The wavelength of the de-Broglie wave associated with an electron accelerated through 150 V is:

Two point charges, +2 \( \mu \text{C} \) and -3 \( \mu \text{C} \), are separated by a distance of 20 cm in the air. At what point between the two charges and on the line joining the two charges is the electric potential zero?
(Take the potential at infinity to be zero)

Rainbow is a phenomenon due to the combined effect of
(A) Interference
(B) Dispersion
(C) Reflection
(D) Refraction
(E) Scattering
Choose the correct answer from the options given below:

The magnetic flux through a coil of resistance \( 6 \text{ } \Omega \), perpendicular to its plane, is varying according to \( \phi = 6t^3 + 5t^2 + 4t - 6 \text{ Wb} \). What will be the induced current through the coil at \( t = 2 \text{ s} \)?

Choose the correct statements regarding infra red waves from the following.
(A) Infra red waves produced by hot bodies and molecules.
(B) This radiation is trapped by greenhouse gases such as \( CO_2 \) and water vapour.
(C) These waves are used in earth satellites.
(D) Exposure to these radiation induces the production of more melanin.
(E) These radiations are used in eye surgery.
Choose the correct answer from the options given below :

At a place, the vertical component of Earth's magnetic field is \(\sqrt{3}\) times its horizontal component. If the total intensity of Earth's magnetic field at the place is 0.4 G, then the horizontal component of Earth's magnetic field is:

A sample of HCl gas is placed in an electric field of \(3 \times 10^4 \mathrm{~N} \mathrm{C}^{-1}\). The dipole moment of each HCl molecule is \(6 \times 10^{-30} \mathrm{C} \mathrm{m}\). The maximum torque that can act on this molecule is :

Read the passage carefully and answer
When a metal is placed in a solution of its ions, the metal can lose electron and can go in the solution as ion or the metal ion in the solution can take electron from the electrode and get deposited as metal. Thus, the electrode acquires either positive or negative charge with respect to the solution leading to the development of a potential difference between the metal electrode and the solution. This potential difference is called the electrode potential of the metal. The electrode potential of a metal is a measure of relative tendency to undergo oxidation (loss of electron) or reduction (gain of electron). When the concentration of the ions in the solution is unity, the electrode potential is called standard electrode potential. The magni of potential depends upon the nature of electrode, concentration of ions in solution and the temperature. In a galvanic cell, the electrode at which oxidation occurs is known as anodic half-cell and the electrode at which reduction occurs is known as cathodic half cell. The emf of the cell in terms of standard reduction potential is given by \(E_{\text {cell }}^{\circ}=E_{\text {cathode }}^{\circ}-E_{\text {anode. }}^{\circ}\).The standard free energy change of the redox reaction taking place in the cell is related to \(E_{\text {cell }}^{\circ}\) by \(\Delta G^{\circ}=-n F E^{\circ}\). A redox reaction would occur spontaneously if the free energy change is negative. The equilibrium constant of the reaction is related to the standard free energy change by \(\Delta G^{\circ}=-R T \ln K\).
The measured potential for
\(A g ^{+}+ e ^{-} \rightarrow A g ( s )\)
does not change with

Match List - I with List - II.

List - I (Name of microorganism)	List - II (Chemical)
(A) Aspergillus niger	(I) Citric acid
(B) Acetobacter aceti	(II) Acetic acid
(C) Clostridium butylicum	(III) Butyric acid
(D) Lactobacillus	(IV) Lactic acid

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
Among the elements mentioned below, some are not stable in their +3 oxidation state and undergoes disproportionation reactions easily:
A. N
B. \(P\)
C. As
D. Sb
E. Bi
Choose the correct answer from the options given below:

Match List - I with List - II.

List - I	List - II
(A) Aspergillus niger	(III) Citric acid
(B) Trichoderma polysporum	(I) Cyclosporin - A
(C) Lactobacillus	(IV) Lactic acid
(D) Saccharomyces cerevisiae	(II) Ethanol

Choose the correct answer from the options given below :

Match List I with List II

LIST I	LIST II
A. Buna-S	I. Polyamide
B. Nylon 6,6	II. Homopolymer
C. Polythene	III. Terepthalic acid,ethylene glycol
D. Terylene	IV. Copolymer

Choose the correct answer from the options given below:

If \(f(x)=\left\{\begin{array}{ll}\frac{\tan \left(\frac{\pi}{4}-x\right)}{\cot 2 x}, & x \neq \frac{\pi}{4} \\ k, & x=\frac{\pi}{4}\end{array}\right.\)
is continuous at \(x=\frac{\pi}{4}\), then the value of \(k\) is: