Match List-I with List-II

List-I (Electromagnetic Waves)	List-II (Production)
(A) Radio waves	(I) Vibration of atoms and molecules
(B) X-rays	(II) originates from an atomic nucleus
(C) \( \gamma \)-radiation	(III) produced by accelerating electrons in a circuit
(D) infrared waves	(IV) emitted from heavy atoms

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The focal length of a thin lens in vacuum is f. If the material of the lens has refractive index \( \frac{3}{2} \), its focal length when immersed in water of refractive index \( \frac{4}{3} \) would be :

Resistance R1 is with 10 \(\Omega\) resistance in series and is in the first gap of meter bridge with R2 in the second gap. The balance point is at 50 cm. When the 10 \(\Omega\) resistance is removed then the balance point shifts to 40 cm. What is the value of R1?

The distance between a luminous object and the screen is 60 cm. A convex lens placed in between produces a three times magnified image on the screen. The focal length of the convex lens is:

Find the equivalent capacitance between the points A and B.

Match List I with List II

LIST-I	LIST-II
A. Polariser	I. Myopia
B. Convex lens	II. Communication
C. Concave lens	III. Simple Microscope
D. Optical fibre	IV. Sunglasses

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A change of current from 6.0 A to 3.0 A in 300 ms in a coil produces an induced emf of 0.5 V in the neighboring coil. The mutual inductance between the two coils would be

Match List-I with List-II

List-I (Differential Equation)	List-II (Order and Degree)
(A) \(\left(\frac{d^2 y}{d x^2}\right)^2-e^x\left(\frac{d y}{d x}\right)^4+1=0\)	(I) order \(=1\) and degree \(=2\)
(B) \(\left(\frac{d y}{d x}\right)^2+x y=0\)	(II) order \(=2\) and degree \(=1\)
(C) \(\left(1+\frac{d y}{d x}\right)^{3 / 2}=4\left(\frac{d^2 y}{d x^2}\right)^2\)	(III) order \(=2\) and degree \(=2\)
(D) \(\sqrt{\frac{d^2 y}{d x^2}}+1=\frac{d y}{d x}\)	(IV) order \(=2\) and degree \(=4\)

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Answer the question on the basis of passage given below :
Formaldehyde is the first member of the aldehydic series. It is present in green leaves of plants where its presence is supposed to be due to the reaction of \(CO_2\) with water in the presence of sunlight and chlorophyll. Commercially, formaldehyde is obtained by the controlled oxidation of methane in the presence of molybdenum oxide (\(MoO\)) acting as a catalyst. Formaldehyde is a constituent of a number of polymers also called resins. These are non volatile solids or semi solids which are obtained directly from certain plants and can be synthesized in the laboratory.
Match List I with List II

LIST I	LIST II
A. Bakelite formaldehyde resin	I. Condensation polymers
B. Melamine formaldehyde resin	II. Phenol and formaldehyde
C. Urea formaldehyde resin	III. Melamine and formaldehyde
D. Bakelite \(\&\) Melamine formaldehyde resin	IV. Unbreakable cups and laminated sheets

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Identify the enzyme that is used to clarify fruit juices before bottling.

In a n type silicon, which of the following statement is true ?

If \(A=\left[\begin{array}{ccc}2 & 1 & -1 \\ 0 & 1 & 2 \\ 2 & -1 & \lambda\end{array}\right]\) is a singular matrix, then the value of \(\lambda\) is:

Which of the following is a hormonal method of contraception?