Two sitar strings A and B playing a note are slightly out of tune and produce beats of frequency 5 Hz. The tension in string B is slightly increased and beat frequency becomes 3 Hz. What is the original frequency of B if frequency of A is 427 Hz?

A magician during a show makes a glass lens \( \mu = 1.5 \) disappear in a trough of liquid. The refractive index of the liquid would be :

Choose the logic gate represented by the following combination of logic gates.

dentify the correct statement(s) among the following:
(A) An electric bulb connected with a capacitor in series with electric DC source, glows with full brightness.
(B) An electric bulb connected with capacitor in series with an AC source, does not glow.
(C) An electric bulb connected with capacitor in series with a electric DC source, does not glow.
(D) An electric bulb connected with capacitor in series with an AC source, glows well.
Choose the correct answer from the options given below:

Which of the following statements are correct?
(A) A nucleus of mass number A has a radius R given by the expression \( R = R_0 A^{1/3} \)
(B) Volume of nucleus is proportional to mass number A
(C) The density of nucleus increases with the radius of nucleus.
(D) Density of nuclear matter does not depend on its mass number A
Choose the correct answer from the options given below:

Consider the following statements
(A) Corpuscular model predicted that if the ray of light bends towards the normal after refraction then the speed of light would be greater in the second medium
(B) In optical fibre, the refractive index of the core is kept higher than cladding.
(C) Diffraction due to clouds is efficient in equal measures for all wavelengths
(D) Light travels faster in glass than in air.
(E) When light reflects from an air glass plate interface, the reflected wave suffers a phase change of \( \pi \).
Choose the correct answer from the options given below :

Keeping the voltage of the charging source constant, the separation between the plates of the capacitor is decreased by 10%. The percentage change in the energy stored in the capacitor will be:

Two solenoids of equal number of turns having their lengths and radii in the same ratio \(1: 3\). The ratio of their self inductances \(L _{ 1 }: L _{ 2 }\) will be :

The different methods of producing plane polarised light are
(A) Reflection
(B) Scattering
(C) Double Refraction
(D) Selective absorption
Choose the correct answer from the options given below:

The greatest integer function \(f: R \rightarrow R\) given by f(x) = [x] is:

Observe the figure and answer the following:

Match List I with List II

LIST I	LIST II
A. Disrupting selection	I. A
B. Stabilising selection	II. D
C. Favouring medium sized individuals	III. C
D. Directional selection	IV. B

Choose the correct answer from the options given below:

Read the passage carefully and answer the questions.
Electrochemistry is the study involving two types of processes. One type involves the production of electricity from the energy released during a spontaneous chemical reaction. Galvanic cells like Daniel cells are used to produce electricity from the redox reaction. Nernst equation of a galvanic cell gives the relation between the standard cell potential and the concentration of the species involved in the redox reaction. The second type of study involves the cells in which electrical energy is used to bring about the chemical reactions in a non-spontaneous process. The conductance of electrolytic solution depends on many factors including the nature of the electrolyte and the dimensions of the electrolytic cell.
Faraday's laws of electrolysis are related to:

Completion of the first meiotic division of the primary oocytes takes place -