Q. What is the nature of the image formed by a convex lens when the object is placed beyond the focal length?
A.
Virtual and erect
B.
Real and inverted
C.
Real and erect
D.
Virtual and inverted
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Solution
When an object is placed beyond the focal length of a convex lens, the image formed is real and inverted.
Correct Answer: B — Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed at twice the focal length?
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
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Solution
When the object is at 2f, the image is formed at 2f on the opposite side, making it real and inverted.
Correct Answer: A — Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed at a distance greater than twice the focal length?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
When the object is placed beyond 2f, the image formed by a convex lens is real and inverted.
Correct Answer: A — Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed at infinity?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
When the object is at infinity, the rays converge at the focal point, forming a real and inverted image.
Correct Answer: A — Real and inverted
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Q. What is the nature of the image formed by a convex mirror?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
A convex mirror always forms a virtual image that is upright and smaller than the object.
Correct Answer: B — Virtual and upright
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Q. What is the nature of the image formed by a plane mirror?
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
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Solution
A plane mirror always forms a virtual and erect image, as the image appears behind the mirror at the same distance as the object.
Correct Answer: B — Virtual and erect
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Q. What is the net force acting on an object at rest?
A.
Zero
B.
Equal to its weight
C.
Equal to its mass
D.
Equal to the applied force
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Solution
An object at rest has no net force acting on it, according to Newton's first law.
Correct Answer: A — Zero
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Q. What is the number of significant figures in 0.0001230?
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Solution
The significant figures are 1, 2, 3, and the trailing zero counts.
Correct Answer: C — 5
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Q. What is the number of significant figures in the measurement 0.00456?
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Solution
The significant figures are 4, 5, and 6. Leading zeros are not counted.
Correct Answer: B — 3
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Q. What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)
A.
1 kHz
B.
2 kHz
C.
500 Hz
D.
4 kHz
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Solution
Nyquist rate = 2 * f_max = 2 * 1000 Hz = 2000 Hz = 2 kHz.
Correct Answer: B — 2 kHz
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Q. What is the Nyquist rate for a signal with a maximum frequency of 5 kHz?
A.
5 kHz
B.
10 kHz
C.
15 kHz
D.
20 kHz
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Solution
Nyquist rate = 2 * f_max = 2 * 5 kHz = 10 kHz.
Correct Answer: B — 10 kHz
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Q. What is the Nyquist rate in a communication system?
A.
The minimum sampling rate to avoid aliasing
B.
The maximum data rate achievable
C.
The frequency of the carrier wave
D.
The bandwidth of the communication channel
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Solution
The Nyquist rate is the minimum sampling rate required to avoid aliasing, which is twice the highest frequency of the signal.
Correct Answer: A — The minimum sampling rate to avoid aliasing
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Q. What is the Nyquist rate in communication systems?
A.
The minimum sampling rate to avoid aliasing
B.
The maximum frequency of the signal
C.
The bandwidth of the communication channel
D.
The maximum data rate of a channel
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Solution
The Nyquist rate is the minimum sampling rate required to avoid aliasing, which is twice the maximum frequency of the signal.
Correct Answer: A — The minimum sampling rate to avoid aliasing
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Q. What is the Nyquist rate in the context of signal sampling?
A.
The minimum sampling rate to avoid aliasing
B.
The maximum frequency of the signal
C.
The bandwidth of the signal
D.
The average power of the signal
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Solution
The Nyquist rate is defined as twice the maximum frequency of the signal, which is the minimum sampling rate required to avoid aliasing.
Correct Answer: A — The minimum sampling rate to avoid aliasing
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Q. What is the Nyquist rate?
A.
The minimum sampling rate to avoid aliasing
B.
The maximum frequency of a signal
C.
The bandwidth of a communication channel
D.
The rate of data transmission in a channel
Show solution
Solution
The Nyquist rate is the minimum sampling rate required to avoid aliasing, which is twice the maximum frequency of the signal.
Correct Answer: A — The minimum sampling rate to avoid aliasing
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Q. What is the orbital speed of a satellite in a circular orbit at a height h above the Earth's surface?
