Under which of the following conditions the power delivered by the source of circuit will be maximum

An electric dipole consists of charges \( \pm 2 \times 10^{-6} \, \text{C} \), separated by a distance of 2 mm. It is placed on the right side near a long line charge of density \( 4 \times 10^{-4} \, \text{C m}^{-1} \). The negative charge of dipole is at a distance of 2 cm from the line charge as shown in figure. A positive charge (+2q) is placed on the left at 2 cm at point C. Given \( q = 2 \times 10^{-8} \, \text{C} \).

(A) Force \( |F_A| \) exerted on negative charge at point A due to line charge
(B) Force \( |F_B| \) exerted on positive charge at point B due to line charge
(C) Net force on the dipole \( |F_{net}| \) due to line charge
(D) Force \( |F_C| \) exerted on charge +2q at point C due to line charge
If the forces \( |F_A|, |F_B|, |F_C|, |F_{net}| \) are arranged in decreasing order, then:
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A ray incident at 50° on one refracting surface of a prism of angle 60°, suffers a deviation of 40°. The angle of emergence is:

An ideal battery of 6 V and resistance R are connected in series in the primary circuit of a potentiometer of length 4 m and resistance \( 10 \Omega \). The value of R, to give a potential difference of 10 mV across 20 cm of potentiometer wire is:

Two concentric coils, each of radius \( 2\pi \, \text{cm} \), are placed at right angles to each other. Currents of 3 A and 4 A respectively are flowing through the two coils. The magnetic induction at the center of the coils will be:

The frequency of a photon whose energy is 66.3 eV would be
(Given \( h = 6.63 \times 10^{-34} \text{ Js} \))

The wavelength of emitted wave due to energy transition in hydrogen atom from n = 3 to n = 2 energy level will be

The wavelength of matter wave is independent of :

Write the correct sequence of events performed in DNA fingerprinting technique
A. Isolation of DNA
B. Separation of DNA fragments by electrophoresis
C. Digestion of DNA using restriction endonucleases.
D. Transfer of seperated DNA fragments to synthetic membrane
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Identify the correct statements from the following in the context of electromagnetic waves.
(A) X-rays are not electromagnetic waves.
(B) Electromagnetic waves are transverse in nature.
(C) Electromagnetic waves can not be polarised.
(D) Electromagnetic waves travel with the speed of light in vacuum.
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The rate of change of the area of a circle with respect to its radius r, when r = 3 cm is :

Which of the following show Pleiotropism?

Which of the following statement is NOT true, when two capacitors charged to different potential are connected in parallel by a conducting wire ?