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MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

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The molar specific heats of an ideal gas at constant pressure and constant volume are denoted by Cp and Cv respectively. If `gamma = "C"_"p"/"C"_"v"` and R is the universal gas constant, then Cp is equal to ______.

[6] Thermal Properties of Matter
Chapter: [6] Thermal Properties of Matter
Concept: undefined >> undefined

A monoatomic gas of pressure 'P' having volume 'V' expands isothermally to a volume '2V' and then adiabatically to a volume '16V'. The final pressure of the gas is ______.
(ratio of specific heats = `5/3`)

[6] Thermal Properties of Matter
Chapter: [6] Thermal Properties of Matter
Concept: undefined >> undefined

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The value of 'γ' for a gas is given as `gamma = 1 + 2/"f"`, where 'f ' is the number of degrees of freedom of freedom of a molecule of a gas. What is the ratio of `gamma_"monoatonic"//gamma_"diatomic"`?
Diatomic gas consists of rigid gas molecules

[6] Thermal Properties of Matter
Chapter: [6] Thermal Properties of Matter
Concept: undefined >> undefined

Heat is applied to a rigid diatomic gas at constant pressure. The ratio ΔQ : ΔU : ΔW is ______.

[6] Thermal Properties of Matter
Chapter: [6] Thermal Properties of Matter
Concept: undefined >> undefined

At same temperature and pressure of an ideal gas, ____________.

[6] Thermal Properties of Matter
Chapter: [6] Thermal Properties of Matter
Concept: undefined >> undefined

The current in coil changes from 0.6 A to 3 A in 0.06 s inducing a voltage of 8 V across it. Find initial energy stored in the coil.

[12] Electromagnetic Induction
Chapter: [12] Electromagnetic Induction
Concept: undefined >> undefined

Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of A is twice that of B and the tension in A is half that in B. The ratio of the velocities of waves in A and B is ____________.

[6] Superposition of Waves
Chapter: [6] Superposition of Waves
Concept: undefined >> undefined

Length of an organ pipe open at both ends is 34 cm. If velocity of sound is 340 m is, then the frequency of 2nd overtone is ______.

[6] Superposition of Waves
Chapter: [6] Superposition of Waves
Concept: undefined >> undefined

A transverse wave propagating along the string is y = 0.3 sin (x + 20t) where x, y are in metre and t in second. The linear density of the string is 1.2 x 10-4 kg/m. The tension in the string is ______.

[6] Superposition of Waves
Chapter: [6] Superposition of Waves
Concept: undefined >> undefined

A stretched uniform wire of length L under tension T is vibrating with frequency 'n' . A closed pipe of same length is also vibrating with same fundamental frequency 'n'. If T is increased by 16 N, it is in resonance with 2nd harmonic of same closed pipe. The initial tension in the wire is ______.

[6] Superposition of Waves
Chapter: [6] Superposition of Waves
Concept: undefined >> undefined

An organ pipe has fundamental frequency 100 Hz. If its one end is closed, the frequencies produced will be ______.

[6] Superposition of Waves
Chapter: [6] Superposition of Waves
Concept: undefined >> undefined

According to de Broglie, wave is associated with matter ____________.

[14] Dual Nature of Radiation and Matter
Chapter: [14] Dual Nature of Radiation and Matter
Concept: undefined >> undefined

A parallel combination of pure inductor and capacitor is connected across a source of alternating e.m.f. 'e'. The currents flowing through an inductor and capacitor are iL and iC respectively. In this parallel resonant circuit, the condition for currents i, iL and iC is (i = net r.m.s. current in the circuit)

[13] AC Circuits
Chapter: [13] AC Circuits
Concept: undefined >> undefined

Out of the following graphs which graph shows the correct relation for LC parallel resonant circuit?





[13] AC Circuits
Chapter: [13] AC Circuits
Concept: undefined >> undefined

An observer moves towards a stationary source of sound with a velocity one-fifth of the velocity of sound. The percentage increase in the apparent frequency heard by the observer will be ______.

[7] Sound
Chapter: [7] Sound
Concept: undefined >> undefined

In rejector circuit, above resonant frequency the circuit is ____________.

[13] AC Circuits
Chapter: [13] AC Circuits
Concept: undefined >> undefined

A pipe of length 85 cm is closed from one end. Find the number of possible natural oscillations of air colunm in the pipe whose frequencies lie below 1250 Hz. The velocity of sound in air is 340 m/s.

[6] Superposition of Waves
Chapter: [6] Superposition of Waves
Concept: undefined >> undefined

Two protons are kept at a separation of 10 nm. Let Fn and Fe be the nuclear force and the electromagnetic force between them ____________.

[15] Structure of Atoms and Nuclei
Chapter: [15] Structure of Atoms and Nuclei
Concept: undefined >> undefined

If we study the vibration of a pipe open at both ends, then which of the following statements is not true?

[6] Superposition of Waves
Chapter: [6] Superposition of Waves
Concept: undefined >> undefined

The radius of germanium (Ge) nuclide is measured to be twice the radius of  `""^9""_4"Be"`. The number of nucleons in Ge will be ____________.

[15] Structure of Atoms and Nuclei
Chapter: [15] Structure of Atoms and Nuclei
Concept: undefined >> undefined
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