Answer:
b. Decreases
Explanation:
The total resistance of a series circuit is equal to the sum of the individual resistances:
(1)
Therefore, as we add more lamps, the total resistance increases (because we add more positive tems in the sum in eq.(1).
The current in a circuit is given by Ohm's law:

where V is the voltage provided by the power source and
is the total resistance. We notice that the current, I, is inversely proportional to the total resistance: therefore, when more lamps are added to the series circuit, the total resistance increases, and therefore the current in the circuit decreases.
Answer:
3. Kinetic energy of the system is maximum when potential energy is minimum.
Explanation:
Given that
Mass of block= m
Spring constant =K
Table is friction less.
As we know that in oscillatory motion ,when kinetic energy is maximum then potential energy will become minimum.
At the mean position:
Kinetic energy is maximum.
Potential energy is minimum.
At the extreme position:
Kinetic energy is minimum.
Potential energy is maximum.
At the mean position velocity of block will be maximum that is why it have maximum kinetic energy and at the extreme position the velocity of block will be minimum that is why it have minimum kinetic energy.
So from above we can say that kinetic energy of the system is maximum when potential energy is minimum.
To develop this problem it is necessary to use the expression that allows us to convert the degrees Celsius to Fahrenheit. The expression that allows to realize it is given mathematically by:

In this way for 33.2 °C:



In this way for 38.2°C



Expressed in a range term, we can say that the measure in degrees Fahrenheit is:
![[91.76\° F , 100.76\° F]](https://tex.z-dn.net/?f=%5B91.76%5C%C2%B0%20F%20%2C%20100.76%5C%C2%B0%20F%5D)
m = mass of the person = 80 kg
M = mass of earth = 5.98 x 10²⁴ kg
R = radius of earth = 6.37 x 10⁶ m
h = height above the earth's surface = 1400 km = 1.4 x 10⁶ m
r₁ = initial distance of the person from the center of earth when on surface = R = 6.37 x 10⁶ m
r₂ = final distance of the person from the center of earth when at some height = R + h = 6.37 x 10⁶ + 1.4 x 10⁶ = 7.77 x 10⁶ m
F₁ = Gravitational force of earth on the person when at surface
Gravitational force of earth on the person when at surface is given as
F₁ = G M m/r₁² eq-1
F₂ = Gravitational force of earth on the person when at some height
Gravitational force of earth on the person when at some height is given as
F₂ = G M m/r₂² eq-2
dividing eq-1 by eq-2
F₁ /F₂ = (G M m/r₁² )/(G M m/r₂²)
F₁ /F₂ = r₂²/r₁²
inserting the values
F₁ /F₂ = (7.77 x 10⁶)²/(6.37 x 10⁶)²
F₁ /F₂ = 1.49