The current \(I_{1}\) (in \(A\)) flowing through \(1\; \Omega\) resistor in the following circuit is:

A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet will

The equivalent resistance between \(A\) and \(B\) is \(......\)

A wire of resistance \(R\) and radius \(r\) is stretched till its radius became \(r / 2\). If new resistance of the stretched wire is \(xR\), then value of \(x\) is _______.

Two satellites \(A\) and \(B\) of masses \(200\, kg\) and \(400\, kg\) are revolving round the earth at height of \(600\, km\) and \(1600\, km\) respectively. If \(T _{ A }\) and \(T _{ B }\) are the time periods of \(A\) and \(B\) respectively then the value of \(T _{ B }- T _{ A }\) [Given : radius of earth \(=6400\, km\), mass of earth \(=6 \times 10^{24}\, kg\) ]

A moving coil galvanometer has \(100\) turns and each turn has an area of \(2.0 \mathrm{~cm}^2\). The magnetic field produced by the magnet is \(0.01 \mathrm{~T}\) and the deflection in the coil is \(0.05\) radian when a current of \(10 \mathrm{~mA}\) is passed through it. The torsional constant of the suspension wire is \(\mathrm{x} \times 10^{-5} \mathrm{~N}-\mathrm{m} / \mathrm{rad}\). The value of \(\mathrm{x}\) is _______.

Taking the wavelength of first Balmer line in hydrogen spectrum (\( n = 3\) to \(n = 2\) ) as \(660\,nm ,\) the wavelength of the \(2^{nd}\) Balmer line ( \(n =4\) to \(n = 2\) ) will be....\(nm\)

Match List\(-I\) with List\(-II:\)

List\(-I\)	List\(-II\)
\((A)\) \(3\) Translational degrees of freedom	\((I)\) Monoatomic gases
\((B)\) \(3\) Translational,\(2\) rotational degrees of freedoms	\((II)\) Polyatomic gases
\((C)\) \(3\) Translational,\(2\) rotational and \(1\) vibrational degrees of freedom	\((III)\) Rigid diatomic gases
\((D)\) \(3\) Translational,\(3\) rotational and more than one vibrational degrees of freedom	\((IV)\) Nonrigid diatomic gases

Choose the correct answer from the options given below:

Consider the nuclear fission \(Ne^{20} \to 2He^4 + C^{12}\) .Given that the binding energy / nucleon of \(Ne^{20}, He^4\) and \(C^{12}\) are, respectively, \(8.03\, MeV\), \(7.07\, MeV\), and \(7.86\, MeV\), identify the correct statement