IAT (IISER) 2022 | Work, Energy and Power Question 1 | Physics

An object is released from rest from the inner edge of a hemispherical bowl, and it falls under gravity. The coefficient of kinetic friction between the object and the bowl is $\mu$. If the object covers an angular displacement $\theta$ with respect to the center of the hemisphere when it stops for the first time, which of the following expressions is correct?

$\mu=\cot (\theta)$

$\mu=\cot \left(\frac{\theta}{2}\right)$

$\mu=\tan (\theta)$

$\mu=\tan (\theta / 2)$

IAT (IISER) 2020

MCQ (Single Correct Answer)

-1

The potential energy of a point particle of mass $m$ undergoing rectilinear motion along the $x$-axis is given by

$$ V(x)=A x+B x^2 $$

What is the maximum speed attained by the particle if it starts from rest at $x=\frac{A}{B}$ ?

$\frac{3 A}{\sqrt{2 B m}}$

$\frac{A}{\sqrt{2 B m}}$

$\frac{2 A}{\sqrt{B m}}$

$A \sqrt{\frac{2}{B m}}$

Questions Asked from MCQ (Single Correct Answer)

IAT (IISER) 2022 (1) IAT (IISER) 2020 (1)

IAT (IISER) Subjects