Answer:
Explanation:
Energy stored in a solenoid per unit volume = B₀² / (2μ₀)
B₀= μ₀ n I₀
n is no of turns per unit length .
Energy stored in a solenoid per unit volume = ( μ₀ n I₀)² / (2μ₀)
=μ₀n²I₀²/2
n = 40 turns / cm = 40 x 100 turns per meter.
I₀ = 5000A .
Putting the values
Energy stored in a solenoid per unit volume
= 4π x 10⁻⁷ x 40 x 10² x 5000² /2
= 1256 J/ m³
Volume of solenoid = cross sectional area x length
= 28 x 10⁻⁴ x .10 = 2.8 x 10⁻⁴ m³
Total energy stored = 1256 J / m³ x 2.8 x 10⁻⁴ m³
= .35 J .
Answer:
Density of water is 1 g/cm³.
Explanation:
Given:
Mass of given volume of water is, 
Volume of the given amount of water is, 
We know that, density of a quantity is given as the ratio of its mass to that of its volume.
Here, in order to calculate density of water, we need to divide the mass of water by its volume. Therefore,

Plug in 10 g for 'm', 10 cm³ for 'V and solve for density. This gives,

Therefore, the density of water of mass 10 g and volume 10 cm³ is 1 g/cm³.
Explanation :
It is given that an oscillator makes 360 oscillations in 3 minutes.
(a) Using unitary method :
No. of vibrations in one minute is, 
So, no of vibrations in one minute is 120.
(b) Similarly,
3 minutes = 180 seconds
No of vibrations in one second is 
So, the no of vibrations in one second is 2.
(c) Time period of the wave is given by :


The time period of the wave is 0.5 s
(d) The no of vibation per second is called as its frequency.


Hence, this is the required solution.
Answer:
Part a)

Part B)

Explanation:
Part a)
Average power is rate of energy consumption
So it is given as



Part b)
If the efficiency is given as
%
so we know that 20% of total energy consumed is converted into output work
So total power consumed here will be given as


Energy consumed by him



now we know that 1 g fat will release 9 Calories energy
So we have


so to consume 1000 g of fat we need to release total energy

so total number of times

