A particle is projected up on an incline at t=0 with a speed of 14 ms−1 as shown in the figure. At the same moment, a box starts sliding down. The box has two small windows at a height of 2 m on opposite walls. The particle enters from 1st window and leaves through the other. The width of the box is 7α√3 m. The value of α is . (Assume friction to be absent everywhere and answer upto two digit after decimal point)

A particle is projected up on an incline at t=0 with a speed of 14 ms�

1.	A particle is projected up on an incline at t=0 with a speed of 14 ms−1 as shown in the figure. At the same moment, a box starts sliding down. The box has two small windows at a height of 2 m on opposite walls. The particle enters from 1st window and leaves through the other. The width of the box is 7α√3 m. The value of α is . (Assume friction to be absent everywhere and answer upto two digit after decimal point)
Answer» A particle is projected up on an incline at $t = 0$ with a speed of $14 m s^{- 1}$ as shown in the figure. At the same moment, a box starts sliding down. The box has two small windows at a height of $2 m$ on opposite walls. The particle enters from $1^{st}$ window and leaves through the other. The width of the box is $\frac{7 α}{\sqrt{3}} m$ . The value of $α$ is . (Assume friction to be absent everywhere and answer upto two digit after decimal point)