Computational Geometry : Space Curves Beizer curves

Space Curves Beizer curves

Space Curves Beizer curves MCQ &amp Answers

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Q.1. Parametric equation of a circle with center at origin and radius r are ------.

A. (- 𝑟 cos 𝜃 , 𝑟 sin 𝜃)
B. (𝑟 cos 𝜃 , 𝑟 sin 𝜃)
C. (𝑟 cos 𝜃 , - 𝑟 sin 𝜃)
D. (- 𝑟 cos 𝜃 , - 𝑟 sin 𝜃)

Q.2. Parametric equation of a circle with center at (h, k ) and radius r are -------.

A. (- 𝑟 cos 𝜃 + ℎ , 𝑟 sin 𝜃 − 𝑘)
B. (𝑟 cos 𝜃 + ℎ , 𝑟 sin 𝜃 + 𝑘)
C. (𝑟 cos 𝜃 + ℎ , 𝑟 sin 𝜃 - 𝑘)
D. (𝑟 cos 𝜃 − ℎ , 𝑟 sin 𝜃 + 𝑘)

Q.3. The angle 𝛿𝜃 to generate uniformly spaced 5 points on the circumference of a circle in the 2^nd and 3^rd quadrant is -----------

A. -45°
B. 45°
C. 60°
D. -60°

Q.4. The angle 𝛿𝜃 to generate 36 points on the circle (𝑥 − 2)² + (𝑦 + 2)² = 25 is……..

$A. \:\: \frac{\pi}{18}$

$B. \:\: \frac{\pi}{8}$

$C. \:\: \frac{\pi}{11}$

$D. \:\: \frac{\pi}{36}$

Q.5. If we generate 4 points in the first quadrant of the unit circle with center at origin then first point is ----------.

A. (0.9239, 0.3827) B. ( 0, 1)
C. ( 1, 0) performance D. (-0.9239, 0.3827)

Q.6. Let [x] represents n points of the origin centered circle of radius 2 then matrix representing circle of radius 2 with center located at ( 2, 2) is --------.

$A.\:\:\: \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0\\ 2 & 2 & 1 \\ \end{bmatrix} \quad$

$B.\:\:\: \begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0\\ 1 & 1 & 1 \\ \end{bmatrix} \quad$

$C.\:\:\: \begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0\\ 2 & 2 & 1 \\ \end{bmatrix} \quad$

$D.\:\:\: \begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0\\ -2 & -2 & 1 \\ \end{bmatrix} \quad$

Q.7. If we generate 8 uniformly spaced points on the circle 𝑥² + 𝑦² = 1 the second point is -------.

$A.\:\:\: \left(\frac{1}{\sqrt{2}}\:\:,\frac{-1}{\sqrt{2}} \right)$

$B.\:\:\: \left(\frac{1}{\sqrt{2}}\:\:,\frac{1}{\sqrt{2}} \right)$

C. (0, 1)
D. (1, 0)

Q.8. The parametric curve representation of straight line segment between two position vectors 𝑃₁ and 𝑃₂ is --------.

A. 𝑃(𝑡) = 𝑃₁ + (𝑃₂ − 𝑃₁)t
B. 𝑃(𝑡) = 𝑃₁ - (𝑃₂ − 𝑃₁)t
C. 𝑃(𝑡) = 𝑃₁ + 𝑃₂t
D. 𝑃(𝑡) = 𝑃₂ + 𝑃₁t

Q.9. Let [x] represent n points of the circle 𝑥² + 𝑦² = 1 and [𝑋^∗] = [X] [ 𝑇₁] [𝑇₂] represent n points of circle (𝑥 − 5)² + (𝑦 + 3)² = 4. The transformation matrix is -----

$A.\:\:\: \begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0\\ -5 & -3 & 1 \\ \end{bmatrix} \quad$

$B.\:\:\: \begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0\\ 5 & -3 & 1 \\ \end{bmatrix} \quad$

$C.\:\:\: \begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0\\ 5 & 3 & 1 \\ \end{bmatrix} \quad$

$D.\:\:\: \begin{bmatrix} 2 & 0 & 0 \\ 0 & -2 & 0\\ -5 & -3 & 1 \\ \end{bmatrix} \quad$

Q.10. To generate n points on a are of a circle the parameter range is-------.

$A.\:\:\: \delta \theta = \frac{\theta_n -\theta_1 }{n}$

$B.\:\:\: \delta \theta = \frac{\theta_n -\theta_1 }{n-1}$

$C.\:\:\: \delta \theta = \frac{\theta_n +\theta_1 }{n}$

$D.\:\:\: \delta \theta = \frac{\theta_n +\theta_1 }{n+1}$

Physics - Oscillations, Waves and Sound - Sound and Doppler Effect

Sound and Doppler Effect - sound Intensity, Loudness, Pitch, Quality and timbre, Reverberation time, reverberation of hall, Sabine’s formula : Link1

Sound and Doppler Effect MCQ & Answers

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Q.1. Which one of the following statement is false.

