Q1
mcq
In the combination of the following gates, write the Boolean equation for output Y in terms of input A, B, C.
- A. A B C
- B. ABC
- C. A B C+ +
- D. A B C+ +
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Q2
mcq
If a material having intensity of magnetisation 500 Am$^{-1}$ is placed in a magnetising field of 1000 Am$^{-1}$, then the susceptibility of the material is :
- A. 0.2
- B. 0.8
- C. 0.7
- D. 0.5
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Q3
mcq
In a transformer, the number of turns in the primary and the secondary are 410 and 1230 respectively. If the current in primary is 6 A, then that in the secondary coil is :
- A. 12 A
- B. 2 A
- C. 1 A
- D. 18 A
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Q4
mcq
In Joule’s heating law, when R and t are constant, if the H is taken along the y-axis and I$^2$ along the x-axis, the graph is :
- A. circle
- B. straight line
- C. ellipse
- D. parabola
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Q5
mcq
The dimension of $\frac{1}{\sqrt{\epsilon_0\mu_0}}$ is :
- A. [L$^{-1}$ T]
- B. [L T$^{-1}$]
- C. [L$^{-2}$ T$^2$]
- D. [L$^2$ T$^{-2}$]
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Q6
mcq
“Ski wax” is an application of nano product in the field of :
- A. Sports
- B. Medicine
- C. Automotive industry
- D. Textile
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Q7
mcq
An electric dipole is placed at an alignment angle of 30$^o$ with an electric field of 2×10$^5$ NC$^{-1}$. It experiences a torque equal to 8 Nm. The charge on the dipole if the dipole length is 1 cm is:
- A. 5 mC
- B. 4 mC
- C. 7 mC
- D. 8 mC
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Q8
mcq
For light incident from air on a slab of refractive index 2, the maximum possible angle of refraction is :
- A. 608
- B. 308
- C. 908
- D. 458
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Q9
mcq
A radioactive element has N$_0$ number of nuclei at t = 0. The number of nuclei remaining after half of a half-life, that is, at time t = T/2 is :
- A. N$_0$/4
- B. N$_0$/2
- C. N$_0$/8
- D. N$_0$/2
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Q10
mcq
Calculate the distance upto which ray optics is a good approximation for light of wavelength 500 nm falls on an aperture of width 0.5 mm.
- A. 20 cm
- B. 25 m
- C. 25 cm
- D. 30 cm
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Q11
mcq
First diffraction minimum due to a single slit of width 1.0×10$^{-5}$ cm is at 308. Then wavelength of light used is :
- A. 600 Å
- B. 400 Å
- C. 700 Å
- D. 500 Å
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Q12
mcq
A thin conducting spherical shell of radius R has a charge Q which is uniformly distributed on its surface. The correct plot for electrostatic potential due to this spherical shell is :
- A. (a)
- B. (b)
- C. (c)
- D. (d)
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Q13
mcq
In photoelectric emission, a radiation whose frequency is 4 times threshold frequency of a certain metal is incident on the metal. Then, the maximum possible velocity of the emitted electron will be :
- A. $\sqrt{\frac{0h}{2m}}\nu$
- B. $\sqrt{\frac{0h}{m}}\nu$
- C. $\sqrt{\frac{0h}{2m}}\nu$
- D. $\sqrt{\frac{06h}{m}}\nu$
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Q14
mcq
To obtain sustained oscillation in an oscillator,
- A. Feedback factor must be unity
- B. Phase shift must be 0 or 2π
- C. Feedback should be positive
- D. All the above
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Q15
mcq
The transverse nature of light is shown in :
- A. scattering
- B. interference
- C. polarisation
- D. diffraction
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Q16
short answer
A parallel plate capacitor has two square plates of side 5 cm and separated by a distance of 1 mm. Calculate the capacitance of this capacitor.
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Q19
short answer
What is mass defect ? Give its expression.
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Q21
mcq
What are the shapes of wavefront for a :
- A. Source at infinite
- B. Point source
- C. Line source
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Q22
short answer
Draw the circuit diagram for a forward biased p-n junction diode.
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Q24
short answer
A cell supplies a current of 0.9 A through a 2Ω resistor and a current of 0.3 A through a 7Ω resistor. Calculate the internal resistance of the cell.
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Q25
short answer
State Kirchhoff’s current rule and voltage rule.
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Q26
short answer
A radiation of wavelength 300 nm is incident on calcium surface. Will photoelectrons be observed ? Justify your answer. (Work function of calcium = 3.20eV)
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Q27
short answer
Give an account of magnetic Lorentz force.
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Q28
short answer
What are the advantages and disadvantages of Alternating Current System over Direct Current System ?
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Q29
short answer
Write down the properties of electromagnetic waves. (Any six)
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Q30
short answer
Obtain the relation between phase difference and path difference.
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Q31
short answer
What are the differences between coulomb force and gravitational force ?
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Q32
short answer
Distinguish between intrinsic and extrinsic semiconductors.
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Find the (i) Angular momentum (ii) Velocity of the electron revolving in the 5th orbit of hydrogen atom of radius 13.25 Å.
Q35
short answer
Find the (i) Angular momentum of the electron revolving in the 5th orbit of hydrogen atom of radius 13.25 Å.
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Q36
long answer
5 marks
Obtain the expression for electric field due to an infinitely long charged wire.
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Q37
long answer
5 marks
State and prove DeMorgan’s first and second theorems.
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Q38
long answer
5 marks
How the emf of two cells are compared using potentiometer ?
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Q39
long answer
5 marks
Describe the Fizeau’s method to determine the speed of light.
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Q40
long answer
5 marks
Derive the expression for the torque on a current - carrying coil in a magnetic field.
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Q41
long answer
5 marks
Explain the construction and working of photo emissive cell and give any two applications of photo cell.
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Q42
long answer
5 marks
How will you induce an emf by changing the area enclosed by a coil ?
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Q43
long answer
5 marks
A circular metallic disc of area 0.03 m^2 rotates in a uniform magnetic field of 0.4 T. The axis of rotation passes through the centre and perpendicular to its plane and is also parallel to the magnetic field. If the disc completes 20 revolutions in one second and the resistance of the disc is 4 Ω, calculate the induced emf between the axis and the rim.
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Q45
long answer
5 marks
What is the angle at which a glass plate of refractive index 1.65 is to be kept with respect to the horizontal surface so that an unpolarised light travelling horizontal after reflection from the glass plate is found to be plane polarised ?
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Q46
long answer
5 marks
Obtain the law of radioactive decay.
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Q47
long answer
5 marks
What is absorption spectrum ? Explain the types of absorption spectrum.
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