A gun is used to fire a bullet at an angle of \(30^{\circ}\) and at \(60^{\circ}\) respectively. The ratios of heights and Ranges reached by the bullet are

Which logic gate is represented by the following combination of logic gates?

Select the correct statement from the following:

The average kinetic energy of a molecule in air at room temperature of \(20^{\circ} \mathrm{C}\)

A tangent galvanometer has a reduction factor of \(1 \mathrm{~A}\) and it is placed with the plane of its coil perpendicular to the magnetic meridian. The deflection produced when a current of \(I A\) is passed through it is

A small metallic sphere carrying a charge \(2 \times 10^{-6} C\) is suspended using a thin thread of negligible mass from a rigid support, in a horizontal electric filed \(5 \times 10^4 \mathrm{Vm}^{-1}\). If the thread is making an angle \(30^0\) with the vertical, What is the tension in the thread?

Which state of triply ionised Beryllium \(\left(\mathrm{Be}^{+++}\right)\) has the same orbital radius as that of the ground state of hydrogen?

A \(50\ \Omega\) galvanometer is shunted by a resistance of \(S\Omega\). If 8% of total current passes through the galvanometer, the value of S is:

If \(f(x+y)=f(x) f(y)\) for all \(x\) and \(y\) and \(f(5)=2, f^{\prime}(0)=3\), then \(f^{\prime}(5)\) is

A motor bike is moving with a speed of \(36 \mathrm{~km} / \mathrm{h}\) along a straight road. The radius of its wheel and its moment of inertia about the axis of rotation are 40 cm and \(5 \mathrm{~kg} \mathrm{~m}^2\) respectively. What is the magnitude of the torque applied by the brake to the wheel so as to stop the bike in 10 s?

Match \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and D with the appropriate functions given.
\(\begin{array}{|l|l|l|l|} \hline & \text { Column I } & & \text { Functions } \\ \hline \text { A } & \text { Oxidoreductase } & \text { P } & \text { Malfunctioning leads to Addison's disease. } \\ \hline \text { B } & \text { Phosphodiester bonds } & \text { Q } & \text { Regulates responses to external stimuli. } \\ \hline \text { C } & \text { Adrenal cortex } & \text { R } & \text { Catalyses glycolysis. } \\ \hline \text { D } & \text { Epinephrine. } & \text { S } & \text { Links nucleotides together. } \\ \hline \end{array}\)

From the given covalent compounds (A to F) identify the pair of molecules which have:
(i) Two lone pairs of electrons on the central atom.
(ii) One lone pair of electrons on the central atom.
A. \(\mathrm{SO}_2\)
B. \(\mathrm{ClF}_3\)
C. \(\mathrm{BF}_3\)
D. \(\mathrm{BrF}_5\)
E. \(\mathrm{XeF}_4\)
F. \(\mathrm{SF}_6\)

If \(\frac{x^{2}}{36}-\frac{y^{2}}{k^{2}}=1\) is a hyperbola, then which of the following statements can be true?