1.

Two identical blocks A and B are 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 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.A. (a) Only statement I is trueB. (b) Only statement II is trueC. (c) Only I and III are trueD. (d) Only II and III are true

Answer» Correct Answer - D
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 `=gsin theta`
`sin theta_Agt sin theta_B=h/lgt(h)/(2l)`
Statement III: `W_g+W_(ext)=0` (Because to block moves slowly)
`W_(ext)=-W_g`
From B to O: `W_g` is positive, so `W_(ext)lt0`.


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