A. Sound of mosquito produces high pitch than the sound of a lion.
B. Sensitivity increases with a decrease in intensity.
C. The normal hearing range is between 20 Hz and 80,000 Hz.
D. Reverberation time is independent of the shape of the room.

Q.2.A Sounds of frequency higher than 20,000 Hz which are inaudible to normal human ear are called ------.

A. noise B. frequency
C. ultrasonic m D. amplitude

Q.3. The loudness and amplitude of sound varies -------.

A. directly
B. inversely
C. not related
D. proportionally

Q.4. The scale to measure the intensity level of sound is called ------.

A. vector scale
B. measuring ruler
C. bel scale
D. decibel scale

Q.5. The pitch of sound depends on -------.

A. frequency B. amplitude
C. frequency and amplitude D. none of the above

Q.6. What is the quantity that helps us distinguish a particular voice of a singer from the voice of many singers?

A. Pitch
B. Timbre
C. Intensity
D. Music

Q.7. The hearing range of human ear is ------.

A. 20 Hz to 25,000 Hz B. less than 20 Hz
C. more than 20,000 Hz D. 20 Hz to 20,000 Hz

Q.8. What happens if the reverberation time is too larger?

A. The sound becomes inaudible
B. Echoes are produced
C. Frequency becomes high
D. The sound becomes infrasonic

Q.9. What happen when window panel sections of the wooden portions are thrown into vibrations to produce new sounds?

A. vibrations are produced
B. resonance occurs
C. echoes are produced
D. absorption occurs

Q.10. Which one of the following statement is false.

A. Red shift describes the effect of the Doppler shift on the appearance of stars moving towards earth.
B. Doppler effect phenomena can be applied to estimate the velocity of star with respect to earth.
C. The Doppler effect is a change in frequency due to the relative motion of a source of sound.
D. Doppler effect increase the intensity of wave when its source approach the observer.

Physics - Oscillations, Waves and Sound - Wave Motion

Wave Motion - Equation for longitudinal waves, transverse waves, Energy density and intensity of a wave, seismic waves and gravitational waves: Link1

Wave Motion MCQ & Answers

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Q.1. What is intensity of sound?

A. it is inversely proportional to the square of the distance of point from the source.
B. it is directly proportional to the square of amplitude of vibration, square of frequency and density of the medium.
C. Both A and B
D. neither A nor B

Q.2.A body of mass 5 kg hangs from a spring and oscillates with a time period of 2π seconds. If the body is removed, the length of the spring will decrease by --------.

A. g/km B. k/g m
C. 2π m D. g m

Q.3. In microwave ovens, water molecules in food are set into resonance when microwave of fixed frequency are incident upon them. This causes the molecules to receive energy and hence warm up the food. In order to warm up food faster, one can -------.

A. increase the frequency of the incident microwave while keeping its amplitude fixed.
B. increase the frequency and amplitude of the incident microwave.
C. increase the amplitude of the incident microwave while keeping its frequency fixed.
D. keep both frequency and amplitude of the incident microwave the same as before but increase the frequency of the water molecules.

Q.4. A swimmer floating in the water moves up and down as the waves pass by her. The distance moves up and down would be -------.

A. twice the amplitude
B. the wavelength
C. the amplitude
D. twice the wavelength

Q.5. Which of the following does not exhibit polarization?

A. longitudinal wave in a gas B. transverse wave in a gas
C. neither A nor B D. both A and B

Q.6. In longitudinal wave, the motion of particle is --------- the wave's direction of propagation.

A. perpendicular to
B. parallel to
C. along
D. opposite from

Q.7. A sound wave is an example of a ------ wave.

A. Rayleigh B. interrupted
C. longitudinal D. transverse

Q.8. The amplitude of a wave is a measure of its ------.

A. height
B. period
C. length
D. speed

Q.9. Wave speed is ------the period of a wave.

A. directly proportional to
B. smaller than
C. larger than
D. inversely proportional to

Q.10. A wave with a frequency of 1000 Hz has period of ------.

A. 0.001 sec
B. 0.0001
C. 0.01 sec
D. 0.1 sec

Advanced Operating System - File and Directory I/O

File and Directory I/O - Buffer headers, reading and writing disk blocks, inodes, structure of regular file, reading directories: Link1

File and Directory I/O MCQ & Answers

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Q.1. The kernel caches data in the buffer pool according to a ---------.

A. least recently used algorithm
B. First In First Out algorithm
C. Optimal Page replacement algorithm
D. None of the above

Q.2.The kernel must write the -------buffer to the disk and allocate another buffer.

A. write B. post write
C. delayed write D. delayed read

Q.3. The kernel involves algorithm -------- when a process has no more need for buffer.

A. bread
B. Brelse
C. bwrite
D. iget

Q.4. The -------- may read data from the disk to the buffer and manipulate it or write data to the buffer and possibly to the disk.

A. Disk controller
B. Scheduler
C. Controller
D. Kernel

Q.5. Buffer cache helps to ---------.

A. Allocate memory B. store data
C. improved read /write performance D. None of the above

Q.6. A buffer memory used to accommodate a speed differential called ---------.

