Explanation:
<em>S</em><em>p</em><em>e</em><em>e</em><em>d</em><em> </em><em>is </em><em> </em><em>defi</em><em>ned</em><em> </em><em>as </em><em>distance</em><em> </em><em>per</em><em> </em><em>tim</em><em>e</em><em> (</em><em>mil</em><em>es</em><em> </em><em>per</em><em> </em><em>hou</em><em>r</em><em> </em><em>or</em><em> </em><em>meter</em><em> </em><em>per</em><em> </em><em>se</em><em>cond</em><em>)</em>
Answer:
C
Explanation:
Because you can feel vibrations through solids but not through gases
We the Period T we can find the constant k,
That is

We delete the squart root elevating squareing everything,

M is the hanging mass, m is the spring mass,
k is the spring constant and T the time period
a) So for the equation we can compare, that is,

Here x is the hanging mass M, so comparing the equation we know that

b) For the mass of the spring we make similar process, so comparing,

Explanation:
(a) Velocity is given by :

s is the length of the distance
t is the time
The dimension of v will be,
(b) The acceleration is given by :

v is the velocity
t is the time
The dimension of a will be, ![[a]=[LT^{-2}]](https://tex.z-dn.net/?f=%5Ba%5D%3D%5BLT%5E%7B-2%7D%5D)
(c) Since, ![d=\int\limits{v{\cdot}dt} =[LT^{-1}][T]=[L]](https://tex.z-dn.net/?f=d%3D%5Cint%5Climits%7Bv%7B%5Ccdot%7Ddt%7D%20%3D%5BLT%5E%7B-1%7D%5D%5BT%5D%3D%5BL%5D)
(d) Since, ![v=\int\limits{a{\cdot}dt} =[LT^{-2}][T]=[LT^{-1}]](https://tex.z-dn.net/?f=v%3D%5Cint%5Climits%7Ba%7B%5Ccdot%7Ddt%7D%20%3D%5BLT%5E%7B-2%7D%5D%5BT%5D%3D%5BLT%5E%7B-1%7D%5D)
(e)
![\dfrac{da}{dt}=\dfrac{[LT^{-2}]}{[T]}](https://tex.z-dn.net/?f=%5Cdfrac%7Bda%7D%7Bdt%7D%3D%5Cdfrac%7B%5BLT%5E%7B-2%7D%5D%7D%7B%5BT%5D%7D)
![\dfrac{da}{dt}=[LT^{-3}]}](https://tex.z-dn.net/?f=%5Cdfrac%7Bda%7D%7Bdt%7D%3D%5BLT%5E%7B-3%7D%5D%7D)
Hence, this is the required solution.
Answer:
2.5 x 10^-3 T
Explanation:
n = 100 turns / cm = 10000 turns / m, R = 60 ohm, V = 12 V
i = V / R = 12 / 60 = 0.2 A
Magnetic field due to solenoid is
B = μ0 x n x i
B = 4 x 3.14 x 10^-7 x 10000 x 0.2
B = 2.5 x 10^-3 T