If a proton is brought towards an electron from infinity, the potential energy of the system will

A proton moving with a constant velocity passes through a region without any change in its velocity. Then in this region :

Which of the following statements are true?
(A) Rheostat can be used both as a variable resistance and a potential divider.
(B) An electrical circuit is functional only if all the components of the circuit are connected in proper order, assuming that all circuit components/ devices are in working condition and key is closed.
(C) An open circuit means a break in some part of a circuit which could be deliberate such as a key in open position or a fault such as broken wire or burnt out component(s) or loose connection.
(D) Rheostat as a potential divider gives variable resistance.
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A cylindrical, straight long wire having radius 'a' is carrying current 'I' uniformly distributed inside the wire. As per Ampere's circuital law, the magnetic field inside the wire at any distance r, (r < a) is given by:

The primary voltage and primary current of a transformer are 220 V and 10 A. The ratio of the number of turns on the secondary coil to the number of turns on the primary coil is 2:1. The values of voltage and current at the output are

The binding energy per nucleon is 1.1 MeV for \({ }_1^2 H\) and 7.0 MeV for \({ }_2^4 He\). The energy released in the given fusion reaction will be:
\({ }_1^2 H+{ }_1^2 H \rightarrow{ }_2^4 He\)

Two parallel plate capacitors, X and Y, have the same area of plates and the same separation between them. They are connected in series across a 12 V battery. X has air between the plates while Y contains a dielectric medium of dielectric constant 4. The ratio of electrostatic energy stored in X and Y is

Match List-I with List-II

List-I	List-II
(A) AC generator	(I) Michael Faraday
(B) Polarity of induced emf	(II) Foucault
(C) Electromagnetic Induction	(III) Nicola Tesla
(D) Eddy Current	(IV) Heinrich Friedrich Lenz

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The equation of perpendicular from the point \((1,0,1)\) to the plane \(x-y+z=4\) is

Human activities have accelerated rate of species extinction in the world. The major cause for it are
A. Habitat loss and defragmentation
B. Habitat loss and fragmentation
C. Over-exploitation
D. Alien species invasions
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The hormone releasing IUDs function by:

Which of the following reactions has a positive \(\Delta S^{\circ}\) value?

Arrange the following compounds in increasing order of their acidity:
(A) Phenol
(B) Ethanol
(C) Benzoic acid
(D) p-Nitrobenzoic acid
Choose the correct answer from the options given below: