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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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a

Only statement I is true

b

Only statement II is true

c

Only I and III are true

d

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 θsin⁡θA>sin⁡θB⇒hl>h2lStatement III: Wg+Wext =0 (Because the block moves slowly) Wext =−Wg From B to O: Wg is positive, so Wext < 0.

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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.