Answer:
B) approaches infinity
Explanation:
The capacitive reactance of an AC capacitor is given by;

Where;
C is the capacitance
f is the frequency of the ac voltage

Therefore, as the frequency of the ac voltage across a capacitor approaches zero, the capacitive reactance of that capacitor approaches infinity.
The correct option is (B) approaches infinity
Answer: 86.47 g of carbon-14 must have been present in the sample 11,430 years ago.
Explanation:
Half-life of sample of carbon -14= 5,730 days

Let the sample present 11,430 years(t) ago = 
Sample left till today ,N= 0.060 g

![ln[N]=ln[N]_o-\lambda t](https://tex.z-dn.net/?f=ln%5BN%5D%3Dln%5BN%5D_o-%5Clambda%20t)
![\log[0.060 g]=\log[N_o]-2.303\times 0.00012 day^{-1}\times 11,430 days](https://tex.z-dn.net/?f=%5Clog%5B0.060%20g%5D%3D%5Clog%5BN_o%5D-2.303%5Ctimes%200.00012%20day%5E%7B-1%7D%5Ctimes%2011%2C430%20days)
![\log[N_o]=1.9369](https://tex.z-dn.net/?f=%5Clog%5BN_o%5D%3D1.9369)

86.47 g of carbon-14 must have been present in the sample 11,430 years ago.
Answer:
9.412 rad/s.
Explanation:
Velocity is the rate of change of an object's position.
V = x/t
Where x is the distance in m
= 2.4 m
t is time taken in s
= 8.5 s
V = 2.4/8.5
= 0.2824 m/s.
Equating linear velocity and angular velocity,
V = ω*r
Where,
ω Is the angular speed in rad/s
r is the radius of the circle in m
= 3 cm
= 3cm * 1m/100 cm = 0.03 m
ω = V/r
= 0.2824/0.03
= 9.412 rad/s.
Answer:
B. Nuclear to Electrical
Explanation:
Atoms are split at power plants to create electricity. The energy conversion in this process is from nuclear to electrical energy.
- When atoms are split, nuclear energy is released.
- Some part of the mass of the atom is converted to energy.
- The nuclear energy released is expressed as heat energy.
- This energy is used to heat water in boilers when produces steam that are used to drive the movement of turbines.
- This in turn generates electricity.