Answer:
(iii) 6
Explanation:
Part a)
Since it is given that both ends are fixed and it is vibrating in 5th harmonic
So here it will have 5 number of loops in it
so we can draw it in following way
each loop will have 1 antinode and two nodes which means number of nodes is one more than number of anti-nodes
So there are 5 loops which means it will have 5 antinodes
and hence there will be 6 nodes in it
so correct answer will be
(iii) 6
Answer:
Double the current
Explanation:
The energy delivered by the heater is related to the current by the following relation:
E=
let R * t = k ( ∴ R and t both are constant)
so E= k
Now let:
E2= k I₂^2
E2= 4E
⇒ k I₂^2= 4* k
Cancel same terms on both sides.
I₂^2= 4*
taking square-root on both sides.
√I₂^2 = √4* I^2
⇒I₂= 2I
If we double the current the energy delivered each minute be 4E.
Answer:
A)
B)
C)
Explanation:
For this case we want to create a function like this:
Where Z represent the degrees for the Z scale C the Celsius grades and tha valus a and b parameters for the model.
The boiling point of nitrogen is -195,8 °C
The melting point of iron is 1538 °C
We know the following equivalences:
-195.8 °C = 0 °Z
1538 °C = 1000 °Z
Let's say that one point its (1538C, 1000 Z) and other one is (-195.8 C, 0Z)
So then we can calculate the slope for the linear model like this:
And now for the slope we can use one point let's use for example (-195.8C, 0Z), and we have this:
And if we solve for b we got:
So then our lineal model would be:
Part A
The boiling point of water is 100C so we just need to replace in the model and see what we got:
Part B
For this case we have Z =100 and we want to solve for C, so we can do this:
Part C
For this case we know that
And we can use the result from part B to solve for K like this:
Answer:
h = 36.4 cm
Explanation:
given,
spring constant = 2.5 x 10⁴ N/m
compressed distance = 11.2 cm = 0.112 m
mass of the child = 44 kg
maximum height = ?
by energy of conservation
h = 0.364 m
h = 36.4 cm