The energy of a photon of wavelength \( \lambda \) is

An electric dipole of length 4 cm, when placed with its axis making an angle of \( 60^{\circ} \) with a uniform electric field, experiences a torque of \( 4\sqrt{3} \text{ N m} \). If the dipole has charges of \( \pm 8 \text{ nC} \), then the potential energy of the dipole in the electric field is:

An electric field in \(x-y\) plane is given by the equation \(\vec{E}=E_0 \hat{i} N / C\). A positively charged particle is given a velocity of \(5 \hat{j} m / s\) at point \(x=3, y=0\) in \(x-y\) plane. The particle will experience force :

A point charge is kept at the centre of a metallic insulated spherical shell. Then :

Match List-I with List-II

List-I	List-II
(A) Size of nucleus	(I) A-Z
(B) Number of proton in \( {}_ZX^A \)	(II) Z
(C) Size of atom	(III) \( 10^{-10} \) m
(D) Number of neutrons in \( {}_ZX^A \)	(IV) \( 10^{-15} \) m

Choose the correct answer from the options given below:

Match List-I with List-II

List-I	List-II
(A) Electric Field	(I) [ LTA ]
(B) Electric Flux	(II) \( [ L^2 ] \)
(C) Electric Dipole Moment	(III) \( [ M L T^{-3} A^{-1} ] \)
(D) Area Vector Element	(IV) \( [ M L^3 T^{-3} A^{-1} ] \)

Choose the correct answer from the options given below :

A battery of 24 V and internal resistance 2 \(\Omega\) is connected to a load (external resistance) R. The value of current so that power delivered to the load will be maximum, is

Match List I with List II

List I (Drug)	List ll (Plant)
(A) Morphine	(I) Tobacco
(B) Cannabinoids	(II) Erythroxylum coca
(C) Cocaine	(III) Papaver somniferum
(D) Nicotine	(IV) Cannabis sativa

Choose the correct answer from the options given below:

If the interval in which the function \(f(x)=\frac{x}{x^2+1}\) is strictly increasing is \((-a, a)\), then \(a\) is equal to

Read the passage carefully and answer the questions
Alcohols and phenols are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively is replaced by - OH group. These are further classified on the basis of number of hydroxy groups and according to the hybridization of the carbon atom \(sp ^2\) or \(sp ^3\) to which the -OH group is attached. They find applications in industry as well as in day-to-day life. One of the most commercially obtained alcohol also known as wood spirit is obtained by destructive distillation of wood. Both alcohols and phenols are acidic in nature. The acidity of alcohols and phenols vary according to the nature of substituent(s) attached to them. Alcohols and phenols react with carboxylic acids, acid chlorides and acid anhydrides to form esters. Introduction of acetyl group in alcohols and phenols is called acetylation. Phenol undergo electrophilic aromatic substitution reaction because the -OH activates the benzene ring. It undergoes nitration, halogenation and sulphonation reactions.
Identiify the strongest acidic compound

There are two conductor X and Y of the same material, having length l and 4l, and radii r and r/4 respectively. The ratio of their resistivity is :

What is the correct Nernst equation for the following cell?
Zn(s)|Zn²⁺||Ag⁺|Ag(s)

Answer the question on basis of passage given below :
Molecular nitrogen is very little reactive chemically. During lightning discharge, atmospheric nitrogen and oxygen combines to form nitric oxide which also combines with oxygen to form nitrogen dioxide. Both NO and \(NO _2\) constitute smog which is very poisonous. It can cause burning sensation in the eyes and adversely affect respiratory system.
What are the constituents of photo chemical smog ?