Superman is going on a vacation to his home planet krypton from earth via. Sun. (Let's assume for a moment that Krypton is not destroyed). His energy v/s distance travelled graph is as shown below:
At which point is superman's (dE/ds) positive
Superman is going on a vacation to his home planet krypton from earth via. Sun. (Let's assume for a moment that Krypton is not destroyed). His energy v/s distance travelled graph is as shown below:
At which point is superman's (dE/ds) positive
The correct option is A 100 million Kms
So what we know, (dE/ds) is graphically the slope of E vs s graph. slope at a point is given by tan θ where θ is the angle made by the tangent at the point with x-axis.Let's see in the graph :
At 100 million km mark the angle made by tangent is θ1, which is acute.
= tan θ1 = positive
At 150 million km the tangent is parallel to x-axis.
Angle = 0
= tan θ = 0
Same is true for 1000 million km
At 200 million km ,θ3 is obtuse
= tan θ3 = negative (since tan is - ve in 2nd quadrant)
100 million Kms
So what we know, (dE/ds) is graphically the slope of E vs s graph. slope at a point is given by tan θ where θ is the angle made by the tangent at the point with x-axis.Let's see in the graph :
At 100 million km mark the angle made by tangent is θ1, which is acute.
= tan θ1 = positive
At 150 million km the tangent is parallel to x-axis.
Angle = 0
= tan θ = 0
Same is true for 1000 million km
At 200 million km ,θ3 is obtuse
= tan θ3 = negative (since tan is - ve in 2nd quadrant)
