A table lamp draws a current of 200 mA when it is connected to a 120-V source. What is the resistance of the table lamp?
1 answer:
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Answer:
The ratio of lengths of the two mathematical pendulums is 9:4.
Explanation:
It is given that,
The ratio of periods of two pendulums is 1.5
Let the lengths be L₁ and L₂.
The time period of a simple pendulum is given by :
or
Where
l is length of the pendulum
or
....(1)
ATQ,
Put in equation (1)
So, the ratio of lengths of the two mathematical pendulums is 9:4.
Answer:
The half-life is
Explanation:
Using the decay equation we have:
Where:
- λ is the decay constant
- A(0) the initial activity
- A is the activity at time t
We know the activity decrease by a factor of two in a one hour period (t = 1 h), it means that
Taking the natural logarithm on each side we have:
Now, the relationship between the decay constant λ and the half-life t(1/2) is:
I hope it helps you!