Answer:
∅=
Explanation:
z=impedance
=2R
R=R
The resultant of the resistances in the circuit is called impedance
is inductive reactance of the circuit
R is the resistance of the resistor
z=
z=
Z=
Z=R
ohms
tan∅=2R/R
tan∅=2
∅=Tan^-1(2)
∅=
phase angle is ∅=
Answer:
Ratio of length will be 
Explanation:
We have given time period of the pendulum when length is
is 
And when length is
time period 
We know that time period is given by

So
----eqn 1
And
-------eqn 2
Dividing eqn 2 by eqn 1

Squaring both side

Answer:

Explanation:
Maximum height of the pumpkin, 
Initial speed, v = 22 m/s
We need to find the angle with which the pumpkin is fired. the maximum height of the projectile is given by :

On rearranging the above equation, to find the angle as :



So, the angle with which the pumpkin is fired is 39.49 degrees. Hence, this is the required solution.
Answer:
t = 6.09 seconds
Explanation:
Given that,
Speed, v = 44.1 cm/s
Distance, d = 269 cm
We need to find the time interval of the marble. Speed is distance per unit time.

Hence, the time interval of the marble is 6.09 seconds.