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The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units?
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Problem: The power of a motor is 200W. If the unit of length is halved, that of mass is doubled and that of time is also doubled, the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units?
Solution:
To solve the problem, we need to use the concept of dimensional analysis. Let's assume that the new units of length, mass, and time are L', M', and T', respectively. According to the problem statement:
- The unit of length is halved, i.e., L' = L/2
- The unit of mass is doubled, i.e., M' = 2M
- The unit of time is doubled, i.e., T' = 2T
Now, let's express the power in terms of the new units:
P' = (ML²T⁻³)' = M'L'^2T'^⁻³ = (2M)(L/2)²(2T)⁻³ = (M/2)(L²/T³)
We can see that the power in the new system of units is (M/2)(L²/T³). To get the numerical value of the power, we need to substitute the given values:
P' = (1/2)(200)(0.5)²/(2²) = 12.5 W
Therefore, the power of the motor in the new system of units is 12.5 W, which corresponds to option (2).
Answer: The power of the motor in the new system of units is 12.5 W.
Solution:
To solve the problem, we need to use the concept of dimensional analysis. Let's assume that the new units of length, mass, and time are L', M', and T', respectively. According to the problem statement:
- The unit of length is halved, i.e., L' = L/2
- The unit of mass is doubled, i.e., M' = 2M
- The unit of time is doubled, i.e., T' = 2T
Now, let's express the power in terms of the new units:
P' = (ML²T⁻³)' = M'L'^2T'^⁻³ = (2M)(L/2)²(2T)⁻³ = (M/2)(L²/T³)
We can see that the power in the new system of units is (M/2)(L²/T³). To get the numerical value of the power, we need to substitute the given values:
P' = (1/2)(200)(0.5)²/(2²) = 12.5 W
Therefore, the power of the motor in the new system of units is 12.5 W, which corresponds to option (2).
Answer: The power of the motor in the new system of units is 12.5 W.
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The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units?
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The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units?.
The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The power of a motor is 200W . If the unit of length is halved , that of mass is doubled and that of time is also doubled , the power of the motor in the new system of units is (1) 3200 W (2) 12.5 W (3) 12.5 new units (4) 3200 new units?.
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