Which of the following complex is octahedral, diamagnetic and the most stable?

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

List\(-I\)	List\(-II\)
\((a)\) \(\mathrm{NaOH}\)	\((i)\) Acidic
\((b)\) \(\mathrm{Be}(\mathrm{OH})_{2}\)	\((ii)\) Basic
\((c)\) \(\mathrm{Ca}(\mathrm{OH})_{2}\)	\((iii)\) Amphoteric
\((d)\) \(\mathrm{B}(\mathrm{OH})_{3}\)
\((e)\) \(\mathrm{Al}(\mathrm{OH})_{3}\)

Choose the most appropriate answer from the option given below :

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter \(10^{-15} \mathrm{~m}\) is _______ \(\times 10^9 \mathrm{~ms}^{-1}\). (nearest integer) [Given : mass of electron \(=9.1 \times 10^{-31} \mathrm{~kg}\), Plank's constant \((\mathrm{h})=6.626 \times 10^{-34} \mathrm{JS}\) ] (Value of \(\pi=3.14\) )

In Dumas' method for estimation of nitrogen, 0.5 gram of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg pressure. The percentage composition of nitrogen in the compound (Aqueous tension at \(300 \mathrm{~K}=15 \mathrm{~mm} \mathrm{Hg})\) is _______.

Which of the given reactions is not an example of disproportionation reaction?

A system does \(200\,J\) of work and at the same time absorbs \(150 \,\mathrm{~J}\) of heat. The magnitude of the change in internal energy is \(.....\,J.\) (Nearest integer)

Consider the given chemical reaction : Product ' \(A\) ' is _______.

The number of solutions of the equation \(2 \theta-\cos ^{2} \theta+\sqrt{2}=0\) is \(R\) is equal to

If \( (\frac{1}{^{15}C_{0}}+\frac{1}{^{15}C_{1}})(\frac{1}{^{15}C_{1}}+\frac{1}{^{15}C_{2}})...(\frac{1}{^{15}C_{12}}+\frac{1}{^{15}C_{13}}) = \frac{a^{13}}{^{14}C_{0}^{14}C_{1}...^{14}C_{12}} \) then 30a is equal to :

\([ A ] Reactant \quad \rightarrow\) \([ B ]Product\) If formation of compound \([B]\) follows the first order of kinetics and after 70 minutes the concentration of \([ A ]\) was found to be half of its initial concentration. Then the rate constant of the reaction is \(x \times 10^{-6} s ^{-1}\). The value of \(x\) is \(......\) (Nearest Integer)

For extrinsic semiconductors; when doping level is increased;

Two blocks of masses \(m\) and \(M,(M \gt m)\), are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with the lower block. If the system is slightly displaced and released then
(\(\mu=\) coefficient of friction between the two blocks)

(A) The time period of small oscillation of the two blocks is \(\mathrm{T}=2 \pi \sqrt{\frac{(\mathrm{~m}+\mathrm{M})}{\mathrm{k}}}\)
(B) The acceleration of the blocks is \(\mathrm{a}=\frac{\mathrm{kx}}{\mathrm{M}+\mathrm{m}}\) (\(\mathrm{x}=\) displacement of the blocks from the mean position)
(C) The magnitude of the frictional force on the upper block is \(\frac{m \mu|x|}{M+m}\)
(D) The maximum amplitude of the upper block, if it does not slip, is \(\frac{\mu(M+m) g}{k}\)
(E) Maximum frictional force can be \(\mu(\mathrm{M}+\mathrm{m}) \mathrm{g}\).
Choose the correct answer from the options given below:

Number of molecules from the following which can exhibit hydrogen bonding is _______. (nearest integer)