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Physics
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A nuclide 1 is said to be the mirror isobar of nuclide 2 if Z1 = N2 and Z2 = N1. (a) What nuclide is a mirror isobar of 1123 Na? (b) Which nuclide out of the two mirror isobars have greater binding energy and why?

[13] Nuclei
Chapter: [13] Nuclei
Concept: undefined >> undefined

Deuteron is a bound state of a neutron and a proton with a binding energy B = 2.2 MeV. A γ-ray of energy E is aimed at a deuteron nucleus to try to break it into a (neutron + proton) such that the n and p move in the direction of the incident γ-ray. If E = B, show that this cannot happen. Hence calculate how much bigger than B must E be for such a process to happen.

[13] Nuclei
Chapter: [13] Nuclei
Concept: undefined >> undefined

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Before the neutrino hypothesis, the beta decay process was throught to be the transition, `n -> p + vece`. If this was true, show that if the neutron was at rest, the proton and electron would emerge with fixed energies and calculate them. Experimentally, the electron energy was found to have a large range.

[13] Nuclei
Chapter: [13] Nuclei
Concept: undefined >> undefined

A rectangular, a square, a circular and an elliptical loop, all in the (x - y) plane, are moving out of a uniform magnetic field with a constant velocity `vecv = vhati`. The magnetic field is directed along the negative z-axis direction. The induced emf, during the passage of these loops, out of the field region, will not remain constant for ______.

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined

If the reading of the voltmeter V1 is 40 V, then the reading of voltmeter V2 is ______.

[7] Alternating Current
Chapter: [7] Alternating Current
Concept: undefined >> undefined

Distinguish between isotopes and isobars.

[13] Nuclei
Chapter: [13] Nuclei
Concept: undefined >> undefined

Two nuclei have different mass numbers A1 and A2. Are these nuclei necessarily the isotopes of the same element? Explain.

[13] Nuclei
Chapter: [13] Nuclei
Concept: undefined >> undefined

James Chadwick, in 1932 studied the emission of neutral radiations when Beryllium nuclei were bombarded with alpha particles. He concluded that emitted radiations were neutrons and not photons. Explain.

[13] Nuclei
Chapter: [13] Nuclei
Concept: undefined >> undefined

Two nuclei may have the same radius, even though they contain different numbers of protons and neutrons. Explain.

[13] Nuclei
Chapter: [13] Nuclei
Concept: undefined >> undefined

Using Huygens's construction of secondary wavelets explain how a diffraction pattern is obtained on a screen due to a narrow slit on which a monochromatic beam of light is incident normally.

[10] Wave Optics
Chapter: [10] Wave Optics
Concept: undefined >> undefined

Using Rutherford's model of the atom, derive the expression for the total energy of the electron in hydrogen atom. What is the significance of total negative energy possessed by the electron?

[12] Atoms
Chapter: [12] Atoms
Concept: undefined >> undefined

Figure shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15 A.

  1. Calculate the capacitance and the rate of charge of the potential difference between the plates.
  2. Obtain the displacement current across the plates.
  3. Is Kirchhoff’s first rule (junction rule) valid at each plate of the capacitor? Explain.

[8] Electromagnetic Waves
Chapter: [8] Electromagnetic Waves
Concept: undefined >> undefined

A parallel plate capacitor (Figure) made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad s−1.

  1. What is the rms value of the conduction current?
  2. Is the conduction current equal to the displacement current?
  3. Determine the amplitude of B at a point 3.0 cm from the axis between the plates.

[8] Electromagnetic Waves
Chapter: [8] Electromagnetic Waves
Concept: undefined >> undefined

A small candle, 2.5 cm in size is placed at 27 cm in front of a concave mirror of radius of curvature 36 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image? Describe the nature and size of the image. If the candle is moved closer to the mirror, how would the screen have to be moved?

[9] Ray Optics and Optical Instruments
Chapter: [9] Ray Optics and Optical Instruments
Concept: undefined >> undefined

A 4.5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm. Give the location of the image and the magnification. Describe what happens as the needle is moved farther from the mirror.

[9] Ray Optics and Optical Instruments
Chapter: [9] Ray Optics and Optical Instruments
Concept: undefined >> undefined

What is the shape of the wavefront in the following case?

Light diverging from a point source.

[10] Wave Optics
Chapter: [10] Wave Optics
Concept: undefined >> undefined

What is the shape of the wavefront in the following case?

Light emerging out of a convex lens when a point source is placed at its focus.

[10] Wave Optics
Chapter: [10] Wave Optics
Concept: undefined >> undefined

What is the shape of the wavefront in the following case?

The portion of the wavefront of light from a distant star was intercepted by the Earth.

[10] Wave Optics
Chapter: [10] Wave Optics
Concept: undefined >> undefined

You have learnt in the text how Huygens’ principle leads to the laws of reflection and refraction. Use the same principle to deduce directly that a point object placed in front of a plane mirror produces a virtual image whose distance from the mirror is equal to the object distance from the mirror.

[10] Wave Optics
Chapter: [10] Wave Optics
Concept: undefined >> undefined

Find the maximum frequency of X-rays produced by 30 kV electrons.

[11] Dual Nature of Radiation and Matter
Chapter: [11] Dual Nature of Radiation and Matter
Concept: undefined >> undefined
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