A tetrapeptide " \(x\) " on complete hydrolysis produced glycine (Gly), alanine (Ala), valine (Val), leucine (Leu) in equimolar proportion each. The number of tetrapeptides (sequences) possible involving each of these amino acids is _______.

Phenol on reaction with dilute nitric acid, gives two products. Which method will be most effective for large scale separation ?

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

List \(I\) (Natural amino acid)	List \(II\) (Code)
\(A\) Glutamic acid	\(I\) \(Q\)
\(B\) Glutamine	\(II\) \(W\)
\(C\) Tyrosine	\(III\) \(E\)
\(D\) Tryptophan	\(IV\) \(Y\)

The compound \('A'\) is a complementary base of in \(DNA\) stands.

Which of the following has the shortest \(C-Cl\) bond?

The increasing order of boiling points of the following compounds is :

A volume of \(x mL\) of \(5 M NaHCO _3\) solution was mixed with 10 mL of \(2 M H _2 CO _3\) solution to make an electrolytic buffer. If the same buffer was used in the following electrochemical cell to record a cell potential of 235.3 mV , then the value of \(x =\)__________ mL (nearest integer).
\(Sn ( s )\left| Sn ( OH )_6^{2-}(0.5 M )\right| HSnO _2^{-}(0.05 M ) \mid OH ^{-} \left| Bi _2 O _3(s)\right| Bi ( s )\)
Consider upto one place of decimal for intermediate calculations
\(\left[\begin{array}{ll}\text { Given : } & E _{ HSnO _2^{-} \mid Sn ( OH )_6^{2-}}^{ o }=-0.9 V \\ & E _{ Bi _2 O _3 \mid Bi }^{ o }=-0.44 V \\ & pKa _{\left( H _2 CO _3\right)}=6.11 \\ & \frac{2.303 RT }{ F }=0.059 V \\ &\operatorname{Antilog}(1.29)=19.5\end{array}\right]\)

Let \(\mathrm{y}=\mathrm{y}(\mathrm{x})\) be a solution of the differential equation, \(\sqrt{1-\mathrm{x}^{2}} \frac{\mathrm{dy}}{\mathrm{dx}}+\sqrt{1-\mathrm{y}^{2}}=0,|\mathrm{x}|<1\) If \(\mathrm{y}\left(\frac{1}{2}\right)=\frac{\sqrt{3}}{2},\) then \(\mathrm{y}\left(\frac{-1}{\sqrt{2}}\right)\) is equal to

The term independent of \(x\) in the expansion of \(\left(\frac{(x+1)}{\left(x^{2 / 3}+1-x^{1 / 3}\right)}-\frac{(x+1)}{\left(x-x^{1 / 2}\right)}\right)^{10}, x\gt1\) is:

Let \([x]\) denote the greatest integer less than or equal to \(x\). Then the domain of \(f(x)=\sec ^{-1}(2[x]+1)\) is :

A fly wheel having mass 3 kg and radius 5 m is free to rotate about a horizontal axis. A string having negligible mass is wound around the wheel and the loose end of the string is connected to a 3 kg mass. The mass is kept at rest initially and released. Kinetic energy of the wheel when the mass descends by 3 m is ___________ J. (\(g=10~m/s^{2}\))

A sonometer wire oflength \(1.5\ m\) is made of steel. The tension in it produces an elastic strain of \(1 \%\). What is the fundamental frequency of steel if density and elasticity of steel are \(7.7 \times 10^3 \) \(kg/m^3\) and \(2.2 \times 10^{11}\) \(N/m^2\) respectively?

Given below are two statements:
Statement I: In Lassaigne's test, the covalent organic molecules are transformed into ionic compounds.
Statement II: The sodium fusion extract of an organic compound having N and S gives prussian blue colour with \(\mathrm{FeSO}_4\) and \(\mathrm{Na}_4\left[\mathrm{Fe}(\mathrm{CN})_6\right]\)
In the light of the above statements, choose the correct answer from the options given below.