sphere of radius R has moment of inertia I about its geometrical axis. It is melted into a disc of radius r and thickness t. If it's moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to I, then the value of r is equal to

Which of the following statement is (are) correct in the given figure ?

A solid sphere is in pure rolling motion on an inclined surface having inclination $?$

A double star system consists of two stars A and B which have time periods $T_ A $ and $T_B $ . Radius $ R_A $ and $ R_B $ and mass $ M_A $ and $M_B $ . Choose the correct option

If $e_1$ is the eccentricity of the ellipse $\frac {x^2}{16}+\frac{y^2}{25}=1$ and $e_2$ is the eccentricity of the hyperbola passing through the foci of the ellipse and $e_1e_2=1$ then equation of the hyperbola is

The graph between object distance u and image distance v for a lens is given below. The focal length of the lens is

If $2A+3B =\begin{bmatrix} {2}&{-1} &{4}\\ {3}&{2}& {5} \\ \end{bmatrix} $ and $A+2B \begin{bmatrix} {5}&{0} &{3}\\ {1}&{6}& {2} \\ \end{bmatrix} $then $B =$

Which of the following rays can be polarised?