The maximum covalency and highest oxidation state possible for an element with \(Z=13\) are respectively.

Which of the following has \(\mathrm{S}-\mathrm{S}\) bond?

At \(300 \mathrm{~K}, 6 \mathrm{~g}\) of urea was dissolved in 500 mL of water. What is the osmotic pressure (in atm) of resultant solution?
\(\begin{aligned}
& \left(R=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right) \\
& (\mathrm{C}=12 ; \mathrm{N}=14 ; O=16 ; \mathrm{H}=1)
\end{aligned}\)

A golf ball of mass '\(m\)' has a speed of \(50 \mathrm{~ms}^{-1}\), If the speed can be measured within accuracy of \(2 \%\), the uncertainty in the position is

Identify the statement which is not correct from the following.
(i) Carbohydrates are stored as glycogen in animals.
(ii) In glycylalanine,

of peptide bond belongs to alanine.
(iii) Base - sugar- phosphate unit is known as nucleoside
(iv) Obesity is due to hypothyroidism.
The correct answer is

Which of the following sequences is the correct order of the size of species?

Match the following.

The general formula of a \(\alpha\) - amino acid is

Identify - \(\mathrm{R}\) in serine

A uniform metal bar of length \(10 \mathrm{~m}\) with a crack at its midpoint is clamped between two rigid supports. The bar buckles upward due to temperature rise of \(40^{\circ} \mathrm{C}\). If the coefficient of linear expansion of the metal is \(2.5 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1}\), the maximum displacement of the mid-point of the bar is

Let \(\overrightarrow{\mathbf{a}}=a_1 \hat{\mathbf{i}}+a_2 \hat{\mathbf{j}}+a_3 \hat{\mathbf{k}}\)
Assertion (A) : The identity
\(|\overrightarrow{\mathbf{a}} \times \hat{\mathbf{i}}|^2+|\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}}|^2+|\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}}|^2=2|\overrightarrow{\mathbf{a}}|^2\) holds for
\(\vec{a}\).
Reason (R) : \(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{i}}=a_3 \hat{\mathbf{j}}-a_2 \hat{\mathbf{k}}\),
\(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}}=a_1 \hat{\mathbf{k}}-a_3 \hat{\mathbf{i}}, \overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}}=a_2 \hat{\mathbf{i}}-a_1 \hat{\mathbf{j}}\)
Which of the following is correct?

A soap bubble of radius \(r\) is blown up to form a bubble of radius \(2 r\) under isothermal conditions. If \(T\) is the surface tension of soap solution, the energy spent in the blowing

\[
\int \sqrt{1+2 \cot x(\cot x+\operatorname{cosec} x)} d x=
\]

Charge on the outer sphere is $q$ and the inner sphere is grounded. The charge on the inner sphere is $q^{\text{'}}$, for $\left(r_2>r_1\right)$. Then