Answer:
Explanation:
Capacity of a parallel plate capacitor C = ε₀ A/ d
ε₀ is permittivity whose value is 8.85 x 10⁻¹² , A is plate area and d is distance between plate.
C =( 8.85 X10⁻¹² X 27 X 10⁻⁴ ) / 3 X 10⁻³
= 79.65 X 10⁻¹³ F.
potential diff between plate = Charge / capacity
= 4.8 X 10⁻⁹ / 79.65 X 10⁻¹³
= 601 V
Electric field = V/d
= 601 / 3 x 10⁻³
= 2 x 10⁵ N/C
Force on proton
= charge x electric field
1.6 x 10⁻¹⁹ x 2 x 10⁵
= 3.2 x 10⁻¹⁴
Acceleration a = force / mass
= 3.2 x 10⁻¹⁴ / 1.67 x 10⁻²⁷
= 1.9 x 10¹³ m s⁻²
Distance travelled by proton = 3 x 10⁻³
3 x 10⁻³ = 1/2 a t²
t = 
t = 1.77 x 10⁻⁸ s
According to the saving of the momentum, the total momentum before collision is equal to the total momentum after collision
<em><u>in symbols:</u></em>
<em>
</em>
thus

then, the initial momentum of the second cart

Answer:
Explanation:
Given
Speed of Primary wave 
Speed of secondary wave 
difference in timing of two waves are 
Suppose both travel a distance of d km then


Subtract (ii) from (i)

![d[\frac{1}{4.5}-\frac{1}{8}]=77.2](https://tex.z-dn.net/?f=d%5B%5Cfrac%7B1%7D%7B4.5%7D-%5Cfrac%7B1%7D%7B8%7D%5D%3D77.2)
![d[0.0972]=77.2](https://tex.z-dn.net/?f=d%5B0.0972%5D%3D77.2)


Answer:

Explanation:
V(x,y)=(x+6)i+(y-3)j ............eq1
As intial point are given (1,1)
which means x=1,y=1
put these values in eq1
V(1,1)=(1+6)i+(1-3)j
V(1,1)=7i-2j
And its magnitude given as
|V(1,1)|=
|V(1,1)| =7.28