List of practice Questions

Two polaroids $A$ and $B$ are placed with their polaroid axes $30^{\circ}$ to each other as shown in the figure. A plane polarized light passes through the polaroid $A$ and after passing through it, intensity of light becomes $I_0$.What is the intensity of finally transmitted light after passing through the polaroid $B$ ?

The unit of evolution is

The Lewis acidity of $BF_3$ is less than $BCl_3$ even though fluorine is more electronegative than chlorine. It is due to

In $OF_2$, oxygen has hybridization of

In a cymose type of inflorescence, the growth of the main axis terminates in a:

Hemichordates have close affinities with which of the following phylum:

Gametophyte of Pteridophyte is called:

If function $f(x) = \begin{cases} x\, \sin\left(\frac{1}{x} \right) ; & \text{x $\ne$ 0} \\[2ex] a \,;& \text{x = 0} \end{cases}$ is continuous at $x = 0$, then value of $a$ is

The tangents to curve $y=x^{3}-2x^2+x-2$ which are parallel to straight line $y = x$ are

The Solution of the differential equation $\left(x+2y^{3}\right) \frac{dy}{dx}=y$ is

Two vectors $A = 3$ and $B = 4$ are perpendicular. Resultant of both these vectors is $R$. The projection of the vector $B$ on the vector $R$ is

Value of the following expression is $\displaystyle \lim_{n \to \infty}$$\frac{1}{n^{3}}\left(1^{2}+2^{2}+3^{2}+ ..... +n^{2}\right)$

A normal is drawn at a point $(x_1, y_1)$ of the parabola $y^2 = 16x$ and this normal makes equal angle with both $x$ and $y$ axes. Then point $(x_1, y_1)$ is

Four men and three women are standing in a line for railway ticket. The probability of standing them in alternate manner is

The Solution of the differential equation $\frac{dy}{dx}=2e^{x-y}+x^{2}e^{-y}$ is

Dicondylic skull is the characteristic feature of

Azotobacter and Beijerinckia are the examples of:

An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius $2R$ at point $A$ and radius $R$ at point $B$ farther along the flow direction. If the velocity of the fluid at point $A$ is $V$, its velocity at the point $B$ will be

Friedel - Craft reaction is not related with :

The decreasing order of electron affinity is:

Which one is not the property of crystalline soild ?

The isomerism exhibited by following compounds $[Co(NH_3)_6][Cr(CN)_6]$ and $[Cr(NH_3)_6][Cr(CN)_6]$ is

Transition state $2\, (TS2)$ is structurally most likely as:

Which of the following compounds contain at least one secondary alcohol?

The value of cos $15^{\circ}\, cos 7 \frac{1^{\circ}}{2}\, sin 7 \frac{1^{\circ}}{2}$ is