Kinematics Question 476
Question: Assertion: When an automobile while going too fast around a curve overturns, it’s inner wheels leave the ground first. Reason: For a safe turn the velocity of automobile should be less than the value of safe limit velocity.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: B
Solution:
When automobile moves in circular path then reaction on inner wheel and outer wheel will be different.
$ {R _{\text{inner}}}=\frac{M}{2}[ g-\frac{v^{2}h}{ra} ] $
and $ {R _{\text{outer}}}=\frac{M}{2}[ g+\frac{v^{2}h}{ra} ] $
In critical condition $ {v _{\text{safe}}}=\sqrt{\frac{gra}{h}} $
If v is equal or more that thus critical value then reaction on inner wheel becomes zero. So it leaves the ground first.
