A storage battery of EMF 10 V and internal resistance 1 \( \Omega \) is being charged by a 120 V dc supply using a series resistor of 21 \( \Omega \). What is the terminal voltage of the battery during charging ?

A wire has a resistance of \( 2.1 \, \Omega \) at \( 25^\circ \text{C} \) and a resistance of \( 2.8 \, \Omega \) at \( 100^\circ \text{C} \). The temperature coefficient of the resistance is :

Two nuclei have mass numbers 125 and 27, respectively. The mass density ratio of their nuclei will be

An electron of mass \( 9.11 \times 10^{-31} \text{ kg} \) is moving with velocity \( 5.4 \times 10^6 \text{ m/s} \). Its momentum will be

Match List-I with List-II

List-I (Formula)	List-II (Physical Quantity)
(A) \( \epsilon = -L \frac{dI}{dt} \)	(I) Self inductance
(B) \( \epsilon = -M \frac{dI}{dt} \)	(II) Mutual inductance
(C) \( L = \frac{\Phi}{I} \)	(III) Mutual Induced emf
(D) \( M = \frac{\Phi}{I} \)	(IV) Self Induced emf

Choose the correct answer from the options given below:

Which of the following gives the correct expression for potential gradient in terms of the resistivity ( \(\rho\) ) of the wire?

A charged particle enters a uniform magnetic field at an angle of \(45 ^\circ\) with the field. The path along which the particle moves in the field will be

Microbes in human welfare Microbes are a very important component of life on earth. we use microbes and microbially derived products almost every day, like LAB to make curd, yeast to make bread, adding flavor and texture to cheese, producing antibiotics etc. The addition of LAB, improves the milk quality by increasing vit. B12. Cheese is one of the oldest food items in which microbes are used. For example, large holes in Swiss cheese are due to CO2 produced by the bacterium Propionibacterium sharmanii. The BOD test measures the rate of uptake of oxygen by microorganisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water. The greater the BOD of waste water, the more is its polluting potential. In anaerobic sludge digesters, bacteria produce a mixture of gases like methane, hydrogen sulphide and carbon dioxide. These gases form biogas and can be used as a source of energy. Biofertilisers are organisms that enrich the nutrient quality of the soil. The main sources of biofertilisers are bacteria, fungi and cyanobacteria. You have studied about the nodules on the roots of leguminous plants formed by the symbiotic association of Rhizobium. These bacteria fix atmospheric nitrogen into organic forms, which is used by the plant as a nutrient. Other bacteria can fix atmospheric nitrogen while free-living in the soil (examples Azospirillum and Azotobacter).
BOD refers to the -

If A and B are invertible matrices of the same order, then \(( AB )^{-1}\) is equal to

The current in a coil falls from 10.0 A to 0.0 A in 0.1 s. If an average emf of 100 V is induced in the coil, then the self inductance of the coil is.

Two slits are made 0.8 mm apart and the screen is placed 1.5 m away. What should be the width of each slit to obtain 8 maxima of the double slit pattern within the central maximum of the single slit pattern?

A line through the points \(A(3,4,1)\) and \(B(5,1,6)\) is drawn.
Direction cosines of the line passing through the points \(A\) and \(B\) are:

The carbohydrate used as storage molecule in plants is