Answer:
B = 1058.4 N
Explanation:
Given that,
The volume of a metal block, V = 0.09 m³
The density of fluid, d = 1200 kg/m³
We need to find the buoyant force when it's Completely immersed in brine. The formula for the buoyant force is given by :

g is acceleration due to gravity

So, the required buoyant force is 1058.4 N.
Answer:
(a) E= 3.36×10−2 V +( 3.30×10−4 V/s3 )t3
(b) 
Explanation:
Given:
- radius if the coil,

- no. of turns in the coil,

- variation of the magnetic field in the coil,

- resistor connected to the coil,

(a)
we know, according to Faraday's Law:

where:
change in associated magnetic flux

where:
A= area enclosed by the coil
Here




So, emf:
![emf= 520\times \frac{d}{dt} [((1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)\times 0.0049]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%28%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5Ctimes%200.0049%5D)
![emf= 520\times 0.0049\times \frac{d}{dt} [(1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%200.0049%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5D)
![emf= 2.548\times [0.012+(13.8\times 10^{-5})t^3)]](https://tex.z-dn.net/?f=emf%3D%202.548%5Ctimes%20%5B0.012%2B%2813.8%5Ctimes%2010%5E%7B-5%7D%29t%5E3%29%5D)

(b)
Given:

Now, emf at given time:

∴Current



Answer:
i) 60 W
ii) 100 W
Explanation:
In each case, the bulb that dissipates the most power is the bulb that glows brighter. Power is voltage times current (P = VI). Using Ohm's law, we can rewrite this as P = I²R or P = V²/R.
Bulbs are rated at a certain power for a certain voltage. P = V²/R, so the bulb with the lower resistance will have the higher power rating. Therefore, the 100 W bulb has a lower resistance than the 60 W bulb.
i) They are in series, so they have the same current. P = I²R, so the bulb with the higher resistance will glow brighter. That's the 60 W bulb.
ii) They are in parallel, so they have the same voltage. P = V²/R, so the bulb with the lower resistance will glow brighter. That's the 100 W bulb.