The radius of the arc BD representing a wire is 60 cm. The magnitude of the magnetic field produced at centre C, if a current of 3.0 A flows in the wire, will be:

The refractive index of a glass prism is minimum for

A nucleus with mass number 240 and binding energy per nucleon 7.6 MeV splits into two fragments each of mass number 120 with binding energy per nucleon 8.5 MeV. The amount of energy released in this process will be :

The relation below correctly represents the frequency of light emitted when an electron in a hydrogen atom jumps from a higher \( (n_i) \) energy level to \( (n_f) \) a lower energy level: \( \nu = Rc \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \). Predict the values of \( n_i, n_f \), respectively for the Paschen series, which will give the highest wavelength in the series

When an intrinsic semi conductor is doped with an acceptor impurity :
(A) The hole concentration increases
(B) The conductivity of semiconductor decreases
(C) The electron concentration increases
(D) The energy gap decreases
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Which of the following is a transducer in communication system.

When a positive charge (+ q) is brought near one face of a metal cube, the

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 \(\left(\Lambda_m\right)\) 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 \(\left(\Lambda_m^0\right)\). 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, the 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.
The plot between \(\Lambda_m\) and \(c^{1 / 2}\) is a straight line with

In some organisms, male has ZZ chromosomes and female has ZW chromosomes. This type of sex-determination is found in:

Type of RNA which does not exist is

The similarities between sickle-cell anaemia and thalassemia are:
(A) Both are autosome linked recessive disease
(B) Both are blood related disorder
(C) Parents of the offsprings are carriers
(D) Both are controlled by same genes
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Which of the following functions are increasing on \(x \in\left(0, \frac{\pi}{2}\right)\) ?
(A) \(f(x)=\sin x\)
(B) \(f(x)=\cos x\)
(C) \(f(x)=\tan x\)
(D) \(f(x)=\cos 3 x\)
Choose the correct answer from the options given below :