#### Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks  A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B Option 1) 4.9 ms -2 in vertical direction Option 2) 4.9 ms -2 in horizontal direction Option 3) 9.8 ms -2 in vertical direction Option 4) Zero

As we learnt in

When an Inclined Plane is given -

- wherein

along normal to the incline

along the incline

Acceleration of the body down the smooth inclined plane

Vertical component of acceleration a is

For block A

For block B

Relative vertical acceleration of A with respect to B

Correct option is 1.

Option 1)

4.9 ms -2 in vertical direction

This is the correct option.

Option 2)

4.9 ms -2 in horizontal direction

This is an incorrect option.

Option 3)

9.8 ms -2 in vertical direction

This is an incorrect option.

Option 4)

Zero

This is an incorrect option.