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A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^\circ\text{C}$, two successive resonances are produced at $20 \text{ cm}$ and $73 \text{ cm}$ column length. If the frequency of the tuning fork is $320 \text{ Hz}$, the velocity of sound in air at $27^\circ\text{C}$ is:

A wave traveling in the +ve x-direction having maximum displacement along y-direction as $1 \text{ m}$, wavelength $2\pi \text{ m}$ and frequency of $1/\pi \text{ Hz}$, is represented by:

Each of the two strings of lengths $51.6 \text{ cm}$ and $49.1 \text{ cm}$ is tensioned separately by $20 \text{ N}$ of force. The mass per unit length of both strings is the same and equals $1 \text{ g/m}$. When both the strings vibrate simultaneously, the number of beats is:

In a guitar, two strings $A$ and $B$ made of same material are slightly out of tune and produce beats of frequency $6 \text{ Hz}$. When tension in $B$ is slightly decreased, the beat frequency increases to $7 \text{ Hz}$. If the frequency of $A$ is $530 \text{ Hz}$, the original frequency of $B$ will be:

The structure of C in the below-mentioned reaction is: (Note: Reaction scheme is missing from the provided text)

If n = 6, the correct sequence for the filling of electrons will be:

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:

An organ pipe filled with a gas at $27^\circ\text{C}$ resonates at $400\text{ Hz}$ in its fundamental mode. If it is filled with the same gas at $90^\circ\text{C}$, the resonance frequency at the same mode will be:

The energy of electron in the ground state ($n=1$) for $He^+$ ion is $-x$ J, then that for an electron in $n=2$ state for $Be^{3+}$ ion in J is:

In which of the following molecule, the internuclear distance will be maximum:

Given below are two statements: Statement I: The energy of the He⁺ ion in n=2 state is same as the energy of H atom in n=1 state. Statement II: It is possible to determine simultaneously the exact position and exact momentum of an electron in H atom. In light of the above statements, choose the correct answer from the options given below:

If an atom has electronic configuration $1s^2 2s^2 2p^6 3s^2 3p^6 3d^3 4s^2$, we will place it in group number:

$$RMgX + CO_2 \xrightarrow{\text{dry ether}} Y \xrightarrow{H_3O^+} RCOOH$$ What is Y in the above reaction?

What is the simplest formula of the ionic compound formed when magnesium reacts with an element X whose ground state electronic configuration is $1s^2 2s^2 2p^3$?

Identify the correct order of the size of the following species: $Ca^{2+}, K^+, Ar, S^{2-}, Cl^-$

Which one of the following orders is not in accordance with the property stated against?

The correct order of decreasing second ionization enthalpy of Ti(22), V(23), Cr(24) and Mn(25) is:

The molar conductance of M/32 solution of a weak monobasic acid is $8.0 \text{ ohm}^{-1} \text{ cm}^2$ and at infinite dilution is $400 \text{ ohm}^{-1} \text{ cm}^2$. The dissociation constant of this acid is:

The molar conductivity of a solution of $\text{AgNO}_3$ at $298 \text{ K}$ (considering the given data: concentration $= 0.5 \text{ mol/dm}^3$, electrolytic conductivity $= 5.76 \times 10^{-3} \text{ S cm}^{-1}$) is:

An ion, among the following, that has a magnetic moment of 2.84 BM is: (At. no. Ni = 28, Ti = 22, Cr = 24, Co = 27)