List of practice Questions

If $z_1$ and $z_2$ be two non zero complex numbers such that $\frac{z_1 }{z_2 } + \frac{z_2}{z_1} = 1 $, then the origin and the points represented by $z_1$ and $z_2$

If Young?s double slit experiment is done with white light, which of the following statements will be true ?

Let $\vec{\alpha } = \hat{i} + \hat{j} + \hat{k} , \vec{\beta} = \hat{i} - \hat{j} - \hat{k}$ and $\vec{\gamma} = - \hat{i} + \hat{j} - \hat{k}$ be three vectors. A vector $\vec{\delta} $, in the plane of $\vec{\alpha}$ and $\vec{\beta}$, whose projection on $\vec{\gamma}$ is $\frac{1}{\sqrt{3}}$, is given by

On the set $R$ of real numbers, the relation $\rho$ is defined by $x \rho y, (x, y) \in R$

If $\int \, f(x) \, \sin \, x \, \cos \, x \, dx = \frac{1}{2(b^2 - a^2)} \log f(x) + c$, where c is the constant of integration , then f(x) =

The approximate value of $\sin \, 31^{\circ}$ is

The value of $\displaystyle\lim_{n \to \infty} \frac{1}{n} \left\{ \sec^2 \frac{\pi}{4 n} + \sec^2 \frac{2 \pi }{4n} + ..... \sec^2 \frac{n \pi}{4n} \right\}$ is

Which is least thermally stable?

The ease of hydrolysis in the compounds $CH _{3} COCl ( I ), CH _{3}- CO - O - COCH _{3}( II )$ $CH _{3} COOC _{2} H _{5}( III )$ and $CH _{3} CONH _{2}( IV )$ is of the order

The main reason the $SiCl_4$ is easily hydrolysed as compared to $CCl_4$ is that

One mole of a mono-atomic ideal gas undergoes a quasi-static process, which is depicted by a straight line joining points $(V_0, T_0)$ and $(2V_0, 3T_0)$ in a $V-T$ diagram. What is the value of the heat capacity of the gas at the point $(V_0, T_0)$ ?

Which one is a synthetic Auxin:

Match the items given in Column I with those in Column II and select the correct option given below:

A tuning fork is used to produce resonance in glass tube. The length of the air column in the tube can be adjusted by a variable piston, A room temperature of $27^{\circ} C$ two successive resonances are produced at $20\, cm$ and $73\, cm$ column length. If the frequency of the tuning for is $320\, Hz$, the velocity of sound in air at $27^{\circ} C$

Which part of poppy plant is used to obtain the drug "Smack" ?

Which of the following is not an autoimmune disease ?

The force of repulsion between two identical positive charges when kept with a separation 'r' in air is 'F' Half the gap between the two charges is filled by a dielectric slab of dielectric constant = 4. Then the new force of repulsion between those two charges becomes

Which of the following arrangements shows the schematic alignment of magnetic moments of antiferromagnetic substance ?

Adam's apple is also called _____

In the circuit shown, inputs $A$ and $B$ are in states ?$1$? and ?$0$? respectively. What is the possible stable state of the outputs ?$X$? and ?$Y$? ?

During replication of retrovirus

Among the following, the branched chain polymer is

A 100 W bulb is connected to an AC source of 220 V, 50 Hz. Then the current flowing through the bulb is

A charge q is accelerated through a potential difference V. It is then passed normally through a uniform magnetic field, where it moves in a circle of radius r. The potential difference required to move it in a circle of radius 2r is

The geometry and magnetic behaviour of the complex $[Ni(CO)_4]$ are