Each resistor shown in figure has a resistance of \( 20 \, \Omega \) and the battery has an emf of 12 V. The current supplied by the battery is

Identify the incorrect statement(s) from the following in the context of an electric current flowing through a conductor.
(A) The electrons suffer collisions with heavy fixed ions in the conductor
(B) The resistance of the given conductor depends on its temperature
(C) Resistance and resistivity both depend on the dimensions of the conductor
(D) When a potential difference V is applied across the conductor then V= IR
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Two parallel long wires carry currents, \( i_1 \) and \( i_2 \) with \( i_1 > i_2 \). When the currents are in same direction, the magnetic field at a point midway between them is \( 10 \mu \text{T} \). If the direction of \( i_2 \) is reversed, the field becomes \( 30 \mu \text{T} \). The ratio of \( i_1/i_2 \) is:

In a potentiometre, the balanced point is obtained when :

A beam of electrons move horizontally from South to North in the region of the magnetic field acting vertically downward. The force acting on the electron due to the magnetic field is :

An object of length 2.0 cm is placed at a distance of 1.5 f from a concave mirror where f is the magnitude of the focal length of the mirror. The length of the object is perpendicular to the principal axis. The length of the image will be

Two nuclei have mass numbers in the ratio 1:8. The ratio of their nuclear radii would be :

Read the passage carefully and answer the Questions
Haloalkanes undergo nucelophilic substitution reactions owing to the polarity of CX bond. The nucleophile reacts with the haloalkane on the carbon possessing a partial positive charge holding the halogen atom. The halogen atom \(X\) is replaced by a nucleophile. Depending on the kinetics and mode of bond breaking, the mechanism can be either SN1 or SN2 reaction. The rate of SN1 reaction is governed by the stability of carbocation and in SN2 reaction, the rate of reaction is governed by steric factor. Chirality is the main factor in both SN1and SN2. In SN1 reaction, the chirality of alkyl halide is accompanied by racemization of the product, while in SN2 reaction, the product is characterized by inversion of configuration. The structure of alkyl halide and the nature of the solvent also governs the mechanism of the substitution.
Which of the following compound will undergo \(S_N 1\) reaction readily?

For transmitting a modulated signal of wave length \( \lambda \), the antenna should have minimum size:

A 200 turns closely wound circular coil of radius 10 cm carries a current of 3.5 A. The magnetic moment of the coil is

Using the given information, calculate the mass defect of the \({ }_8^{16} O\) nucleus in \(MeV / c ^2\).
Mass of electron, \(m_e=0.00055 u\)
Mass of proton, \(m_p=1.00727 u\)
Mass of neutron, \(m_n=1.00866 u\)
Experimental mass of nucleus \(=15.99053 u\)
\(1 u=931.5 MeV / c^2\)
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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 maximum value of \(f(x)=\left(\frac{1}{x}\right)^x\) is