From the binding energy per nucleon versus mass number curve :
(A) B.E/nucleon is small for light nuclei like \( {}_{1}^{1}H, {}_{1}^{2}H, {}_{1}^{3}H \)
(B) B.E/nucleon decreases in heavy nuclei making them less stable stab.
(C) When two light nuclei combine to form heavy nucleus, energy is absorbed.
(D) Heavy nucleus splits into lighter nuclei which results in liberation of energy.
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In the depletion layer of a reverse biased p-n junction, the :

At a place, the vertical component of Earth's magnetic field is \(\sqrt{3}\) times its horizontal component. If the total intensity of Earth's magnetic field at the place is 0.4 G, then the horizontal component of Earth's magnetic field is:

A 16 \( \Omega \) wire is bent to form a square loop. A cell of 9 V is connected across one of its sides. The potential difference between the diagonals of the square loop is :

A monochromatic visible light consists of

A metal foil of thickness (3/4)d is introduced between two plates of a capacitor of capacitance C. The distance between the plates of the capacitor is d. The new capacitance of the capacitor will be

A radio wave of wavelength 300 m can be transmitted by a transmission center. A condenser of capacity \( 2.5 \mu F \) is available. The inductance of the required coil at resonance is
(Given: \( \pi^2 = 10 \))

Osmotic pressure of solution formed by mixing 50 ml of 0.2 M urea and 50 ml of 0.4 M glucose aqueous solution at 298 K will be : (\(R = 0.083\text{ L atm K}^{-1}\text{ mol}^{-1}\))

A diver at a depth of 1.2 m in clear water (n = 4/3) sees the sky in a cone of semi-vertical angle :

If the potential difference across a capacitor is changed from 12 V to 24 V, the work done is W. How much work will be done if the potential difference is changed from 24 V to 48 V?

Let the determinant be \(\Delta=\left|\begin{array}{ccc}x & \sin \theta & \cos \theta \\ -\sin \theta & -x & 1 \\ \cos \theta & 1 & x\end{array}\right|\)
Which of the following statements are correct ?
(A) \(\Delta\) is independent of \(\theta\)
(B) \(\Delta\) is independent of \(x\)
(C) \(\Delta\) is independent of \(\theta\) and \(x\) both and is equal to 1
(D) \(\Delta\) depends upon both of \(x\) and \(\theta\)
(E) \(\Delta\) is independent of \(\theta\) and is equal to \(x^3\)
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Read the passage carefully and answer the Questions
Molar conductivity \(\Lambda_m^0\)of a solution at a given concentration (c) is the conductance of volume, V of solution, containing one mole of electrolyte kept between the two electrodes with area of cross-section A and at a distance of unit length. It increases with the decrease in concentration and when the concentration approaches zero, the molar conductivity is called limiting molar conductivity \(\Lambda_m^0\) . For a strong electrolyte, \(\Lambda_m\) increases linearly with dilution and is given by \(\Lambda_m=\Lambda_m^0-A c^{1 / 2}\). The value of the constant A for a given solvent depends on the type of electrolyte along with temperature. According to Kohlrausch law, they value of \(\Lambda_m^0\) for an electrolyte is \(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), where \(\nu_{+}\)and \(\nu_{-}\) are the number of cations and anions, respectively, per molecule of the electrolyte and \(\lambda_{+}^0\) and \(\lambda_{-}^0\) are limiting molar conductivities of cation and anion, respectively. Kohlrausch law finds many applications, like determining the solubility of a sparingly soluble salt, determining the degree of dissociation \(\left(\Lambda_m / \Lambda_m^0\right)\), and the dissociation constant of a weak electrolyte.
If the molar conductance values of Ca²⁺ and Cl^- at infinite dilution are, respectively, 118.8 × 10^-4 ohm^-1 m² mol^-1 and 77.33 × 10^-4 ohm^-1 m² mol^-1, then the molar conductance of CaCl₂ at infinite dilution will be :

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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