Two wires with resistances \( R_1 \) and \( R_2 \) are stretched n times their original length. After stretching, the two wires are connected in parallel. The equivalent resistance of the combination will be:

Choose the correct statements from the following.
A. Like light waves, thermal radiations are also electromagnetic radiation.
B. Electromagnetic waves can travel in vacuum but mechanical waves cannot do so.
C. Gamma rays are more energetic than X-rays.
D. Microwaves are heat waves so they always produce heating.
E. Displacement current is a fictious current and has nothing in common with conduction current.
Choose the correct answer from the options given below:

A ray of light passes through an equilateral glass prism such that the angle of incidence (i) = angle of emergence (e). If the angle of emergence is 0.75 times the angle of the prism, the refractive index of the prism will be

Choose the correct statements from the following :
(A) For a point charge, concentric spheres centred at the location of the charge are equipotential surfaces
(B) For practical purpose the earth is used as a reference at zero potential in electrical circuit
(C) In a cavity within a conductor without charges, the electric field is zero
(D) During charging by rubbing, the insulating material with higher work function becomes positively charged
(E) Dielectric polarisation means formation of electric dipole inside the dielectric
Choose the correct answer from the options given below :

The overhead horizontal power transmission line carries a current of 75 A from east to west direction. The magnetic field above it at a vertical distance of 1.2 m will be

If charge is moving perpendicular to uniform magnetic field then its time period of revolution is:

What is the force experienced by an electron moving with velocity of \(0.5 c\) in a magnetic field \(\vec{B}\) of \(2 T\) ? The angle between the velocity vector and \(\vec{B}\) is \(90^{\circ}\)
( \(c\) is the velocity of light, \(e=1.6 \times 10^{-19} C\) )

A solution of \(\text{AgSO}_4\) is electrolysed for 30 minutes with a current of 5 amperes. What is the mass of silver deposited? (Given At. Mass of Ag = 108 g/mol)

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.
Which sugar is known as milk sugar?

The interval in which the function \(f(x)=2 x^3+3 x^2-12 x+1\) is strictly increasing, is

In which process unusual nucleotide (methyl guanosine triphosphate) is added to the 5' end of hnRNA.

The value of \(\int \frac{x^5}{\sqrt{1+x^3}}\)dx is

Arrange the following complexes in increasing order of conductivity of their solution:
(A) \(\left[ Co \left( NH _3\right)_3 Cl _3\right]\)
(B) \(\left[ Co \left( NH _3\right)_4 Cl _2\right] Cl\)
(C) \(\left[ Co \left( NH _3\right)_6\right] Cl _3\)
(D) \(\left[ Co \left( NH _3\right)_5 Cl \right] Cl _2\)
Choose the correct answer from the options given below: