In a hydrogen atom an electron makes a transition from \( n_1 \rightarrow n_2 \), where \( n_1 \) and \( n_2 \) are the principal quantum numbers of the two states. Assuming Bohr's model to be valid, if the time period of the electron in the initial state is eight times that in the final state, the possible values of \( n_1 \) and \( n_2 \) are:

Match List-I with List-II

List-I	List-II
A. Reactance	(I) LCR Circuit
B. Inductance	(II) \(\frac{\rho l}{\pi r^2}\)
C. Capacitance	(III) \(\frac{\varepsilon_0 A}{d}\)
D. Impedance	(IV) \(\frac{\mu_0 N^2 A}{L}\)

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In order to fabricate n-type semiconductor, the impurity elements used are

Self-inductance of a solenoid is

What type of wavefront will emerge from a (i) distant light source and (ii) point source?

The angular momentum of an electron in the third orbit of a hydrogen atom is (Given \( h = 6.6 \times 10^{-34} \text{ J s} \))

A wire is stretched to increase its length by 4 times. The resistance of the wire will :

Identify the product 'X' in the following reaction:
\(C_2H_5COONa\ \xrightarrow[\text{Heat}]{NaOH+CaO}\ X+ Na_2CO_3\)

"Match List-l with List-ll

List-l (Terms)	List-II (Features)
(A). Amniocentesis	(I). Maternal mortality rate
(B). MMR	(II). Surgical method of contraception
(C). Periodic abstinence	(III). Process to test genetic disorders in foetus
(D). Vasectomy	(IV). Natural method of contraception

Choose the correct answer from the options given below: "

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The transition metals and their compounds are known for their catalytic activity. This activity is ascribed to their ability to adopt multiple oxidation states and to form complexes. Vanadium(V) oxide (in Contact Process), finely divided iron, and nickel (in Catalytic Hydrogenation) are some of the examples. Catalysts at a solid surface involve the formation of bonds between reactant molecules and atoms of the surface of the catalyst (first row transition metals utilise 3d and 4s electrons for bonding). This has the effect of increasing the concentration of the reactants at the catalyst surface and also weakening of the bonds in the reacting molecules (the activation energy is lowering). Also because the transition metal ions can change their oxidation states, they become more effective as catalysts.
Which of the following is incorrect about the ability of catalytic action of transition metals?

A charity organization has a fund of Rs. 2, 00, 000 to provide annual grants to students. The grant amount each year is Rs. 15, 000. The fund earns an interest rate of r% per annum. If the interest earned is used entirely to provide the grants, then the annual interest rate r is:

Which of the following country has the highest biodiversity?

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A homogeneous mixture of two or more than two components has uniform composition and properties. The binary solutions have two components, which may be solid, liquid or gas. The resultant solution has a larger amount of solvent and a smaller amount of solute. The amount of solute in a given amount of solvent decides the concentration of the resulting solution. The concentration can be expressed in various ways, like molarity, molality, normality and mole fraction.
Which of the following property is independent of temperature?