A square loop is placed near a long straight current carrying wire as shown in figure. If the loop is moved away from the wire

Match List-I with List-II

List-I	List-II
(A) Electric Field	(I) [ LTA ]
(B) Electric Flux	(II) \( [ L^2 ] \)
(C) Electric Dipole Moment	(III) \( [ M L T^{-3} A^{-1} ] \)
(D) Area Vector Element	(IV) \( [ M L^3 T^{-3} A^{-1} ] \)

Choose the correct answer from the options given below :

When temperature of a ferromagnetic material is increased by 20%, what is the percentage change in it's magnetic susceptibility?

Identify the correct statements among the following.
(A) The wavefront for a point source of light is in a spherical shape, rays are all radial from the point source,
(B) All the points on a cylindrical wavefront vibrate in the same phase,
(C) A set of straight lines perpendicular to a wavefront are called rays of light. Light energy does not flow along these lines.
(D) Every point of a given wavefront acts as a fresh source of a secondary wavelet
Choose the correct answer from the options given below:

Monochromatic lights of wavelengths 620 nm and 626 nm, respectively are used to study diffraction at a single slit of aperture 0.7 mm. The distance between the slit and the screen is 1.8 m. The separation between the positions of the first maxima of the diffraction pattern obtained in the two cases is

The angle of minimum deviation of an equilateral prism is equal to its refracting angle. The refractive index of the material of the prism is :

A circuit containing a \( 80 \text{ mH} \) inductor and a \( 60 \mu\text{F} \) capacitor in series is connected to a \( 200 \text{ V, 50 Hz} \) supply. The resistance of the circuit is negligible. The average power (average over one cycle) transferred to capacitor is:

What is the IUPAC name of the following compound?

The electric field E associated with an electromagnetic wave is given by \( E = E_0 \sin(kx - \omega t) \). The speed of the wave is

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is four. The probability that it is actually four is :

Solution of the differential equation \(\frac{d y}{d x}=1+x+y+x y\) are :

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:

If A is a square matrix such that \(A^2=A\), then \(|A|\) equals :