Optionals IAS Mains Physics: Questions 206 - 210 of 307

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Question 206

Appeared in Year: 2005

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Essay▾

Consider a particle of mass in an infinite one-dimensional potential well of width The particle is found in the state given by

(i) calculate C.

(ii) If a measurement of energy is made, what are the possible result and what are the probabilities for each one of them?

Explanation

(It should be as the wavelength is normalized)

Since the functions are orthonormal.

It is more convenient to write in terms of

(a) since the normalization of yields

(b) Since the second derivative of equation (1) is given by and since the Hamiltonian of a free particle is the expectation of with respect to is

If a measurement is carried out on …

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Question 207

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Appeared in Year: 2005

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Essay▾

Why does one see two image points for a single object point while viewed through a calcite crystal? What is this property of the crystal known as? What is an optic axis of a crystal?

Explain the meaning of positive and negative crystals with one example of each kind.

Explanation

Calcite is an anisotropic crystal. If the arrangement of atoms differs in different directions within a crystal, then the physical properties vary with the direction. The thermal conductivity, electrical conductivity, velocity of light and hence refractive index etc. properties depend on the crystallographic direction along which the property is me…

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Question 208

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Appeared in Year: 2005

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Essay▾

Define: (i) input bias current (ii) input offset current (iii) input offset voltage (iv) output voltage (v) power supply rejection ratio (vi) slew rate for on OPAMP

Explanation

(iii) Input offset voltage: when the input of the op-amp are grounded, there is almost always an output effect voltage as illustrated in fig 1 (a) , because the input transistors have different values. For instance, the data sheet of a typical 741 C lists a maximum input effect voltage of . This difference of is an unwanted input signal that is a…

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Question 209

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Appeared in Year: 2017

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Essay▾

How is laser light different from ordinary light? Discuss the working principle of ruby laser. What role do chromium ions play in this process? (Paper - 1)

Explanation

Table of the Laser Light Different from Ordinary Light
Laser LightOrdinary Light
Laser light is highly coherentOrdinary light is incoherent in nature
Their coherence length is of the order of few km (kilometer)Their coherence length is of the order of few mm (millimeter)
It is travels in only one direction which is parallel to optic axis & can travel long distances with less attenuation.Intensity of ordinary light decreases with distance as it travels in the form of short pulses of small length and short duration.

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Question 210

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Appeared in Year: 2017

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Essay▾

Write the semi – empirical mass formula pointing out the role of volume term, surface energy term, coulomb and symmetry energy correction terms. (Paper - 2)

Explanation

We start by assuming that the energy associated with each nucleon – nucleon bond has some energy value This energy is actually negative since attractive forces are involved, but is usually written as positive because binding energy is considered a positive quantity for convenience.

Because each bond energy is shared by two nucleons, each has a bin…

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