Work, Energy & Power
Q. What is the value of 2^5 × 2^3?
A.
2^8
B.
2^15
C.
2^2
D.
2^5
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Solution
Using the property of exponents, a^m × a^n = a^(m+n), we get 2^(5+3) = 2^8.
Correct Answer: A — 2^8
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Q. What is the value of 2^5?
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Q. What is the value of 3^(2x) if x = 1?
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Solution
3^(2*1) = 3^2 = 9.
Correct Answer: C — 9
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Q. What is the value of 3^0?
A.
0
B.
1
C.
3
D.
undefined
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Solution
Any non-zero number raised to the power of 0 is 1.
Correct Answer: B — 1
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Q. What is the value of 4^(x) if x = 3?
A.
16
B.
64
C.
256
D.
1024
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Solution
4^3 = (2^2)^3 = 2^6 = 64.
Correct Answer: C — 256
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Q. What is the value of 4^0?
A.
0
B.
1
C.
4
D.
undefined
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Solution
Any non-zero number raised to the power of 0 is 1.
Correct Answer: B — 1
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Q. What is the value of 5^2 * 5^3?
A.
5^5
B.
5^6
C.
5^7
D.
5^8
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Solution
Using the property of exponents, 5^2 * 5^3 = 5^(2+3) = 5^5.
Correct Answer: A — 5^5
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Q. What is the value of 7^0?
A.
0
B.
1
C.
7
D.
undefined
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Solution
Any non-zero number raised to the power of 0 is 1.
Correct Answer: B — 1
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Q. What is the value of 9^(1/2)?
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Solution
9^(1/2) = √9 = 3.
Correct Answer: C — 3
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Q. What is the value of log_3(27)?
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Solution
Since 27 = 3^3, log_3(27) = 3.
Correct Answer: B — 3
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Q. Which of the following is NOT a unit of power?
A.
Horsepower
B.
Kilowatt
C.
Joule
D.
Watt
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Solution
Joule is a unit of energy, not power. Power is measured in Watts, Kilowatts, and Horsepower.
Correct Answer: C — Joule
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Q. Which of the following statements about power is true?
A.
Power is always conserved
B.
Power can be negative
C.
Power is independent of time
D.
Power is a scalar quantity
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Solution
Power can be negative when work is done against the direction of motion, such as in friction. Therefore, the correct statement is that power can be negative.
Correct Answer: B — Power can be negative
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