Which of the following statements are correct:
A. In semiconductor diodes carriers are generated by photo-excitation.
B. When the photo diode is illuminated with light with energy (E) > Energy gap (Eg) of the semiconductor, then electron-holepairs are generated.
C. Photovoltaic devices convert electricity into optical radiation.
D. Photodiode can be used as a photodetector to detect optical signal.
E. Zener diode specification should be taken as per the required output voltage.
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In Young's double slit experiment using monochromatic light of wavelength \(\lambda\) the intensity of light at a point on the screen is 20 units, where the path difference is \(\lambda\). The intensity of light at a point having the path difference \(\lambda / 4\) is

If the angular velocity of coil in an AC generator is doubled while keeping other parameters constant, the maximum induced emf

A current I flows through an infinitely long, straight copper walled pipe. Then:

The electromagnetic radiation used to kill germs in water purifiers is

If \( n_h \) is the number of holes per unit volume and \( n_e \) is the number of conduction electrons per unit volume in an extrinsic semiconductor. The relation between \( n_h, n_e \) and \( n_i \) is (\( n_i \) is intrinsic carrier concentration):

A cube is placed at the origin as shown in the figure. The electric field in the region is given as \( \vec{E} = (200 x^2 \hat{i}) \frac{\text{N}}{\text{C}} \). The flux coming out of the cube is:

GM crops are better to grow because they :
(A) are more tolerant to abiotic stresses
(B) decrease efficiency of mineral usage
(C) are less reliant on chemical pesticides
(D) reduce post harvest losses"
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The factor(s) governing the flow of electricity through an electrolytic solution is/are
(A) The nature of inter-ionic attraction.
(B) Temperature
(C) Solvation of ions.
(D) The nature of solvent and its viscosity.
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Match List I with List II

List I	List II
(A) The primates which were more ape-like	(I) Dryopithecus
(B) Probably lived in East African grasslands	(II) Homo sapiens
(C) The primates which were more man-like	(III) Ramapithecus
(D) First human-like being, the hominid	(IV) Australopithecines
	(V) Homo habilis

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Read the passage carefully and answer the Questions
Molar conductivity \(\Lambda_m^0\)of a solution at a given concentration (c) is the conductance of volume, V of solution, containing one mole of electrolyte kept between the two electrodes with area of cross-section A and at a distance of unit length. It increases with the decrease in concentration and when the concentration approaches zero, the molar conductivity is called limiting molar conductivity \(\Lambda_m^0\) . For a strong electrolyte, \(\Lambda_m\) increases linearly with dilution and is given by \(\Lambda_m=\Lambda_m^0-A c^{1 / 2}\). The value of the constant A for a given solvent depends on the type of electrolyte along with temperature. According to Kohlrausch law, they value of \(\Lambda_m^0\) for an electrolyte is \(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), where \(\nu_{+}\)and \(\nu_{-}\) are the number of cations and anions, respectively, per molecule of the electrolyte and \(\lambda_{+}^0\) and \(\lambda_{-}^0\) are limiting molar conductivities of cation and anion, respectively. Kohlrausch law finds many applications, like determining the solubility of a sparingly soluble salt, determining the degree of dissociation \(\left(\Lambda_m / \Lambda_m^0\right)\), and the dissociation constant of a weak electrolyte.
If the molar conductance values of Ca²⁺ and Cl^- at infinite dilution are, respectively, 118.8 × 10^-4 ohm^-1 m² mol^-1 and 77.33 × 10^-4 ohm^-1 m² mol^-1, then the molar conductance of CaCl₂ at infinite dilution will be :

Which of the following inequalities holds true?
(A) \(\sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2}\).
(B) If \(a>b\) and \(c<0\), then \(\frac{a}{c}<\frac{b}{c}\).
(C) \(\frac{1}{x^2}>\frac{1}{x}>1\), if \(0<x<1\).
(D) If \(a\) and \(b\) are positive integers and \(\frac{a-b}{6.25}=\frac{4}{2.5}\), then \(b>a\).
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The area (in sq. units) of the region bounded by the curve \(x^2 = 250y, y = 0\) and \(x = 50\) is