Answer:A
Explanation:
In R-L circuit current is given by
![i=i_0\left [ 1-e^{\frac{-t}{L/R}}\right ]](https://tex.z-dn.net/?f=i%3Di_0%5Cleft%20%5B%201-e%5E%7B%5Cfrac%7B-t%7D%7BL%2FR%7D%7D%5Cright%20%5D)
where i=current at any time t

R=resistance
L=Inductance
at t=0
approaches to 1
therefore ![i=i_0\left [ 1-1\right ]](https://tex.z-dn.net/?f=i%3Di_0%5Cleft%20%5B%201-1%5Cright%20%5D)
i=0
when t approaches to
,
approaches to zero
thus 
thus we can say that initially circuit act as broken wire with zero current
and it increases exponentially with time and act as ordinary connecting wire
Answer:
a. I = 30 A
b. E = 1080000 J = 1080 KJ
c. ΔT = 12.86°C
d. Cost = $ 4.32
Explanation:
a.
The current in the coil is given by Ohm's Law:

where,
I = current = ?
V = Voltage = 120 V
R = Resistance = 4 Ω
Therefore,

<u>I = 30 A</u>
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b.
The energy can be calculated as:

<u>E = 1080000 J = 1080 KJ</u>
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c.
For the increase in the temperature of water:

where,
m = mass of water = 20 kg
C = specific heat of water = 4.2 KJ/kg.°C
Therefore,

<u>ΔT = 12.86°C</u>
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d.
First, we will calculate the total energy consumed:

Now, for the cost:

<u>Cost = $ 4.32</u>
Speed with which initially car is moving is 21 m/s
Reaction time = 0.50 s
distance traveled in the reaction time d = v t
d = 21 * 0.50 = 10.5 m
deceleration after this time = -10 m/s^2
now the distance traveled by the car after applying bakes



so total distance moved before it stop
d = 22.05 + 10.5 = 32.55 m
so the distance from deer is 35 - 32.55 = 2.45 m
now to find the maximum speed with we can move we will assume that we will just touch the deer when we stop
so our distance after brakes are applied is d = 35 - 10.5 = 24.5 m
again by kinematics



so maximum speed would be 22.1 m/s
Answer:
The correct option is;
B) The specific heat of ice is less than that of water.
Explanation:
Here we have
Let the amount of energy added to the ice at -10 C to raise the temperature to -5 C be X J
Let the amount of energy added to the water at 15 C to raise the temperature to 20 C be Y J
We know that the heat required, ΔQ to raise the temperature of a substance is given by
ΔQ = m·c·Δθ
Where:
m = Mass of the substance
c = Specific heat capacity
Δθ = Temperature change
Since the mass of the ice and the water are the same, so also is the change in temperature, (-5 - (-10) = 5 and 20 - 15 = 5) we have
for m₂·c₂·Δθ₂ > m₁·c₁·Δθ₁
Where:
m₁, c₁, Δθ₁, is for the ice and m₂, c₂, Δθ₂ is for the water and
m₁ = m₂
Δθ₁ = Δθ₂
Therefore,
c₂ > c₁ = c₁ < c₂
That is the specific heat capacity of the ice is lesser than the specific heat capacity of the water.