Which of the following conclusions could not be derived from Rutherford's $\alpha$-particle scattering experiment:

Which hormone tends to increase the blood glucose level in human?

IUPAC names of mesityl oxide and oxalic acid are respectively

Match the item given in Column-I (method used for determining colligative property) and Column-II (for the corresponding colligative property) and find the correct order.
\(\begin{array}{|c|c|c|}
\hline & \text { Column I } & \text { Column II } \\
\hline \text { A. } & \text { Beckmann method } & \text { 1. Osmotic pressure } \\
\hline \text { B. } & \begin{array}{l}
\text { Ostwald-Walker method }
\end{array} & \text { 2. Elevation in B.P } \\
\hline \text { C. } & \begin{array}{l}
\text { Berkeley-Hartley method }
\end{array} & \text { 3. Depression in F.P. } \\
\hline \text { D. } & \text { Landsberger method } & \begin{array}{l}
\text { 4. Relative lowering of vapour pressure }
\end{array} \\
\hline
\end{array}\)

In a first order reaction, the concentration of the reactant decrease from \(0.6 \mathrm{M}\) to \(0.3 \mathrm{M}\) in \(15 \mathrm{~min}\). The time taken for the concentration to change from \(0.1 \mathrm{M}\) to \(0.025 \mathrm{M}\) in minutes is

Identify the correct statements from the following
I) Isotopes of an element show different chemical behaviour
II) Lyman series of lines of hydrogen spectrum appear in UV region
III) The oscillating electric and magnetic field components of electromagnetic radiation are perpendicular to each other and both are perpendicular to the direction of propagation of radiation

Which of the following orders is not correct for the given property ?

If 3 vectors \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are such that \(\mathbf{a} \neq \mathbf{0}\) and \(\mathbf{a} \times \mathbf{b}=2(\mathbf{a} \times \mathbf{c}),|\mathbf{a}|=1,|\mathbf{c}|=1,|\mathbf{b}|=4\) and angle between \(\mathbf{b}\) and \(\mathbf{c}\) is \(\cos ^{-1}\left(\frac{1}{4}\right)\) and \(\mathbf{b}-2 \mathbf{c}=\lambda \mathbf{a}\), then \(\lambda=\)

A bullet of mass \(30 \mathrm{~g}\) moving with \(700 \mathrm{~ms}^{-1}\) collides with a block of mass \(4 \mathrm{~kg}\) hanging by a string of length \(0.4 \mathrm{~m}\). After collision, the block rises to a height of \(0.2 \mathrm{~m}\). Then, find the velocity of the bullet when it comes out of the block.

When graphite is subjected to an electric arc in the presence of inert atmosphere, it gives

Three parallel plate capacitors of capacitances \(4 \mu \mathrm{~F}\), \(6 \mu \mathrm{~F}\) and \(12 \mu \mathrm{~F}\) are first connected in series and then in parallel. The ratio of the effective capacitances in the two cases is

The radius of Earth is about \(6400 \mathrm{~km}\) and that of Mars is \(3200 \mathrm{~km}\), and mass of the Earth is about 10 times mass of Mars. An object weight \(200 \mathrm{~N}\) on the surface of Earth. Then, its weight on the surface of Mars will be

Among the following, the correctly matched pair is