A cell supplies a current of 0.6 A through a 3 \( \Omega \) resistor and a current of 0.2 A through a 10 \( \Omega \) resistor. The internal resistance of the cell is :

In a n type silicon, which of the following statement is true ?

The sensitivity of a moving coil galvanometer can be increased by decreasing

The frequency band of FM broadcast is -

What will be the minimum length of antenna required to transmit a radio signal of frequency 10 MHz ?

A short bar magnet placed with its axis at \(30^\circ\) with a uniform external magnetic field of 0.24 T experiences a torque of magnitude 0.048 N m. The magnetic moment of the magnet is

A radio wave of wavelength 300 m can be transmitted by a transmission center. A condenser of capacity \( 2.5 \mu F \) is available. The inductance of the required coil at resonance is
(Given: \( \pi^2 = 10 \))

Read the given passage carefully and answer the questions
Antibiotics have greatly improved our capacity to treat deadly diseases such as plague, whooping cough (kali khansi), diphtheria (gal ghotu) and leprosy (kusht rog), which used to kill millions all over the globe.
Streptokinase produced by the bacterium Streptococcus and modified by genetic engineering is used as a 'clot buster' for removing clots from the blood vessels of patients who have undergone myocardial infarction leading to heart attack. Microbes are diverse-protozoa, bacteria, fungi and microscopic animal and plant viruses, viroids and also prions that are proteinacious infectious agents. The puffed-up appearance of dough is due to the production of CO₂ gas. Similarly the dough, which is used for making bread, is fermented using baker's yeast (Saccharomyces cerevisiae). Primary sewage treatment basically involve physical removal of particles - large and small from the sewage through filtration and sedimentation. These are removed in stages; initially, floating debris is removed by sequential filtration. Then the grit (soil and small pebbles) are removed by sedimentation. All solids that settle form the primary sludge, and the supernatant forms the effluent. The effluent from the primary settling tank is taken for secondary treatment. The primary effluent is passed into large aeration tanks, where it is constantly agitated mechanically and air is pumped into it. This allows vigorous growth of useful aerobic microbes into flocs. While growing, these microbes consume the major part of the organic matter in the effluent.
Prions are made up of :

Which type of isomerism is shown by the complex compounds?
\(\left[ Co \left( NH _3\right)_5 Br \right] SO _4\) and \(\left[ Co \left( NH _3\right)_3 SO _4\right]\)Br

A motor has an armature resistance \( 4 \, \Omega \). It is operating on 220 V. At its full speed, it develops a back emf of 200 V. The current in the armature when the motor is switched on will be :

Match List-I with List-II

List-I  (Type of solution)	List-II  (Examples)
(A) Gas in liquid	(I) Brass
(B) liquid in liquid	(II) Benzene in Toluene
(C) liquid in solid	(III) Aerated drinks
(D) solid in solid	(IV) Mercury in gold

Choose the correct answer from the options given below:

The value of the determinant \(\left|\begin{array}{lll}1 & x & y+z \\ 1 & y & z+x \\ 1 & z & x+y\end{array}\right|\) is :

The mean number of heads in two tosses of a coin is: