Which of the following statements are correct?
(A) Magnetic susceptibility is defined as ratio of Intensity of magnetisation to magnetic field intensity.
(B) Magnetic susceptibility is a ratio of similar quantities therefore has no unit.
(C) The value of magnetic susceptibility for vacuum is one.
(D) Greater is the value of intensity of magnetisation, smaller is the value of susceptibility.
(E) Smaller is the value of magnetic field intensity, smaller is value of susceptibility.
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The electric field vector of a plane electromagnetic wave oscillates sinusoidally at a frequency of \(4.5 \times 10^{10} \text{ Hz}\) in a medium with permittivity \(\epsilon_0\) and permeability \(\mu_0\). The wavelength of the wave is

Two parallel plate capacitors of capacitances \(2 \, \mu\text{F}\) and \(3 \, \mu\text{F}\) are joined in series and connected to a battery of V volts. The values of potential across the two capacitors \(V_1\) and \(V_2\) and energy stored in them \(U_1\) and \(U_2\) are related as :

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

When a light of wavelength 150 nm is incident on silver surface a potential of 3.58 V is required to stop the photoelectrons from reaching the collector plate. Find the potential required to stop photoelectrons when a light of wavelength 200 nm is incident on it ?
(Work function of silver is 4.7 eV)

Choose the correct statements from the following:
A. Displacement current is due to time varying magnetic field.
B. The frequency of the electromagnetic wave naturally equals the frequency of oscillation of the charge.
C. Light carries energy from the Sun to the Earth.
D. Electromagnetic wave does not exert pressure.
E. Electromagnetic wave contains both electric and magnetic field.
Choose the correct answer from the options given below:

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

The function \(f(x)=2 x^3-3 x^2-12 x+4\) has:
(A) two points of local maxima.
(B) two points of local minima.
(C) one local maxima and one local minima.
(D) no local maxima or local minima.

The value of \(\frac{9}{4} \sin ^{-1}\left(\frac{2 \sqrt{2}}{3}\right)+\frac{9}{4} \sin ^{-1}\left(\frac{1}{3}\right)\) is :

A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be

The impact parameter for an \(\alpha\)-particle approaching a target nucleus is minimum when the scattering angle \(\theta\) is

Read the following paragraph and answer the given questions.
Cancer detection is based on biopsy and histopathological studies. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Do you know why mother's milk is considered very essential for the new-born infant? The yellowish fluid colostrum secreted by mother during the initial days of lactation has abundant antibodies (IgA) to protect the infant. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal. The exaggerated response of the immune system to certain antigens present in the environment is called allergy. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused. Morphine is a very effective sedative and painkiller, and is very useful in patients who have undergone surgery.
A pregnant female is advised not to discard the yellowish fluid called colostrum, secreted during the initial days of lactation, because it is rich in:

The pattern and behavior of the data in any time series are based on which of the following components:
(A) Secular trend component
(B) Seasonal component
(C) Cyclical component
(D) Irregular component
Choose the correct answer from the options given below :