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If the length of the filament of a heater is reduced by 10% the power of the heater will
- a)increase by about 11%
- b)increase by about 19%
- c)decrease by about 29%
- d)Increase by about 9%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the length of the filament of a heater is reduced by10%the power of...
Power P= V2/R
If length is reduced by 10% then, new resistance of filament will be R′.
R′ = R−10% of R
R′ = 0.9R
Now new power of heater is P2
P2 = V2/R′ = V2/0.9R = 1.1 P
% increase powe r = 11%
If length is reduced by 10% then, new resistance of filament will be R′.
R′ = R−10% of R
R′ = 0.9R
Now new power of heater is P2
P2 = V2/R′ = V2/0.9R = 1.1 P
% increase powe r = 11%
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If the length of the filament of a heater is reduced by10%the power of...
Understanding Heater Power and Filament Length
When the length of a filament in a heater is reduced, its resistance changes, which in turn affects the power output of the heater.
Key Concepts
- Ohm's Law: The relationship between voltage (V), current (I), and resistance (R) is given by V = IR.
- Power Formula: The power (P) of the heater can be expressed as P = V² / R.
Effects of Reducing Filament Length
- Resistance Change:
- The resistance (R) of a conductor is directly proportional to its length (L).
- If the length of the filament is reduced by 10%, the new length is 90% of the original length (L' = 0.9L).
- Consequently, the resistance decreases by 10%.
- New Resistance Calculation:
- Original resistance (R) will reduce to R' = 0.9R.
Power Calculation
- Original Power:
- P = V² / R.
- New Power:
- P' = V² / R' = V² / (0.9R) = (V² / R) * (1 / 0.9) = P * (1 / 0.9).
- Power Increase:
- This results in P' ≈ 1.111P, indicating an increase of about 11%.
Conclusion
Thus, reducing the filament length by 10% increases the power of the heater by approximately 11%, confirming that the correct answer is option 'A'.
When the length of a filament in a heater is reduced, its resistance changes, which in turn affects the power output of the heater.
Key Concepts
- Ohm's Law: The relationship between voltage (V), current (I), and resistance (R) is given by V = IR.
- Power Formula: The power (P) of the heater can be expressed as P = V² / R.
Effects of Reducing Filament Length
- Resistance Change:
- The resistance (R) of a conductor is directly proportional to its length (L).
- If the length of the filament is reduced by 10%, the new length is 90% of the original length (L' = 0.9L).
- Consequently, the resistance decreases by 10%.
- New Resistance Calculation:
- Original resistance (R) will reduce to R' = 0.9R.
Power Calculation
- Original Power:
- P = V² / R.
- New Power:
- P' = V² / R' = V² / (0.9R) = (V² / R) * (1 / 0.9) = P * (1 / 0.9).
- Power Increase:
- This results in P' ≈ 1.111P, indicating an increase of about 11%.
Conclusion
Thus, reducing the filament length by 10% increases the power of the heater by approximately 11%, confirming that the correct answer is option 'A'.
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If the length of the filament of a heater is reduced by10%the power of the heater willa)increase by about 11%b)increase by about 19%c)decrease by about 29%d)Increase by about 9%Correct answer is option 'A'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If the length of the filament of a heater is reduced by10%the power of the heater willa)increase by about 11%b)increase by about 19%c)decrease by about 29%d)Increase by about 9%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of the filament of a heater is reduced by10%the power of the heater willa)increase by about 11%b)increase by about 19%c)decrease by about 29%d)Increase by about 9%Correct answer is option 'A'. Can you explain this answer?.
If the length of the filament of a heater is reduced by10%the power of the heater willa)increase by about 11%b)increase by about 19%c)decrease by about 29%d)Increase by about 9%Correct answer is option 'A'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If the length of the filament of a heater is reduced by10%the power of the heater willa)increase by about 11%b)increase by about 19%c)decrease by about 29%d)Increase by about 9%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of the filament of a heater is reduced by10%the power of the heater willa)increase by about 11%b)increase by about 19%c)decrease by about 29%d)Increase by about 9%Correct answer is option 'A'. Can you explain this answer?.
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