\( \alpha, \beta \) and \( \gamma \) rays emitted by a radioactive substance are allowed to pass through a region containing a magnetic field at right angles to their path. The energy gained will be

Two spheres of silver of same radii, one solid and the other hollow are charged to the same potential, then :

A magnetic needle has magnetic moment of \( 5 \times 10^{-2} \, \text{Am}^2 \) and Moment of inertia \( 12 \times 10^{-6} \, \text{Kg m}^2 \). It performs 60 oscillations in 1 minute when suspended in a magnetic field. What is the magnitude of the magnetic field ?

A dentist has a small mirror of focal length \(1 . 6 ~ c m\). He observes the cavity in the tooth of a patient by holding the mirror at a distance of 8 mm . from the cavity. The magnification is:

Three charges Q, +2q and +2q are placed at the vertices of an equilateral triangle. If the net electrostatic potential energy of the system is zero, then Q is equal to

Which of the following statements is not correct for electromagnetic induction?

The speed of electromagnetic waves in a material medium is given by (symbols have their usual meanings):

The given figure shows two magnetized needles and a magnet P with their magnetic moments, shown with the arrow sign. Which of the following statements are correct in respect of this configuration?

(A) \(Q_1\) is in stable equilibrium
(B) \(Q_2\) is in unstable equilibrium
(C) \(Q_1\) is in unstable equilibrium
(D) \(Q_2\) is in stable equilibrium
Choose the correct answer from the options given below:

Match List-I with List-II

List-I ( Matrix A )	List-II ( Determinant of adj A )
(A) \(\left[\begin{array}{cc}2 & 1 \\0 & -1\end{array}\right]\)	(I) 6
(B) \(\left[\begin{array}{cc}0 & 1 \\4 & -1\end{array}\right]\)	(II) 5
(C) \(\left[\begin{array}{cc}1 & 2 \\-3 & -1\end{array}\right]\)	(III) \(-4\)
(D) \(\left[\begin{array}{cc}4 & -2 \\3 & 0\end{array}\right]\)	(IV) \(-2\)

Choose the correct answer from the options given below :

Read the following passage carefully and answer the given questions.
Plasmodium, a tiny protozoan is responsible for the disease malaria. 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. Innate immunity consist of four types of barriers. These are – (i) Physical barriers- skin on our body is the main barrier which prevents entry of the micro-organisms. (ii) Physiological barriers- Acid in the stomach, saliva in the mouth, tears from eyes-all prevent microbial growth. (iii) Cellular barriers- 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. (iv) Cytokine barriers- virus-infected cells secrete proteins called interferons which protect non-infected cells from further viral infection. Allergy is due to the release of chemicals like histamine and serotonin from the mast cells. 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.
Which one of the followings is not the example of cellular barrier?

Match List I with List - II.

List - I	List - II
(A) L.C. Oscillation	(I) Inductor supplied with AC
(B) \( Q = \frac{\omega_o L}{R} \)	(II) \( \frac{d^2q}{dt^2} + \frac{1}{LC}q = 0 \)
(C) Voltage leads current	(III) \( \frac{i_p}{i_s} = \frac{V_s}{V_p} \)
(D) Transformer	(IV) Sharpness of resonance curve

Choose the correct answer from the options given below :

Match List - I with List - II.

List - I	List - II
(A) Mutualism	(I) Abingdon tortoise in Galapagos island and goat
(B) Commensalism	(II) Crow and Cuckoo
(C) Brood Parasitism	(III) Sea anemone and Clown fish
(D) Competition	(IV) Lichen

Choose the correct answer from the options given below :

Interference was observed in a chamber where air was present. Now, the chamber is evacuated and the same light is used. A careful observer will note :