What will be the momentum of a photon of energy 0.1 MeV in SI unit?

There are four capacitors: \( C_1, C_2, C_3 \) and \( C_4 \) with equal capacitance \( C_0 \).
(A) for capacitor \( C_1 \) area of the plates is doubled
(B) for capacitor \( C_2 \) distance between the plates is tripled
(C) the capacitor \( C_3 \) is filled completely with a material having dielectric constant K = 3
(D) for capacitor \( C_4 \) there is no change
If the capacitors are arranged in decreasing order of their capacitances, then choose the correct answer from the options given below:

The point charges \( 5 \times 10^{-11} \, \text{C} \) and \( -5 \times 10^{-11} \, \text{C} \) are placed along z-axis at z = 3 cm and z = -3 cm respectively. What will be the electric field intensity at a point (0, 4)

The fraction of tritium remains undecayed after 25 years, if its half life is 12.5 years will be:

A converging lens is used to form image on a screen. When the lower half of the lens is covered by an opaque screen then, the correct statements are :
(A) Intensity of Image will decrease.
(B) Intensity of Image will increase.
(C) Complete Image will be formed.
(D) Half the Image will disappear.

The electric potential at the centre of a square of side \(\sqrt{2} \, m\) having charges \(90 \, μC, - 60 \, μC, 30 \, μC\) and \(- 40 \, μC\) at the four corners of the square is:

A 15 cm wire carrying a current of 2 A is placed inside a current-carrying solenoid, perpendicular to its axis. The magnetic force acting on the wire is \( 20 \times 10^{-2} \text{ N} \). The magnetic field inside the solenoid 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.
The drug, which is very effective sedative and painkiller and useful for patients who have undergone surgery is -

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
Among the elements mentioned below, some are not stable in their +3 oxidation state and undergoes disproportionation reactions easily:
A. N
B. \(P\)
C. As
D. Sb
E. Bi
Choose the correct answer from the options given below:

The number of arbitrary constants in general solution of a differential equation of third order is :

A parallel plate capacitor with air between the plates has a capacitance of 9 pF. What will be the capacitance if the distance between the plates is reduced to half and the space between the plates is filled with a dielectric of dielectric constant 7?

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. 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. 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.
Malignant malaria is caused by -

Match List - I with List - II.

List - I	List - II
(A) Lamarck	(I) Natural selection
(B) Darwin	(II) Work on populations
(C) Thomas Malthus	(III) Mutation
(D) Hugo deVries	(IV) Use and disuse of organs

Choose the correct answer from the options given below: