The ratio of energies of photons produced due to the transition of an electron of hydrogen atom from its
i. second permitted energy level to the first level and
ii. the highest permitted energy level to the first energy level is

Match List-I with List-II:

List-I	List-II
(A) Current	(I) Opposition to flow of current
(B) Resistance	(II) Rate of flow of charge
(C) Resistivity	(III) Work done per unit charge
(D) EMF	(IV) Resistance per unit length \( \times \) unit cross sectional area

Choose the correct answer from the options given below:

Arrange the following waves in the increasing order of their wavelengths:
(A) Visible light waves
(B) Microwave waves
(C) Infrared waves
(D) AM radio waves
Choose the correct answer from the options given below:

A charge of \( 9 \mu C \) is given a displacement of \( \vec{r} = (4\hat{i} + 5\hat{j}) \text{ m} \) in an electric field \( \vec{E} = (5\hat{i} + 4\hat{j}) \text{ N/C} \). The work done in the process is

Which of the following particles/rays is emitted in a radioactive decay in which neither the atomic number nor the mass number changes?

A piece of copper and a piece of germanium are cooled from room temperature 20 C down to 80 K. The resistance of

A short bar magnet placed with its axis at \(30^\circ\) with a uniform external magnetic field of 0.16 T experiences a torque of magnitude 0.48 J. The magnetic moment of the bar magnet will be

Answer the question on the basis of passage given below :
Formaldehyde is the first member of the aldehydic series. It is present in green leaves of plants where its presence is supposed to be due to the reaction of \(CO_2\) with water in the presence of sunlight and chlorophyll. Commercially, formaldehyde is obtained by the controlled oxidation of methane in the presence of molybdenum oxide (\(MoO\)) acting as a catalyst. Formaldehyde is a constituent of a number of polymers also called resins. These are non volatile solids or semi solids which are obtained directly from certain plants and can be synthesized in the laboratory.
What is formalin ?

Read the passage carefully and answer the questions
Optically active polyhydroxy aldehydes or ketones or molecules which provide such units on hydrolysis are called carbohydrates. They can be broadly classified as monosaccharides, disaccharides and polysaccharides depending on their behavior towards hydrolysis. They are also classified as reducing or non-reducing sugars. Another class of biomolecules is proteins which are polymers of twenty different amino acids linked by peptide bonds. Amino acids can be classified as acidic, basic or neutral depending on the relative number of amino and carboxyl groups in their molecule. The essential amino acids cannot be synthesized by our body and hence must be provided through diet. Nucleic acids are the polymers of nucleotides which in turn consist of a base, pentose sugar and phosphate. There are two types of
nucleic acids namely, DNA and RNA which differ in the composition of sugar and a base
Which of the following is non-reducing sugar?

A car starts from a point at time \(t = 0\) seconds and stops at Q.
The distance \(x\) in meters covered by it in \(t\) seconds is given by
\(x = t^2 \left( 2 - \frac{t}{3} \right)\).
The time taken by it to reach Q is:

Let E and F are events associated with an experiment. If \(P(E)=0.4, P(F)=0.8\) and \(P(F \mid E)=0.6\) then \(P(E \mid F)\) is:

A vector of magnitude 8 units in the direction perpendicular to both the vectors \(\hat{i}+\hat{j}+\hat{k}\) and \(2 \hat{i}+\hat{k}\) is

2.5 g of the following substances are dissolved in 500 mL of water. Arrange the resultant solutions in increasing order of their molarity ;
(A) \(C _6 H _{12} O _6\left(180 g mol ^{-1}\right)\)
(B) \(NH _2 CONH _2\left(60 g mol ^{-1}\right)\)
(C) \(NaCl \left(58.5 g mol ^{-1}\right)\)
(D) \(MgSO _4\left(120 g mol ^{-1}\right)\)
Choose the correct order from the options given below :