Two point charges \( 2 \, \mu\text{C} \) and \( 3 \, \mu\text{C} \) are placed at a distance of 5 cm from each other. The magnitude of the electrostatic force between them is:

Using monochromatic light for diffraction in a single slit of width 0.1 mm, with a central maximum of 5 mm width on a screen 50 cm away, the wavelength of light used is :

A body of mass 20 g and charge \( +50 \text{ }\mu\text{C} \) is suspended from the ceiling by a string. A horizontal electric field of 10 kV/m is applied.
The angle between the string and the vertical direction is :

The refractive indices of glass and water are \( \frac{3}{2} \) and \( \frac{4}{3} \), respectively. If the speed of light in water is \( 2.25 \times 10^8 \, \text{m/s} \), the speed of light in glass will be:

A parallel plate capacitor whose capacitance C is 13.0 pF is charged by a battery to a potential difference V = 13.0 V between its plates. What is the potential energy of the capacitor ?

Three capacitors each of capacitance \( 3 \mu F \) are provided. These cannot be combined to provide the resultant capacitance of:

In a diffraction pattern due to a narrow slit of width a, alternate dark and bright fringe pattern is obtained on a screen kept at distance D from the slit. Choose the correct option.
(A) The angular width of central maximum is given by 2D/a, linear width is given by 2D\lambda/a
(B) When the size of aperture, a is quite large, the diffraction effect is negligible,
(C) For light of smaller wavelength, angular width of central maximum increases, while linear width decreases,
(D) Angular width of central maximum does not decrease while linear width decreases on decreasing distance of screen from slit.
Choose the correct answer from the options given below:

A charity organization has a fund of Rs. 2, 00, 000 to provide annual grants to students. The grant amount each year is Rs. 15, 000. The fund earns an interest rate of r% per annum. If the interest earned is used entirely to provide the grants, then the annual interest rate r is:

The radius of innermost electron orbit of a hydrogen atom is \( 5.3 \times 10^{-11} \text{ m} \). What is the radius of n = 2 orbit ?

List-I	List-II
(A) Amino acids linked in a specific sequence.	(I) Primary structure of proteins.
(B) Regular folding of a specific sequence of amino acids due to H-bonding.	(II) Secondary structure of proteins.
(C) Fibrous proteins.	(III) Quaternary structure of proteins.
(D) Spatial arrangement of two or more polypeptide chains.	(IV) Tertiary structure of proteins.

Choose the correct answer from the options given below :

Osmotic pressure measurements are less accurate and difficult to carry out. Therefore, this method is not useful for measuring molecular weights. But it is used to find out molecular weights of polymers eg. plastics, proteins and starch having many monomer units. Knowing the value of osmotic pressure of a given solution, molecular weight of the solute can be calculated using Van't Hoff equation.
Determine the Molarity of a solution containing 4g of NaOH in 1L solution

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
The side chain ( \(R\) group) present in the "Aspartic Acid" amino acid is

A closely wound coil of 50 turns and radius 15 cm carries a current of 3 A. The magnetic moment of the coil is: