The amount of urea required to make a 500 mL solution of 0.25 molarity is
(Molar mass of Urea \(=60 g mol ^{-1}\) )

Benzene ring in phenol is expected to give the characteristic substitution or replacement reactions i.e. halogenation, nitration, sulphonation, alkylation etc. In these reactions, the attacking reagent is electrophile. The phenolic group activates the ortho and para positions in the ring due to conjugation. Disubstitution reactions are quite fast as the electron density in the ring has increased considerably. Phenols do not respond to nucleophilic substitution reactions as it is influenced by phenolic group.

Read the passage carefully and answer the following questions
There are mainly four series of the transition metals, \(3 d\) series ( \(S c\) to Zn), \(4 d\) series (Y to Cd), 5d series (La and Hf to Hg) and 6d series which has \(A c\) and elements from Rf to Cn. The two series of the inner transition metals; \(4 f\) (Ce to Lu) and \(5 f\) (Th to Lr) are known as lanthanoids and actinoids respectively. Their chemical properties are transitional between those of \(s\) and p-block elements. The transition metals (with the exception of Zn, Cd and Hg) are very hard and have low volatility. Their melting and boiling points are high. Transition metals have incomplete d subshell either in neutral atom or in their ions. With partly filled d orbitals these elements exhibit certain characteristic properties such as display of a variety of oxidation states, formation of coloured ions and entering into complex formation with a variety of ligands. The transition metals and their compounds are known for their catalytic activity.
In series Sc to Zn, the lowest enthalpy of atomization is shown by

Salicylaldehyde is formed as a main product from phenol by :

Arrange the following compounds in increasing order of their reactivity towards HCN .




Choose the correct answer from the options given below:

Which of the following compound shows optical isomerism ?

Which of the following ionic species has the greatest proton affinity to form a stable compound?

Match \(List - I\) with \(List - II\)

\(List - I\)	\(List - II\)
(A) \(\frac{d}{d x}\left(\sin x^2\right)\)	(I) \(\frac{1}{5}\)
(B) \(\frac{d}{d x}\left(e^{\sin x}\right)\)	(II) 0
(C) \(f(x)=\tan ^{-1} x\) then \(f^{\prime}(2)\)	(III) \(2 x \cos x^2\)
(D) If \(y=3 \cos x-2 \sin x\), then \(\frac{d^2 y}{d x^2}+y\)	(IV) \(e^{\sin x} \cos x\)

For the function \(f(x)=e^x+e^{-x}\)
(A) \(f^{\prime}(x)=e^x-e^{-x}\)
(B) The critical point is \(x=0\)
(C) The minimum value is 1
(D) \(x=0\) is the point of local minimum.
Choose the correct answer from the options given below:

The plates of a parallel plate capacitor are separated by a distance d with air as medium between the plates. In order to increase its capacitance by 60%, a slab of dielectric constant 5 having the same area as that of plates is introduced between the plates. The thickness of the dielectric slab is :

In Faraday's experiment on Electromagnetic Induction, in which of the following situations, more deflection will be shown by the galvanometer?

The sum of the order and degree of the differential equation \(\frac{d^2 y}{d x^2}+\sqrt[3]{\frac{d y}{d x}}+(1+x)=0\) is :

Solution of the differential equation \(\log \left(\frac{d y}{d x}\right)=3 x+4 y\) given that y = 0 when x = 0 :