A. stack pointer
B. cache
C. disk buffer
D. accumulator

Q.7. The kernel maintains a free list of buffers is a -------- of buffers with a dummy buffer header that marks its beginning and end.

A. doubly linked list B. doubly linked circular list
C. singly linked circular list D. singly linked list

Q.8. he algorithms for reading and writing disk blocks use the algorithm --------- to allocate buffers from the pool.

A. getblk
B. least recently used
C. FIFO
D. None of the above

Q.9. The algorithm -------- for writing contents of a buffer to a disk block.

A. bread
B. breada
C. bwrite
D. write

Q.10. Algorithm ------ means block read and read ahead.

A. breada
B. bread
C. bwrite
D. read

Physics - Oscillations, Waves and Sound - Forced Oscillations

Forced Oscillations - Differential equation for forced oscillations,Resonance,Velocity, Average energy, Quality factor: Link1

Forced Oscillations MCQ & Answers

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Q.1. Amplitude A of forced oscillations
$m\:\frac{d^2x}{dt^2} +$ $R\:\frac{dx}{dt} + kx = fo \:\:\:sin\: qt\: is\: given\: as ----$

$A. \:\:\:\:\:\: A=\frac{fo}{\sqrt(k-mq^2)^2 - R^2q^2}$

$B. \:\:\:\:\:\: A=\frac{fo}{\sqrt(k-mq)^2 - R^2q^2}$

$C. \:\:\:\:\:\: A=\frac{fo}{\sqrt(k-mq^2)^2 - Rq^2}$

$D. \:\:\:\:\:\: A=\frac{fo}{\sqrt(k-mq^2)^2 - R^2q}$

Q.2. The phase of oscillations
$m\:\frac{d^2x}{dt^2} +$ $R\:\frac{dx}{dt} + kx = fo \:\:\:sin\: qt\: is\: given\: as ----$

$A. \:\: tan\: \phi = \frac{Rq}{k-mq^2}$

$B. \:\: sin\: \phi = \frac{Rq}{k-mq^2}$

$C. \:\: cos\: \phi = \frac{Rq}{k-mq^2}$

$D. \:\: tan\: \phi = \frac{R^2q^2}{k-mq^2}$

Q.3. Which of the following differential equation represents forced oscillatory motion?

$A.\:\:\: m\:\frac{d^2x}{dt^2} +\:\: kx = 0$

$B.\:\:\: m\:\frac{d^2x}{dt^2} + R\frac{dx}{dt}+\:\: kx = fo\:\: sin\:\: qt\:\:$

$C.\:\:\: m\:\frac{d^2x}{dt^2} + R\frac{dx}{dt}-\:\: kx = 0\:$

$D.\:\:\: m\:\frac{d^2x}{dt^2} - R\frac{dx}{dt}-\:\: kx = 0\:$

Q.4. Natural frequency of free oscillations
$\:\:\: m\:\frac{d^2x}{dt^2} + R\frac{dx}{dt}+\:\: kx = fo\:\:sin\:\:qt\:\:is\:----$

$A.\:\:\: \omega = \sqrt {mk}$

$B.\:\:\: \omega = \sqrt {\frac{1}{km}$

$C.\:\:\: \omega = \sqrt {\frac{m}{k}$

$D.\:\:\: \omega = \sqrt {\frac{k}{m}$

Q.5. Maximum amplitude of resonance at amplitude resonance in forced oscillation is -------.

$A.\:\:\: \frac{fo\:\omega}{R}$

$B.\:\:\: \frac{fo\:}{\omega R}$

$C.\:\:\: \frac{foR\:}{\omega }$

$D.\:\:\: \frac{fo\: m\:}{\omega R }$

Q.6. Resonance takes place when naural angular frequency of oscillations ω is ------- angular frequency of driving force q in forced oscillation
$\:\:\: m\:\frac{d^2x}{dt^2} + R\frac{dx}{dt}+\:\: kx = fo\:\: sin\:\: qt\:.$

A. less than
B. greater than
C. equal to
D. less or greater than

Q.7. Maximum amplitude of velocity of resonance at velocity resonance in forced oscillation is ------.

$A.\: \:\frac{fo}{R}$

$B.\: \:\frac{fo}{2R}$

$C.\: \:\frac{foR}{2}$

$D.\: \:\frac{fo}{\omega R}$

Q.8. Half width Δω of the resonance for
$\:\:\: m\:\frac{d^2x}{dt^2} + R\frac{dx}{dt}+\:\: kx = fo\:\: sin\:\: qt\:\:is ----$

$A.\: \:\frac{R}{m}$

$B.\: \:\frac{R}{2m}$

$C.\: \:\frac{R}{4m}$

$D.\: \:\frac{R}{8m}$

Q.9. At velocity resonance, phase difference between displacement and applied force is -------.

A. π

$B.\: \:\frac{\pi}{4}$

$C.\: \:\frac{\pi}{2}$

D. 2π

Q.10. Bandwidth of power resonance q is the difference in angular frequencies of applied force for which power falls from
$\bar Pmax \: \: to\:\: \frac{1}{2}\bar Pmax \:\: is \:\:given \:\:as\:-----$