Explanation:
It is given that,
Length of the string, l = 2 m
Mass of the string, 
Hanged mass in the string, 
1. The tension in the string is given by :


T = 1.96 N
2. Velocity of the transverse wave in the string is given by :

m = M/l


v = 28 m/s
Hence, this is the required solution.
Answer:
-2π ≤ ∅ ≤ 3π/2
0 ≤ ∅ ≤ π/2
Explanation:
In simple harmonic motion, the displacement and velocity vectors are as follows:

where ∅ is the phase angle. At t = 0, the initial displacement and velocity are

According to two equations, we need to find the ∅ values which makes both cosine and sine terms positive.
So, ∅ is in the range: [-2π, -3π/2] and [0,π/2]
Answer:
Explanation:
Magnetic field B = 5 x 10⁻³ T
Speed of electron
= ( 5.5 /100) x 3 x 10⁸
= 165 x 10⁵ m /s
Magnetic force on electron
F = Bqv
B is magnetic field , q is charge on electron and v is its velocity
= 5 x 10⁻³ x1.6 x 10⁻¹⁹ x 165 x 10⁵
1320 x 10⁻¹⁷ N
13.2 X 10⁻¹⁵ N
= 13.2 f N
b )
Acceleration = force / mass of electron
= 1320 x 10⁻¹⁷ / 9.1 x 10⁻³¹
= 14.5 x 10¹⁵ m/s²
= 14.5 Pm/s²
c ) The direction of the moving electron will change but its speed will remain constant.
This is so because the magnetic force will be acting perpendicular to the velocity of electron all the time in course of its motion.
The volume of the room is the product of its dimensions:

Now, from the equation

where d is the density, m is the mass and V is the volume, we deduce

So, multiply the density and the volume to get the mass of air in the room.