3 [100 ] [ 0]
KA KA
T T
300 3 T T 300 4T
300
75
4
T C
As temperature of copper decreases its entropy
also decreases. As heat is taken by the pond so its
entropy increases. But
Spond SCu
Suniverse Spond SCu 0
The power genetated through the wire is equal
to the energy loss through radiation.
(^22) (^2) 4
L
I e rL T
r
2
4
2 2 3
I
T
r e
So T is independent on L.
Heat capacity is more at high temperature so for
a given amount of heat the charge in temperature
is small for the body at high temperature.
Let C (^1) avg and C (^2) avg are the heat capacities at lower
and higher temperatures.
C T (^1) avg 0 C T (^2) avg 100 0
avg
avg
2
1
1
100
C T
C T
T 100 T T 50 c
Let T be the temperature at the junction.
(^50) (^100) (^400) (^0)
0.1 0.2
A T A T
(^) T 20 C
Let T is the temperature of the black body
The rate of radiation emitted by the body is
(^4) 1
dQ
e AT e
dt
The total radiation energy supplied by it in five
minutes is e AT^45
e AT^45 mc T
(^)
4
1 1
4
2 2
AT i C
A T T
Given that 2 1 , 2 2 1
2
A
A T T
T 8 C Tf 18 C
(^) P AT ^44 R T^24
4
2
' 4 2
2
T
P R
'
4
P
P
The general equation of a progressive wave is
y A kx t sin( )
v f
100 1
500 5
m
At t s y0 , 0.02 at x0.25
2 1
0.02 sin.
4
y A
(at t s 0 )
5
0.02 sin
2
y A
A 0.02m
y 0.02sin(kx t)
0.02sin(10 0.2 1000 5 10 ] ^4
0.02sin[2 0.5 ]
3
0.02sin 0.02
2
m
The intensities on the two scales are shown in
the graph.
3.Sol:
4.Sol:
5.Sol:
6.Sol:
7.Sol:
8.Sol:
Waves on String
1.Sol:
Sound WavesWaves
1.Sol:
From the graph it can be found that at 5 KHZ the
intensity in decibles is
60 20
40
9 5 5 1
x x
x dB