A source emits sound of frequency 600 Hz inside water. The frequency heard in air (velocity of sound in water is 1500 m/s and velocity of sound in air is 300 m/s) will be :

Match List-I with List-II

List-I (Potential difference across the terminal of a battery)	List-II (Situations)
(A) V = E	(I) Cell is being charged
(B) V = 0	(II) The internal resistance of a cell is zero
(C) V = E - ir	(III) cell is short-circuited
(D) V = E + ir	(IV) current is being drawn from a cell

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Find the drift velocity of electrons in a metal conductor having density of conduction electrons \(9 \times 10^{28} m^{-3}\) of cross sectional area \(2 \times 10^{-7} m^2\) carrying 2 A current :

A current carrying solenoid of cross-sectional area \( 2 \, cm^2 \) and 2000 turns has a magnetic moment of \( 0.80 \, Am^2 \). The current flowing through the solenoid is

The resistance of a given carbon resistor is \(3.6 \times 10^6 \Omega \pm 5 \%\). What are the sequence of colour strips on the resistor?

If the flux of the electric field through a closed surface is zero.
(A) The electric field must be zero everywhere on the surface.
(B) The electric field may be zero everywhere on the surface.
(C) The charge inside the surface must be zero.
(D) The charge in the vicinity of its surface must be zero.
(E) The charge inside the surface may be zero.
Choose the correct answer from the options given below :

Which of the following option is incorrect?

Match List - I with List - II.

List - I	List - II
(A) \(\int_{-1}^1|x| d x\)	(I) 0
(B) \(\int_{-\pi / 2}^{\pi / 2} \sin x d x\)	(II) 2
(C) \(\quad \int_{-\pi / 2}^{\pi / 2} \cos x d x\)	(III) \(\pi / 4\)
(D) \(\quad \int_0^{\pi / 2} \sin ^2 x d x\)	(IV) 1

Choose the correct option from the ones given below :

Read the passage carefully and answer the questions
The resistance ( \(R\) ) of an object is given by the expression \(R=\rho \frac{l}{A}\)
The inverse of \(R\) is called conductance and the inverse of \(\rho\) is called conductivity or specific conductance represented by \(\kappa\).
The conductivity depends upon the nature of the material (insulator, semiconductor or conductor) and the temperature of the substance.
Similarly, the conductance due to the ions present in the solution. (ionic conductance) depends upon the nature of the electrolyte, size of ions, the nature of the solvent and the temperature.
Molar conductivity ( \(\Lambda _{ m }\) ) of a solution at a given concentration is the conductance of volume \(V\) containing one mole of electrolyte kept between two electrodes of area \(A\) and unit distance apart.
It is given by the expression.\(A_m=\kappa V .\)
Molar conductivity increases with decrease in concentration and when concentration approaches sero, it is called limiting molar conductivity.
The decrease is linear for a strong electrolyte. However, for a weak electrolyte the change is gradual at higher concentrations and sharp near zero concentration.
Using limiting molar conductivity values of strong electrolytes we can calculate the limiting molar conductivity of weak electrolytes using Kohlrausch law of independent migration of ions.
From molar conductivity and limiting molar conductivity we can determine the degree of dissociation \(\left(\frac{\Lambda_m}{\Lambda_m^0}\right)\) and the ionisation constant of a weak acid.
The limiting molar conductivity values for \(HCl , NaCl\) and \(CH _3 COONa\) are \(425.9,126.4\) and \(91.0 S cm ^2 mol^{-1}\), respectively.
Calculate the limiting molar conductivity value for acetic acid.

Identify the correct combination of salient features of the genetic code.
(A) AUG has dual functions as it codes for methionine (met), and also act as initiator codon.
(B) Some amino acids are coded by more than one codon, hence the code is degenerate.
(C) UAA, UAG, UGG are stop terminator codons.
(D) The codon is read in mRNA in a continuous fashion and there are no punctuations.
Choose the correct answer from the options given below:

Answer the question on basis of passage given below :
Alcohols and phenol are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively, is replaced by -OH group. The substitution of a hydrogen atom in a hydrocarbon by an alkoxy or aryloxy group forms ethers.
Alcohols and phenol consist of two part, an alkyl/aryl group and a hydroxyl group. The properties of alcohols and phenols are primarily due to the hydroxyl group. The nature of alkyl and aryl groups simply modify these properties. Alcohol react both as nucleophiles and electrophiles whereas in phenols, the reactions that take place on the aromatic ring are electrophilic subtitution reactions.
Few compounds are given below (A to D). Arrange them in the increasing
order of their boiling points.
(A) Pentan-1-ol
(B) n-Butane
(C) Pentan-1-al
(D) Ethoxyethane
Choose the correct answer from the options given below :

Match List-I with List-II

List-I (Terms)	List-II (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:

RNA polymerase III is responsible for transcription of -