Two spheres of masses \(M_1\) and \(M_2\) are in air separated by a distance of d m. The gravitational force of attraction between them is F. If the space around the masses is filled with a liquid of density \(\rho\), the force between the masses will be

Four metal conductors having different shapes a sphere, cylindrical, pear, lightning conductor are mounted on insulating stands and charge(d) The one which is best suited to retain the charges for a longer time is

A cell of emf 5 V and negligible internal resistance is connected across a conducting wire of cross-sectional area \(2 \mathrm{~mm}^2\). If the electron density in the wire is \(5 \times 10^{28}\) and the drift velocity of the electrons is \(0.125 \mathrm{mms}^{-1}\) then the resistance offered by the wire is:

A straight wire carrying current of 21 A is bent into an arc of radius 11 cm as shown below. The magnetic field produced by the current at the centre \(O\) of the arc is:

If units of mass, length and gravitational constant are chosen to fundamental units, the dimensions of time would be

The percentage increase in magnetic field \(\mathrm{B}\) when the space within a current carrying solenoid is filled with a medium of susceptibility 0.004 is

A particle is projected at an angle \(30^{\circ}\) with horizontal having kinetic energy \(K\). The kinetic energy of the particle at highest point is.

The energy of an electron in the ground state of Hydrogen atom is \(-2.18 \times 10^{-18} \mathrm{~J}\). What would be the energy associated with the second excited state of \(\mathrm{Li}\) ?

The segment of DNA which acts as the instruction manual for the synthesis of the protein is

Match the IUPAC names in Column II with the correct structures given in Column I.

	Structures of compounds.		IUPAC name
A		P	1-Bromomethyl-3-(2,2-dimethylpropyl)benzene
B		Q	1-Bromo-4-(1-methylethyl)benzene
C		R	1-Bromo-2-(1-methylpropyl)benzene
D		S	1-Bromo-4-(2-methylpropyl)benzene

\(\int_0^2\left|x^2+2 x-3\right| d x \text { is equal to }\)

Which of the following is most stable?

Match the reactions in Column I with the correct products given in Column II:
\(\begin{array}{|l|l|l|l|} \hline \text{S.N.} & \text{Column I} & \text{S.No.} & \text{Column II} \\ \hline \text{A} & 1- \text{Chloropropane} + (\mathrm{Zn} / \mathrm{HCl}) \rightarrow & \text{P} & \text{Propanone + Methanal} \\ \hline \text{B} & n- \text{Hexane + (anh.} \left.\mathrm{AlCl}_3 / \mathrm{HCl}_{(\mathrm{g})}\right) \rightarrow & \text{Q} & \text{Propanone} \\ \hline \text{C} & 2- \text{Methylpropene} + ( \left.\mathrm{O}_3 ~\&~ \mathrm{Zn} / \mathrm{H}_2 \mathrm{O}\right) \rightarrow & \text{R} & \text{Propane} \\ \hline \text{D} & \text{Propyne} +\left(\mathrm{HgSO}_4 / \mathrm{H}_2 \mathrm{SO}_4\right. at 333 K) \rightarrow & \text{S} & \text{2-Methylpentane + 3-Methylpentane} \\ \hline \end{array}\)