The electric potential due to an electric dipole
(A) depends on r, where r is the magnitude of position vector \( \vec{r} \)
(B) depends on the angle between the position vector \( \vec{r} \) and the dipole moment vector \( \vec{p} \)
(C) falls off at long distances, as \( 1/r^2 \)
(D) does not depend upon the distance separating the charges
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The force between two small charged spheres having charges of \( 2 \times 10^{-7} \, \text{C} \) and \( 3 \times 10^{-7} \, \text{C} \), respectively, placed 30 cm apart in air would be.

Assume an electric field \( \vec{E} = 30x \, \hat{i} \) exists in space. If \( V_0 \) is the potential at the origin and \( V_A \) is the potential at \( x = 2 \) m, then the potential difference \( V_A - V_0 \) is:

Match List I with List II

LIST I (Devices)	LIST II (Working Priciple)
A. Transformer	I. Wheatstone Bridge
B. Meter Bridge	II. Electromagnetic Induction
C. Moving Coil Galvanometer	III. Mutual Induction
D. A.C Generator	IV. Torque on a current carrying coil

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Accelerated charges radiate electromagnetic waves. Choose the correct key features of electromagnetic waves from the following:
(A) The electric field is always parallel to the magnetic field.
(B) The electric and magnetic fields are always normal to the direction in which the wave is travelling.
(C) The electric and magnetic fields sometimes vary sinusoidally.
(D) The electric and magnetic fields vary with the same frequency.
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The linear charge density of an infinite line charge producing a uniform electric field of \(9 \times 10^6 N / C\) at a distance of 2 cm is :
(Take permittivity of vacuum \(\epsilon_0=8.85 \times 10^{-12} C ^2 N^{-1} m^{-2}\) )

The work done by the field of a nucleus in a complete circular orbit of the electron is

Primary Endosperm Nucleus is the product of :

Manganese ions on reaction with peroxydisulphate ions form :

Paleontological evidence for evolution refers to.

In the systematic study of the photoelectric effect experiment, the stopping potential depends (for a given metal):

Benzene ring in phenol is expected to give the characteristic substitution or replacement reactions i.e. halogenation, nitration, sulphonation, alkylation etc. In these reactions, the attacking reagent is electrophile. The phenolic group activates the ortho and para positions in the ring due to conjugation. Disubstitution reactions are quite fast as the electron density in the ring has increased considerably. Phenols do not respond to nucleophilic substitution reactions as it is influenced by phenolic group.
Secondary alcohol among the following is:

(A)

(B) \(H _2 C = CH _2- CH _2 OH\)

(C) \(H _3 C - CH _2- CH _2 OH\)
(D)
(E)

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The intensity ratio of the two interfering beams of light is \( \beta \). The value of \( \left[ \frac{I_{\text{max}} - I_{\text{min}}}{I_{\text{max}} + I_{\text{min}}} \right] \) is