Date & Time: 1st March 2017, 2:00 pm
Duration: 3h
Attempt all questions are compulsory.
The electrostatic potential energy of two-point charges, 1 µC each, placed 1 meter apart in the air is:
9 ×10^{3} J
9 ×10^{9}J
9 ×10^{-3} J
9 ×10^{-3} eV
Chapter: [1.02] Electrostatic Potential, Potential Energy and Capacitance
A wire of resistance 'R' is cut into 'n' equal parts. These parts are then connected in parallel with each other. The equivalent resistance of the combination is :
nR
R/n
n/R^{2}
R/n^{2}
Chapter: [1.02] Electrostatic Potential, Potential Energy and Capacitance
The magnetic susceptibility of platinum is 0.0001. It's relative permeability is:
1.0000
0.9999
1.0001
0
Chapter: [3.02] Magnetism and Matter
When a light wave travels from air to glass
its wavelength decreases.
its wavelength increases.
there is no change in wavelength.
its frequency decreases.
Chapter: [7] Dual Nature of Radiation and Matter
A radioactive substance decays to 1/16^{th }of its initial mass in 40 days. The half-life of the substance, in days, is:
20
10
5
2.5
Chapter: [8.02] Nuclei
Maximum torque acting on an electric dipole of moment 3×10^{-29} Cm in a uniform electric field E is 6 × 10^{-25 }Nm. Find E.
Chapter: [1.01] Electric Charges and Fields
What is meant by the drift speed of free electrons?
Chapter: [2] Current Electricity
On which conservation principle is Kirchoff's Second Law of electrical networks based?
Chapter: [2] Current Electricity
Calculate magnetic flux density of the magnetic field at the centre of a circular coil of 50 turns, having a radius of 0.5m and carrying a current of 5 A.
Chapter: [4.01] Electromagnetic Induction
An a.c generator generates an emf 'ε' where ε = 314 Sin (50πt) volt. Calculate the frequency of emf ε.
Chapter: [4.02] Alternating Current
With what type of source of light are cylindrical wave fronts associated?
Chapter: [6.02] Wave Optics
How is the fringe width of an interference pattern in Young's double-slit experiment affected if the two slits are brought closer to each other?
Chapter: [6.02] Wave Optics
In a regular prism, what is the relation between angle of incidence and angle of emergence when it is in the minimum deviation position?
Chapter: [6.01] Ray Optics and Optical Instruments
A converging lens of focal length 40 cm is kept in contact with a diverging lens of focal length 30 cm. Find the focal length of the combination .
Chapter: [6.01] Ray Optics and Optical Instruments
How can the spherical aberration produced by a lens be minimized?
Chapter: [6.01] Ray Optics and Optical Instruments
Calculate the momentum of a photon of energy 6 x I 0^{-19 }J.
Chapter: [7] Dual Nature of Radiation and Matter
According to Bohr, 'Angular momentum of an orbiting electron is quantized'. What is meant by this statement?
Chapter: [8.01] Atoms
Why nuclear fusion reaction is also called thermo-nuclear reaction?
Chapter: [8.02] Nuclei
What is the minimum energy which a gamma-ray photon must possess in order to produce electron-positron pair?
Chapter: [8.02] Nuclei
Show the variation of voltage with time, for a digital signal.
Chapter: [9] Electronic Devices
Show that electric potential at a point P, at a distance 'r' from a fixed point charge Q, is given by:
`v=(1/(4pi∈_0))Q/r`.
Chapter: [1.02] Electrostatic Potential, Potential Energy and Capacitance
The intensity of the electric field at a perpendicular distance of 0·5 m from an infinitely long line charge having linear charge density (λ) is 3-6 × 10^{3} Vm^{-1}. Find the value of λ.
Chapter: [1.01] Electric Charges and Fields
Three capacitors C_{1} = 3μF, C_{2} = 6μF, and C_{3} = 10μF are connected to a 50 V battery as shown in Figure below:
Calculate:
(i) The equivalent capacitance of the circuit between points A and B.
(ii) The charge on C_{1}.
Chapter: [1.02] Electrostatic Potential, Potential Energy and Capacitance
Two resistors R_{1}= 60 Ω and R_{2 }= 90Ω are connected in parallel. If electric power consumed by the resistor R_{1} is15 W, calculate the power consumed by the resistor R_{2}.
Chapter: [2] Current Electricity
Figure below shows two resistors R_{1} and R_{2} connected to a battery having an emf of 40V and negligible internal resistance. A voltmeter having a resistance of. 300 Ω is used to measure the potential difference across R_{1 }Find the reading of the voltmeter.
Chapter: [2] Current Electricity
A moving coil galvanometer has a coil of resistance 59 Ω. It shows a full-scale deflection for a current of 50 mA. How will you convert it to an ammeter having a range of 0 to 3A?
Chapter: [3.01] Moving Charges and Magnetism
In a meter bridge circuit, resistance in the left-hand gap is 2 Ω and an unknown resistance X is in the right-hand gap as shown in the figure below. The null point is found to be 40 cm from the left end of the Wire. What resistance should be connected to X so that the new null point is 50 cm from the left end of the wire?
Chapter: [2] Current Electricity
The horizontal component of the earth's magnetic field at a place is `1/sqrt(3)` time the vertical component. Determine the angle of dip at that place.
Chapter: [3.02] Magnetism and Matter
Using Ampere's circuital law, obtain an expression for the magnetic flux density 'B' at a point 'X' at a perpendicular distance 'r' from a long current-carrying conductor.
(Statement of the law is not required).
Chapter: [3.01] Moving Charges and Magnetism
PQ is a long straight conductor carrying a current of 3A as shown in Figure below. An electron moves with a velocity of 2 x 10^{7} ms^{-1 }parallel to it. Find the force acting on the electron.
