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An illumination of 25 lux is to be produced on the floor of a room 12m ×9m,18 Lamps are required to produce this illumination in the room, if 50% of the emitted light falls on the floor. What is power of the Lamp in Candela? (Assume maintenance factor =1)
- a)20 Candela
- b)24 Candela
- c)28 Candela
- d)32 Candela
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An illumination of25lux is to be produced on the floor of a room12m &t...
Given,
E = 25 lux,
Area (A) = (12×9)m2 = 108m2
N = 18 Lamps
UF = 0.5
MF = 1
We know that,
∴ Lumen output
Thus, power of the lamp in Candela = 300/4π = 24 Candela.
E = 25 lux,
Area (A) = (12×9)m2 = 108m2
N = 18 Lamps
UF = 0.5
MF = 1
We know that,
∴ Lumen output
Thus, power of the lamp in Candela = 300/4π = 24 Candela.
Most Upvoted Answer
An illumination of25lux is to be produced on the floor of a room12m &t...
Given Data:
- Illumination required on the floor = 25 lux
- Area of the room = 12m x 9m
- Number of lamps required = 18
- Percentage of emitted light falling on the floor = 50%
- Maintenance factor = 1
Calculations:
1. Total area of the room = 12m x 9m = 108m²
2. Total illuminance required = 25 lux
3. Total luminous flux required on the floor = Total illuminance x Total area = 25 lux x 108m² = 2700 lumens
4. Since 50% of the emitted light falls on the floor, the total luminous flux emitted by the lamps = 2700 lumens / 0.5 = 5400 lumens
5. Power of each lamp = Total luminous flux emitted by all lamps / Number of lamps = 5400 lumens / 18 = 300 lumens per lamp
Conversion:
To convert lumens to candelas, we need to consider the solid angle. Assuming the light is emitted uniformly in all directions, the solid angle is 4π steradians. Therefore, 1 lumen = 1 candela.
Final Answer:
The power of the lamp in candelas is 300 candelas, which is equivalent to 300 lumens. Therefore, the correct answer is option B) 24 Candela.
- Illumination required on the floor = 25 lux
- Area of the room = 12m x 9m
- Number of lamps required = 18
- Percentage of emitted light falling on the floor = 50%
- Maintenance factor = 1
Calculations:
1. Total area of the room = 12m x 9m = 108m²
2. Total illuminance required = 25 lux
3. Total luminous flux required on the floor = Total illuminance x Total area = 25 lux x 108m² = 2700 lumens
4. Since 50% of the emitted light falls on the floor, the total luminous flux emitted by the lamps = 2700 lumens / 0.5 = 5400 lumens
5. Power of each lamp = Total luminous flux emitted by all lamps / Number of lamps = 5400 lumens / 18 = 300 lumens per lamp
Conversion:
To convert lumens to candelas, we need to consider the solid angle. Assuming the light is emitted uniformly in all directions, the solid angle is 4π steradians. Therefore, 1 lumen = 1 candela.
Final Answer:
The power of the lamp in candelas is 300 candelas, which is equivalent to 300 lumens. Therefore, the correct answer is option B) 24 Candela.
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An illumination of25lux is to be produced on the floor of a room12m ×9m,18Lamps are required to produce this illumination in the room, if50%of the emitted light falls on the floor. What is power of the Lamp in Candela? (Assume maintenance factor=1)a)20Candelab)24Candelac)28Candelad)32CandelaCorrect answer is option 'B'. Can you explain this answer?
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