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VITEEE 2010 Solved Paper
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© examsnet.com
Question : 28
Total: 120
There are a 25W - 220V bulb and a 100W - 220V line. Which electric bulb will glow more brightly?
25W bulb
100W bulb
Both will have equal incadescene
Neither 25W nor 100W bulb will give light
Validate
Solution:
Power,
P
=
V
2
R
,
⇒
R
=
V
2
P
For the first bulb,
R
1
=
(
V
2
P
1
)
=
(
(
220
)
2
25
)
=
1936
Ω
For the second bulb,
R
2
=
(
V
2
P
2
)
=
(
(
220
)
2
100
)
=
48
Ω
Current in series combination is the same in the two bulbs,
i
=
V
R
1
+
R
2
=
220
1936
+
484
=
220
2420
=
1
11
A
If the actual powers in the two bulbs be
P
1
and
P
2
then
P
′
1
=
i
2
R
1
=
(
1
11
)
2
×
1936
=
16
W
P
′
2
=
i
2
R
2
=
(
1
11
)
2
×
484
=
4
W
Since
P
′
1
>
P
′
2
,
so, 25 W bulb will glow more brightly.
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