Match List - I with List - II.

List - I	List - II
(A) Resolving power of an astronomical telescope	(I) \( 1.22\lambda/D \)
(B) Limit of resolution of an astronomical telescope	(II) \( \mu \sin \theta \)
(C) Numerical aperture	(III) \( D/1.22\lambda \)
(D) Fresnel distance	(IV) \( a^2/\lambda \)

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Which of the following examples are based upon the total internal reflection of light?
(A) Optical fibre
(B) Twinkling of stars
(C) Mirage
(D) Sparkling of diamond
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The current and power dissipation in an inductor coil are 2 A and 200 W, respectively.
When connected to an alternating source of 220 V, 50 Hz. The resistance and inductance of the coil are (take \( \pi^2 = 10 \)):

The time required for a 50 Hz alternating current to reach the peak value starting from zero

Under the influence of a uniform magnetic field, a charged particle moves with a constant speed \( v \) in a circle of radius \( r \). The time period of the revolution of the particle :

Match List-I with List-II

List-I	List-II
A. Impedance of a series LCR circuit at resonance	(I) Voltage across L and C are 180 degree out of phase
B. For a series LC Circuit	(II) Current in L and C are 180 degree out of phase
C. For a parallel LC circuit	(III) Minimum
D. Reactance of a capacitor in a DC circuit	(IV) Infinite

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A point source S is placed at a distance of 12 cm from a converging lens of focal length 10 cm on its principal axis. Where should a diverging mirror of focal length 14 cm be placed from the lens so that a real image is formed on the source itself?

50,000 different strains of rice are example of:

Kohlrausch's Law helps to find:

Aldol condensation reaction is not given by :

Which of the following are correct about equated monthly installments (EMI)?
(A) The EMI depends on principal borrowed, rate of interest and tenure of the loan.
(B) It is a fixed amount made by borrower to the lender every month.
(C) The interest remains constant for every EMI in reducing balance method.
(D) As we pay off our loan, the outstanding principal amount decreases with every EMI in reducing balance method.
Choose the correct answer from the options given below :

'Barnacles' growing on the back of whale is a classical example of :

Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered.
The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction.
The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(=k[A]^x[B]^y\)
Here \(k\) is the rate constant
\(x+y\) gives the overall order of a reaction, whereas \(x\) and \(y\) represent the order with respect to the reactants \(A\) and \(B\), respectively.
The order of a reaction which does not exist is