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Physics · LAWS OF MOTION
हिन्दीIn the given diagram showing Galileo's double inclined plane experiment, a marble is released from rest at initial height \( h \) on plane (i). In the ideal frictionless case, when plane (ii) has a smaller angle of inclination than plane (i), how does the final vertical height reached by the marble on plane (ii) compare to \( h \), and how does the distance traveled along plane (ii) compare to plane (i)?
Correct answer · Option 1
Final vertical height equals h, distance traveled on plane (ii) is greater than on plane (i).
Explanation
In the ideal frictionless case, conservation of mechanical energy dictates that the marble reaches the exact same initial height \( h \). Since plane (ii) has a smaller slope angle \( \theta_2 \), distance along the incline \( s_2 = \frac{h}{\sin\theta_2} \) is greater than \( s_1 = \frac{h}{\sin\theta_1} \).
