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 0 that the plane makes with the horizon

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Q: 61 (NDA-II/2018)
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 0 that the plane makes with the horizontal? (g = 1000 cm/s2)

question_subject: 

Maths

question_exam: 

NDA-II

stats: 

0,2,1,1,0,2,0

keywords: 

{'inclined plane': [0, 0, 0, 1], 'angle': [0, 0, 1, 0], 'horizontal': [0, 0, 1, 1], 'correct value': [0, 0, 0, 3], 'plane': [0, 0, 4, 8], 'ball': [1, 3, 13, 12], 'distance': [0, 3, 3, 3], 'rest': [0, 1, 2, 5]}

The correct answer is option 3, 0 = sin-1 (1/80).

To understand why option 3 is the correct answer, let`s break down the options and analyze them:

- Option 1: 0 = sin-1 (1/9.8)

This option suggests that the angle 0 is equal to the arcsine of 1/9.8. However, this is not correct because the value of g (acceleration due to gravity) provided in the question is 1000 cm/s^2, not 9.8 cm/s^2. Therefore, this option is incorrect.

- Option 2: 0 = sin-1 (1/20)

This option suggests that the angle 0 is equal to the arcsine of 1/20. However, this is also not correct because the value of g provided in the question is 1000 cm/s^2, not 20 cm/s^2. Therefore, this option is incorrect.

- Option 3: 0 = sin-1 (1/80)

This option suggests that the angle 0 is equal to the arcsine of 1/80. Since the value of g provided in the question is 1000