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Chapter 4: Problem 5

The unit of power is (A) Kilowatt (B) Kilowatt-hour (C) Dyne (D) Joule

Short Answer

Expert verified
The correct unit of power is (A) Kilowatt.

Step by step solution

01

Understanding the basic concepts

Power is the rate at which work is done or the rate at which energy is transferred. The formula for Power (P) is given by: P = Work/ Time = Energy/ Time Now, we will analyze each option to see if it matches the formula and represents power's unit.
02

Analyzing Option A: Kilowatt

Kilowatt (kW) is a unit of power in the International System of Units (SI). One kilowatt is defined as one thousand watts, where watt (W) is a derived unit of power and is equal to joule per second (J/s). 1 kW = 1000 W = 1000 J/s
03

Analyzing Option B: Kilowatt-hour

Kilowatt-hour (kWh) is a unit of energy. It is commonly used to measure the energy consumption of electrical appliances. One kilowatt-hour represents the amount of energy consumed by a 1000-watt appliance running for one hour. 1 kWh = 1 kW * 1 hr = 1000 W * 3600 s = 3,600,000 J
04

Analyzing Option C: Dyne

Dyne is a unit of force in the centimeter-gram-second (CGS) system of units. It is not a relevant unit for power measurement as it is related to force and not energy or work.
05

Analyzing Option D: Joule

Joule (J) is a unit of energy or work in the International System of Units (SI). It is used to represent the energy transferred to an object when a force of one newton acts upon it to move it one meter. 1 J = 1 N * 1 m
06

Identifying the correct answer

After analyzing all the options, it is clear that Option A: Kilowatt (kW) is the correct unit of power, as it matches the formula and concept of power - the rate of energy transfer or work done. So, the correct answer is: (A) Kilowatt

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Most popular questions from this chapter

A block of mass \(2 \mathrm{~kg}\) is lifted through a chain. When block moves through \(2 \mathrm{~m}\) vertically the velocity becomes \(4 \mathrm{~m} / \mathrm{s}\). Work done by chain force until it moves \(2 \mathrm{~m}\) is \(\left(g=10 \mathrm{~ms}^{-2}\right)\) (A) \(40 \mathrm{~J}\) (B) \(24 \mathrm{~J}\) (C) \(56 \mathrm{~J}\) (D) None of these

A uniform chain of length \(2 \mathrm{~m}\) is kept on a table such that a length of \(60 \mathrm{~cm}\) hangs freely from the edge of the table. The total mass of the chain is \(4 \mathrm{~kg}\). What is the work done in pulling the entire chain on the table? (A) \(12 \mathrm{~J}\) (B) \(3.6 \mathrm{~J}\) (C) \(7.2 \mathrm{~J}\) (D) \(1200 \mathrm{~J}\)

A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time \(t\) is proportional to (A) \(t^{3 / 4}\) (B) \(t^{3 / 2}\) (C) \(t^{1 / 4}\) (D) \(t^{1 / 2}\)

A particle projected with an initial velocity \(u\) at angle \(\theta\) from the ground. The work done by gravity during the time it reaches the highest point \(P\) is: (A) \(\frac{-m u^{2} \sin ^{2} \theta}{2}\) (B) \(+\frac{m u^{2} \sin ^{2} \theta}{2}\) (C) 0 (D) \(+m u^{2} \sin \theta\)

A block of mass \(m\) is placed on an another rough block of mass \(M\) and both are moving horizontally with same acceleration \(a\) due to a force which is applied on the lower block, then work done by lower block on the upper block in moving a distance \(s\) will be (A) Mas (B) \((m+M) a s\) (C) \(\frac{M^{2}}{m} a s\) (D) \(m{\text { mas }}\)
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