A point object is placed at a distance of 20 cm from a spherical lens of refractive index n=3/2 and the radius of curvature of each surface 10 cm. The distance of the image formed from the lens is

Choose the correct statements from the following :
(A) A dielectric develops a net dipole moment in the presence of an electric field.
(B) Electrostatic potential is constant throughout the volume of the conductor.
(C) Electric field \( \vec{E} \) depends upon the distance between two thin infinite long uniformly charged plane sheets held parallel to each other.
(D) Electric field due to a uniformly charged spherical shell is zero at all points inside the shell.
(E) Electric field is in the direction in which the potential decreases steepest.

The magnetic flux ( \(\Phi\) ) is:

A parallel plate capacitor with plates of area A, held a distance d apart, has a capacitance C. A thin silver foil of negligible thickness and the same area is inserted at mid-point between the plates. The capacitance becomes

The magnetic flux linked with a coil at any instant t is given by \( \Phi = (4t^3 - 3t^2 + 2t + 5) \text{ Wb} \). The emf induced in the coil at \( t = 3 \text{ s} \) is

The frequency band of FM broadcast is -

Identify the correct statements among the following.
(A) Inside a conductor, electrostatic field is non-zero
(B) Electrostatic potential is constant throughout the volume of the conductor and has the same value (as inside) on its surface
(C) In a conductor with a cavity, with no charges inside the cavity, the electric field inside the cavity is non-zero, whatever be the size and shape of the cavity
(D) At the surface of a charged conductor, electrostatic field must be normal to the surface at every point.
Choose correct answer from the options given below:

The arrangement of the nuclei in a normal embryo sac from the chalazal to micropylar end in dicots is -

Meiotic division taking place during oogenesis is an unequal division resulting in the formation of a:

Which one of the following compounds undergoes predominantly SN2 reaction with aqueous NaOH in polar aprotic solvent:

Identify the correct statement(s).
(A) In any lens, the optical centre is always at the centre of the lens.
(B) In a lens, if the curvature of its two surfaces is equal, the optical centre is at the centre of the lens.
(C) A light ray passing through the optical centre of a lens never shifts from the direction of the incident ray.
(D) A ray of light incident perpendicularly on a lens passes through its focus after refraction.
Choose the correct answer from the following given options.

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.
The drug, which is very effective sedative and painkiller and useful for patients who have undergone surgery is -

Ortho and Para nitrophenols can be separated by steam distillation. This is because