NDA2018General AbilityGeneral ScienceActual
A ball is released from rest and rolls down an inclined plane, as shown in the following figure, requiring 4 s to cover a distance of 100 cm along the plane: Which one of the following is the correct value of angle that the plane makes with the horizontal? ( g =1000 ~cm / s ^2 )
Options
- A= ⁻¹(1 / 9.8)
- B= ⁻¹(1 / 20)
- C= ⁻¹(1 / 80)
- D= ⁻¹(1 / 100)
Correct answer
C. = ⁻¹(1 / 80)
Step-by-step solution
aligned & s = ut +1 / 2 at ^2 & 100=0+1 / 2 ax 4^2 & a =200 / 8=12.5 ~cm / s ^2 & acceleration = g & or, g =12.5 & or, =12.5 / 1000=125 / 10000=1 / 80 & = Sin ⁻¹(1 / 80) aligned