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Two identical blocks A and B arc placed on two inclined planes as shown in figure. Neglect resistance and other friction.
Read the following statements and choose options.
Statement I: The kinetic energy of A on sliding to J will be greater than the kinetic energy of B on sliding to O.
Statement II: The acceleration of A will be greater than acceleration of B when both are released on the inclined plane.
Statement III: The work done by external agent to move the block slowly from position B to O is negative.

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Only statement I is true

Only statement II is true

Only I and III are true

Only II and III are true

answer is D.

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Detailed Solution

Statement I: Work done by gravity is same for motion from A to J and B to M for equal mass. So KE will be equal.

Statement II: Acceleration = g sin $θ$

$\sin θ_{A} > \sin θ_{B} \Rightarrow \frac{h}{l} > \frac{h}{2 l}$

Statement III: $W_{g} + W_{ext} = 0$ (Because the block moves slowly)

$W_{ext} = - W_{g}$

From B to O: W_g is positive, so W_ext < 0.

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