JEE Mains · Physics · STD 12 -6. Electromagnetic induction
A block takes \(t\) time to slide down a plane inclined at \(45°\) to the horizontal. If the surface is made smooth (frictionless), the block takes time \(\dfrac{t}{2}\) to slide down the plane. The coefficient of friction between the block and the inclined plane is \(\left(\dfrac{\alpha}{100}\right)\). The value of \(\alpha\) is __________.
- A 70
- B 75
- C 80
- D 85
Answer & Solution
Correct Answer
(B) 75
Step-by-step Solution
Detailed explanation
Let the length of the inclined plane be \(s\). For the smooth inclined plane, the acceleration of the block is \(a_1 = g \sin \theta\). The time taken is \(t_1 = \dfrac{t}{2}\). Using the second equation of motion \(s = ut + \dfrac{1}{2}at^2\) with \(u = 0\):…
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