A.
sqrt(GM/R^2)
B.
sqrt(GM/(R+h)^2)
C.
sqrt(GM/(R-h)^2)
D.
sqrt(GM/R)
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Solution
The orbital speed v of a satellite in a circular orbit is given by v = sqrt(GM/(R+h)^2), where G is the gravitational constant, M is the mass of the Earth, R is the radius of the Earth, and h is the height of the satellite above the Earth's surface.
Correct Answer: B — sqrt(GM/(R+h)^2)
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Q. What is the orbital speed of a satellite in a low Earth orbit (LEO) approximately 2000 km above the Earth's surface? (2000)
A.
7.9 km/s
B.
11.2 km/s
C.
5.0 km/s
D.
3.0 km/s
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Solution
The orbital speed of a satellite in low Earth orbit is approximately 7.9 km/s.
Correct Answer: A — 7.9 km/s
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Q. What is the order of the first bright fringe in a single-slit diffraction pattern?
A.
m = 0
B.
m = 1
C.
m = 2
D.
m = 3
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Solution
In single-slit diffraction, the central maximum corresponds to m = 0, which is the first bright fringe.
Correct Answer: A — m = 0
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Q. What is the output of a NAND gate when both inputs are high?
A.
0
B.
1
C.
Undefined
D.
Depends on the circuit
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Solution
A NAND gate outputs 0 only when both inputs are 1. Therefore, if both inputs are high (1), the output is 0.
Correct Answer: A — 0
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Q. What is the output of a NAND gate when both inputs are true?
A.
True
B.
False
C.
Undefined
D.
Depends on the circuit
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Solution
A NAND gate outputs false when both inputs are true.
Correct Answer: B — False
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Q. What is the output of a NOR gate when both inputs are false?
A.
True
B.
False
C.
Both true
D.
Both false
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Solution
A NOR gate outputs true when both inputs are false.
Correct Answer: A — True
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Q. What is the output of a NOR gate when both inputs are low?
A.
0
B.
1
C.
Undefined
D.
Depends on the circuit
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Solution
A NOR gate outputs 1 only when both inputs are 0. Therefore, if both inputs are low (0), the output is 1.
Correct Answer: B — 1
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Q. What is the output of a NOT gate when the input is 0?
A.
0
B.
1
C.
Undefined
D.
Depends on the circuit
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Solution
A NOT gate inverts the input. Therefore, NOT 0 = 1.
Correct Answer: B — 1
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Q. What is the output of a NOT gate when the input is true?
A.
True
B.
False
C.
Both True and False
D.
Undefined
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Solution
A NOT gate outputs false when the input is true.
Correct Answer: B — False
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Q. What is the output of an AND gate with inputs 0 and 1?
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Solution
An AND gate outputs 1 only when both inputs are 1. Since one input is 0, the output is 0.
Correct Answer: A — 0
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Q. What is the output of an AND gate with inputs A = 0 and B = 0?
A.
0
B.
1
C.
2
D.
Undefined
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Solution
An AND gate outputs 1 only when both inputs are high. Since both A and B are 0, the output is 0.
Correct Answer: A — 0
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Q. What is the output of an AND gate with inputs A = 0 and B = 1?
A.
0
B.
1
C.
2
D.
Undefined
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Solution
An AND gate outputs 1 only when both inputs are high. Since A = 0, the output is 0.
Correct Answer: A — 0
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Q. What is the output of an OR gate if one input is false and the other is true?
A.
True
B.
False
C.
Both True
D.
Both False
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Solution
An OR gate outputs true if at least one input is true.
Correct Answer: A — True
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Q. What is the output of an OR gate when both inputs are low?
A.
0
B.
1
C.
2
D.
Undefined
Show solution
Solution
An OR gate outputs 0 only when both inputs are low. Therefore, the output is 0.
Correct Answer: A — 0
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Q. What is the output of an XOR gate when both inputs are the same?
A.
True
B.
False
C.
Both True and False
D.
Undefined
Show solution
Solution
An XOR gate outputs false when both inputs are the same.
Correct Answer: B — False
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