Day 120: JEE Mains Physics

System of Particles and Rotational Motion. This type asked 2 times: 28 Jul 2022, 28 Jan 2025. This one: 28 Jan 2025 See all 2 of this type

19

The centre of mass of a thin rectangular plate (fig $x$ ) with sides of length $a$ and $b$, whose mass per unit area $(\sigma)$ varies as $\sigma =\frac{\sigma_{0}x}{ab}$ (where $\sigma_{0}$ is a constant), would be $\_\_\_\_\_\_$

1. A.
   $\left( \frac{2}{3}a,\frac{b}{2} \right)$
2. B.
   $\left( \frac{2}{3}a,\frac{2}{3}b \right)$
3. C.
   $\left( \frac{a}{2},\frac{\text{ }b}{2} \right)$
4. D.
   $\left( \frac{1}{3}a,\frac{b}{2} \right)$

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System of Particles and Rotational Motion. This type asked 2 times: 14 Jun 2022, 28 Jan 2025. This one: 28 Jan 2025 See all 2 of this type

Wave Optics. This type asked 2 times: 22 Jan 2025, 28 Jan 2025. This one: 28 Jan 2025 See all 2 of this type

Motion in a Plane. This type asked 2 times: 2021 Paper 19, 24 Jan 2025. This one: 24 Jan 2025 See all 2 of this type

97

A string of length $L$ is fixed at one end and carries a mass of M at the other end. The mass makes $\left( \frac{3}{\pi} \right)$ rotations per second about the vertical axis passing through end of the string as shown. The tension in the string is $\_\_\_\_\_\_$ ML.

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Thermal Properties of Matter. This type asked 2 times: 4 Apr 2024, 24 Jan 2025. This one: 24 Jan 2025 See all 2 of this type