ISC (Commerce)
ISC (Arts)
ISC (Science)
Academic Year: 2016-2017
Date & Time: 1st March 2017, 2:00 pm
Duration: 3h
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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 ×103 J
9 ×109J
9 ×10-3 J
9 ×10-3 eV
Chapter:
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/R2
R/n2
Chapter: [4] Capacitors and Dielectrics
The magnetic susceptibility of platinum is 0.0001. It's relative permeability is:
1.0000
0.9999
1.0001
0
Chapter:
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:
A radioactive substance decays to 1/16th of its initial mass in 40 days. The half-life of the substance, in days, is:
20
10
5
2.5
Chapter:
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:
What is meant by the drift speed of free electrons?
Chapter: [5] Electric Resistance and Ohm's Law
On which conservation principle is Kirchoff's Second Law of electrical networks based?
Chapter: [6] DC Circuits and Measurements
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: [11] Electromagnetic Induction
An a.c generator generates an emf 'ε' where ε = 314 Sin (50πt) volt. Calculate the frequency of emf ε.
Chapter: [12] Alternating Current
With what type of source of light are cylindrical wave fronts associated?
Chapter:
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:
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:
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:
How can the spherical aberration produced by a lens be minimized?
Chapter:
Calculate the momentum of a photon of energy 6 x I 0-19 J.
Chapter:
According to Bohr, 'Angular momentum of an orbiting electron is quantized'. What is meant by this statement?
Chapter:
Why nuclear fusion reaction is also called thermo-nuclear reaction?
Chapter:
What is the minimum energy which a gamma-ray photon must possess in order to produce electron-positron pair?
Chapter:
Show the variation of voltage with time, for a digital signal.
Chapter:
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:
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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 × 103 Vm-1. Find the value of λ.
Chapter: [1] Electric Charges and Fields
Three capacitors C1 = 3μF, C2 = 6μF, and C3 = 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 C1.
Chapter:
Two resistors R1= 60 Ω and R2 = 90Ω are connected in parallel. If electric power consumed by the resistor R1 is15 W, calculate the power consumed by the resistor R2.
Chapter:
Figure below shows two resistors R1 and R2 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 R1 Find the reading of the voltmeter.
Chapter: [6] DC Circuits and Measurements
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: [8] Torque on a Current-Loop : Moving-Coil Galvanometer
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:
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:
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: [7] Moving Charges and Magnetic Field
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 107 ms-1 parallel to it. Find the force acting on the electron.
Chapter:
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:
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: [12] Alternating Current
In a series, LCR circuit, obtain an expression for the resonant frequency,
Chapter:
State any one property which is common to all electromagnetic waves.
Chapter:
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: [13] Electromagnetic Waves
In Fraunhofer diffraction, what kind of a source of light is used and where is it situated?
Chapter:
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In Young's double slit experiment using monochromatic light of wavelength 600 nm, 5th 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:
(i) State Brewster's law.
(ii) Find Brewster's angle for a transparent liquid having refractive index 1·5.
Chapter:
Find a critical angle for a glass and water pair, given the refractive index of glass is 1.62 and that of water is 1.33.
Chapter:
Starting with an expression for refraction at a single spherical surface, obtain Lens Maker's Formula.
Chapter:
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:
(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:
Plot a labelled graph of IVsl where Vs is stopping potential versus frequency f of the incident radiation.
Chapter:
State how will you use this graph to detennine the value of Planck's constant.
Chapter:
Find the de Broglie wavelength of electrons moving with a speed of 7 × 106 ms -1.
Chapter:
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:
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:
(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:
Obtain a relation between the half-life of a radioactive substance and decay constant (λ).
Chapter:
Calculate mass defect and binding energy per nucleon of `"_10^20 Ne`, given
Mass of `"_10^20 Ne= 19.992397` u
Mass of `"_0^1H = 1.007825` u
Mass of `"_0^1n = 1.008665` u
Chapter:
With reference to a semiconductor diode, what is meant by:
(i) Forward bias
(ii) Reverse bias
(iii) Depletion region
Chapter:
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 × 10-19C |
| 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 ×109 mF-1 | |
| 6. | Permeability of vacuum | (μ0) | = 4π × 10-7 Hm-1 |
| 7. | `((mu_0)/(4pi))` | =1 × 10-7 Hm-1 | |
| 8. | Speed of light in vacuum | (c) | = 3× 108 ms-1 |
| 9. | Unified atomic mass unit | (u) |
= 931 MeV |
| 10. | Electron volt | (leV) | = 1.6 × 10-19 J |
Chapter:
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