Chapter: [3.01] Moving Charges and Magnetism [3.02] Magnetism and Matter
AB and CD are two parallel conductors kept 1 m apart and connected by a resistance R of 6 Ω as shown in Figure below. They are placed in a magnetic field B = 3 × 10^{-2} T which is perpendicular to the plane of the conductors and directed into the paper. A Wire. MN is placed over AB and CD. and then made to slide with a velocity 2 ms^{-1 }(Neglect the resistance of AB, CD, and MN.)
Calculate the induced c.urrent flowing through the resistor R.
Chapter: [1.02] Electrostatic Potential, Potential Energy and Capacitance
In an ideal transformer, an output of 66 kV is required when an input voltage of 220 V is available. If the primary has 300 turns, how many turns should the secondary have?
Chapter: [4.02] Alternating Current
In a series, LCR circuit, obtain an expression for the resonant frequency,
Chapter: [4.02] Alternating Current
State any one property which is common to all electromagnetic waves.
Chapter: [5] Electromagnetic Waves
Arrange the following electromagnetic waves in increasing order of their frequencies (i.e. begin with the lowest frequency):
Visible light, y rays, X rays, microwaves, radio waves, infrared radiations, and ultraviolet radiation.
Chapter: [5] Electromagnetic Waves
What is meant by diffraction of light?
Chapter: [7] Dual Nature of Radiation and Matter
In Fraunhofer diffraction, what kind of a source of light is used and where is it situated?
Chapter: [6.02] Wave Optics
In Young's double slit experiment using monochromatic light of wavelength 600 nm, 5^{th }bright fringe is at a distance of 0·48 mm from the centre of the pattern. If the screen is at a distance of 80 cm from the plane of the two slits, calculate:
(i) Distance between the two slits.
(ii) Fringe width, i.e. fringe separation.
Chapter: [6.02] Wave Optics
(i) State Brewster's law.
(ii) Find Brewster's angle for a transparent liquid having refractive index 1·5.
Chapter: [6.02] Wave Optics
Find a critical angle for glass and water pair, given the refractive index of glass, is 1 ·62 and that of water is 1 ·33.
Chapter: [6.01] Ray Optics and Optical Instruments
Starting with an expression for refraction at a single spherical surface, obtain Lens Maker's Formula.
Chapter: [6.01] Ray Optics and Optical Instruments
compound microscope consists of two convex lenses of focal length 2 cm and 5 cm. When an object is kept at a distance of 2.1 cm from the objective, a virtual and magnified image is fonned 25 cm from the eye piece. Calculate the magnifying power of the microscope.
Chapter: [6.01] Ray Optics and Optical Instruments
(i) What is meant by resolving power of a telescope?
(ii) State any one method of increasing the resolving power of an astronomical telescope.
Chapter: [6.01] Ray Optics and Optical Instruments
Plot a labelled graph of IV_{s}l where V_{s} is stopping potential versus frequency f of the incident radiation.
Chapter: [7] Dual Nature of Radiation and Matter
State how will you use this graph to detennine the value of Planck's constant.
Chapter: [7] Dual Nature of Radiation and Matter
Find the de Broglie wavelength of electrons moving with a speed of 7 x 10^{6 }ms^{ -1 }.
Chapter: [7] Dual Nature of Radiation and Matter
Describe in brief what is observed when moving electrons are allowed to fall on a thin graphite film and the emergent beam falls on a fluorescent screen.
Chapter: [7] Dual Nature of Radiation and Matter
Draw energy level diagram for a hydrogen atom, showing the first four energy levels corresponding to n=1, 2, 3 and 4. Show transitions responsible for:
(i) Absorption spectrum of Lyman series.
(ii) The emission spectrum of the Balmer series.
Chapter: [8.01] Atoms
(i) Find the maximum frequency of X-rays produced by an X-ray tube operating at a tube potential of 66 kV.
(ii) State any one difference between characteristic X-rays and continuous X-rays.
Chapter: [7] Dual Nature of Radiation and Matter
Obtain a relation between the half-life of a radioactive substance and decay constant (λ).
Chapter: [8.02] Nuclei
Calculate mass defect and binding energy per nucleon .of `"_10^20 Ne`, given
Mass of `"_10^20 Ne= 19.992397` u
Mass of `"_1^1H = 1.007825` u
Mass of `"_0^1n = 1.008665` u
Chapter: [8.02] Nuclei
With reference to a semiconductor diode, what is meant by:
(i) Forward bias
(ii) Reverse bias
(iii) Depletion region
Chapter: [9] Electronic Devices
Draw a diagram to show how NAND gates can be combined to obtain an OR gate. (Truth table is not, required)
Useful Constants and Relations:
1. | Charge of a proton | (e) | =1.6 × 10^{-19}C |
2. | Planck's constant | (h) | = 6·6 × 10^{-34} Js |
3. | Mass of an electron | (m) | = 9·1× 10^{-31} kg |
4. | Permittivity of vacuum | (∈_{0}) | =8 · 85 × 10^{-12} Fm^{-1 } |
5. | `(1/(4pi∈_0))` | =9 ×10^{9} mF^{-1} | |
6. | Permeability of vacuum | (μ_{0}) | = 4π × 10^{-7} Hm^{-1} |
7. | `((mu_0)/(4pi))` | =1 × 10^{-7 }Hm^{-1} | |
8. | Speed of light in vacuum | (c) | = 3× 10^{8 }ms^{-1} |
9. | Unified atomic mass unit | (u) |
= 931 MeV |
10. | Electron volt | (leV) | = 1.6 × 10^{-19} J |
Chapter: [9] Electronic Devices
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