The resistance of a potentiometer wire of length 4 m is \( 10 \ \Omega \).
A resistance box and a 2 V accumulator are connected in series with it.
What resistance should be introduced in the box to have a potential drop of \( 1 \ \mu\text{V/mm} \) along the potentiometer wire?

In an electrical circuit, the three resistors of 3 \( \Omega \), 6 \( \Omega \) and 9 \( \Omega \) are connected in series. The voltage drop across 3 \( \Omega \) is 5 V. The voltage drop across the combination is

Two capacitors of capacitance of \( 6 \, \mu\text{F} \) and \( 12 \, \mu\text{F} \) are connected in series with a battery. The voltage across \( 6 \, \mu\text{F} \) capacitor is 2 V. The total voltage across the combination is

The storage battery of a car has an emf of 10 V. If the internal resistance of the battery is \( 0.2 \Omega \), then the maximum current that can be drawn from the battery is

A current of \(1.0\) mA is flowing through a potentiometer wire of length 4 m and of resistance \( 40 \, \Omega \). The potential gradient of the potentiometer wire will be :

Read the following statements regarding energy levels, and identify the correct statements.
(A) The energy of an atom is least when its electron is revolving in an orbit closest to the nucleus
(B) the energy levels of the excited states come closer and closer together as principal quantum number increases
(C) ionisation energy of the hydrogen atom is the minimum energy required to free the electron from the ground state of the hydrogen atom
(D) as the excitation of hydrogen atom increases, the value of minimum energy required to free the electron from the excited atom decreases.
Choose the correct answer from the options given below:

Young's double slit experiment is performed using a source of white light.
A. The center fringe will be white.
B. The fringe next to the center fringe will be violet.
C. The fringe next to the center fringe will be red.
D. There will be no completely dark fringe.
E. The center fringe will be of no colour.
Choose the correct answer from the options given below:

Disturbance in the value of allele frequency in Hardy Weinberg equilibrium is directly proportional to the:

Match List-l with List-II

List - l (Terms)	List - lI (Features)
(A) Natality	(I) Exit of individuals
(B) Mortality	(II) Entry of individuals
(C) Immigration	(III) Death rate
(D) Emigration	(IV) Birth rate

Choose the correct answer from the options given below:

Read the passage carefully and answer the questions
Carbohydrates such as cane sugar, glucose, starch etc. belong to a class of naturally occurring organic compounds. Structurally these are polyhydroxy aldehydes or ketones or the compounds which produce such units on hydrolysis. Carbohydrates which are sweet in taste are called sugars. Theses sugars can be reducing or non-reducing. Monosaccharides cannot be hydrolyzed to simpler units whereas Oligosaccharides yield two to ten monosaccharide units on hydrolysis. Polysaccharides yield large number of monosaccharide units on hydrolysis. This class of biomolecules is essential for living systems as they serve as storage molecules in plants and animals. In addition, they provide raw materials for important industries like furniture, textiles, paper, lacquers and breweries. Two aldopentose form important constituents of nucleic acids. Carbohydrates are also called saccharides (Greek: sakcharon which means sugar). Sugar which is used in household and in milk also comes under this class of biomolecules.
Sucrose on hydrolysis yields

The spin magnetic moment of cobalt in the compound named Mercuric tetrathiocyanato cobaltate (II) is

The area enclosed by the ellipse \(\frac{x^2}{9^2}+\frac{y^2}{6^2}=1\) is :

Amit, Sumit and Puneet were doing shooting.
Amit hits the target 4 times in 5 shots, Sumit hits the target 3 times in 4 shots and Puneet hits the target 2 times in 3 shots.
Then the probability that Amit, Sumit and Puneet all may hit the target is: