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Two heaters A (500 W, 220 V) and B (1000 W, 220 V) are connected in parallel to 220 V. Which heater produces more heat
  • a)
    heater A
  • b)
    heater B
  • c)
    heater A and heater B produce same heat
  • d)
    both heaters produce no heat
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two heaters A (500 W, 220 V) and B (1000 W, 220 V) are connected in pa...
As P = V x i = i2 R = V2/R
 R for heater A
RA = V2/P = (200)2 /500 = 96.8Ω
R for heater B
RB = V2/P = (200)2 /1000 = 48.4Ω
⇒ RA >RB
When two heaters are connected in parallel, voltage remains same for two resisters and power is calculated using the following formula:
P = V2/R
⇒ PA <PB
Therefore, power dissipation is small in heater A as compare to heater B.
Heat generated H = P × t, where t is time in seconds.
⇒ HA <HB
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Most Upvoted Answer
Two heaters A (500 W, 220 V) and B (1000 W, 220 V) are connected in pa...
Parallel Connection:
In a parallel connection, the devices are connected across the same voltage source. The voltage across each device is the same, but the current flowing through each device may vary.

Power Calculation:
The power consumed by an electrical device can be calculated using the formula:

Power = Voltage * Current

Heater A:
Power of heater A = 500 W
Voltage across heater A = 220 V

Using the power formula, we can calculate the current flowing through heater A:

Current = Power / Voltage = 500 W / 220 V = 2.27 A

Heater B:
Power of heater B = 1000 W
Voltage across heater B = 220 V

Using the power formula, we can calculate the current flowing through heater B:

Current = Power / Voltage = 1000 W / 220 V = 4.55 A

Comparison:
Since the voltage across both heaters is the same, the power produced by each heater is directly proportional to the current flowing through it.

In this case, the current flowing through heater B (4.55 A) is higher than the current flowing through heater A (2.27 A). Therefore, heater B produces more heat compared to heater A.

Conclusion:
The correct answer is option 'B' - heater B produces more heat.
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Read the following text and answer the following questions on the basis of the same:In one of his experiments on interference, August Jean Fresnel used a biprism to induce interference between two beams. He split a diverging beam of light into two parts by using the biprism to refract them. This resulted in two split beams which acted as if they were from two coherent sources and which therefore interfered with each other.A Fresnel Biprism is a thin double prism placed base to base and have very small refracting angle ( 0.5°). This is equivalent to a single prism with one of its angle nearly 179° and other two of 0.5° each.In Young’s double Slits experiment, a single source is split in two coherent sources. For the Young’s slits experiment, we must approximate that the slits act as point sources. This however is not the case, since the slits have finite width. In this way, it gives rise to unwanted diffraction effects that causes errors.The Fresnel biprism experiment overcomes this problem.A Fresnel biprism is a variation of Young’s Slits experiment. When monochromatic light through a narrow slit falls on biprism that divides it into two components. One of these component is refracted from upper portion of biprism and the other one refracted through lower portion. Two virtual coherent sources formed from the original source. In this case, two virtual coherent sources are point sources and replace slits in Young’s experiment.Q. What is the difference between the coherent sources produced by Young’s double slit arrangement and Fresnel biprism?

Two heaters A (500 W, 220 V) and B (1000 W, 220 V) are connected in parallel to 220 V. Which heater produces more heata)heater Ab)heater Bc)heater A and heater B produce same heatd)both heaters produce no heatCorrect answer is option 'B'. Can you explain this answer?
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