A charge q moving with velocity \( \vec{v} \) in a magnetic field \( \vec{B} \) experiences a force \( \vec{F} \). Which pair of quantities are mutually perpendicular?
A. \( \vec{F} \) & \( \vec{v} \)
B. \( \vec{F} \) & \( \vec{B} \)
C. \( \vec{v} \) & \( \vec{B} \)
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Positively charged particles are projected into a magnetic field. If the direction of magnetic field is along the direction of motion of the charged particles, the particles will experience

A parallel beam of monochromatic light of wavelength 900 nm passes through a long slit of width 0.4 mm. The angular divergence in which most of the light is diffracted, is:

A point charge is kept at the centre of a metallic insulated spherical shell. Then :

Which of the following statements are correct?
(A) Electrostatic lines of force may be curved or straight in an electric field.
(B) Number of lines of force per unit perpendicular area represents the intensity of the electric field at the point.
(C) Two electric field lines can not intersect each other.
(D) Electric field lines are directed from negative to positive charge for an electric dipole.
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Match List-I with List-II

List-I (Electronic Device)	List-II (Function)
(A) Stabilizer	(I) Used to convert a.c. voltage into d.c. voltage
(B) Filter	(II) Used either for stepping up or stepping down the a.c. voltage
(C) Rectifier	(III) Used for constant output voltage even when the input voltage or load current changes
(D) Transformer	(IV) Used to remove any ripple in the rectified output voltage

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A spherical conductor placed in vacuum has capacitance of \( 3.14 \times 10^{-9} \, \text{F} \). Its radius will be:

Which of the following statements are true for the minimum deviation position of a prism?
(A). The angle of the prism is twice the angle of refraction.
(B). The refracted ray is parallel to the base of prism.
(C). The angle of incidence is equal to the angle of emergence.
(D). The angle of deviation is half the angle of a prism.
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We use microbes and microbially derived products almost every day. Bacteria called lactic acid bacteria (LAB) grow in milk to convert it into curd. The dough, which is used to make bread, is fermented by yeast called Saccharomyces cerevisiae. Microbes are used to produce industrial products like lactic acid, acetic acid and alcohol, which are used in a variety of processes in the industry. However, certain bacteria, which grow anaerobically on cellulosic material, produce large amount of methane along with CO2 and H2. These bacteria are collectively called methanogens, and one such common bacterium is Methanobacterium. These bacteria are commonly found in the anaerobic sludge during sewage treatment. Microbes are also used for commercial and industrial production of certain chemicals like organic acids, alcohols and enzymes.
Examples of acid producers are Aspergillus niger (a fungus) of citric acid. You are familiar with the commonly used antibiotic Penicillin. Do you know that Penicillin was the first antibiotic to be discovered, and it was a chance discovery? Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol.
Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by:

Which of the following reaction occurs at anode during discharging of lead storage battery?

Which one of the following is a sequence of mRNA?

A company purchased a machine for ₹ 15,00,000 and its effective life is estimated to be 10 years. A sinking fund is created for replacing the machine at the end of its effective life when its scrap value is ₹ \(2,42,000\). What amount company should provide at the end of every year out of profits for the sinking fund if it accumulates an interest of \(5 \%\) per annum? [Given: \((1.05)^{10}=1.629\)]

A freshly prepared radioactive sample of half life 1 hour emits radiations that are 128 times as intense as the permissible safe limit. What is the minimum time after which the sample can be safely used?