In the figure,point A is 30 cm below the ceiling.Determine how much longer it will take for a pulse to travel along wire 1 than it would along wire 2.Both wires are made of the same material and have identical cross sections.
A)3.48 times longer
B)1.56 times longer
C)2.28 times longer
D)1.71 times longer
E)0.58 times longer

Question

In the figure,point A is 30 cm below the ceiling.Determine how much longer it will take for a pulse to travel along wire 1 than it would along wire 2.Both wires are made of the same material and have identical cross sections. 
A)3.48 times longer 
B)1.56 times longer 
C)2.28 times longer 
D)1.71 times longer 
E)0.58 times longer

Quizplus · Accepted Answer

The time it takes for a pulse to travel along a wire is proportional to the length of the wire. The length of wire 1 is equal to the hypotenuse of the right triangle formed by the wire, which is given by the Pythagorean theorem as:

L1 = sqrt(15^2 + 30^2) = 33.54 cm

The length of wire 2 is equal to the distance between the two points A and B, which is 30 cm. Therefore, the ratio of the time it takes for a pulse to travel along wire 1 compared to wire 2 is:

L1/L2 = 33.54/30 = 1.118

So, it will take 1.118 times longer for a pulse to travel along wire 1 than it would along wire 2, which is approximately 2.28 times longer (rounded to two decimal places). Therefore, the best answer choice is C.

In the Figure,point a Is 30 Cm Below the Ceiling