1
JEE Main 2025 (Online) 28th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The center of mass of a thin rectangular plate (fig - x ) with sides of length $a$ and $b$, whose mass per unit area $(\sigma)$ varies as $\sigma=\frac{\sigma_0 x}{a b}$ (where $\sigma_0$ is a constant), would be __________.

JEE Main 2025 (Online) 28th January Morning Shift Physics - Center of Mass and Collision Question 3 English

A
$\left(\frac{2}{3} a, \frac{2}{3} b\right)$
B
$\left(\frac{2}{3} a, \frac{\mathrm{~b}}{2}\right)$
C
$\left(\frac{1}{3} a, \frac{\mathrm{~b}}{2}\right)$
D
$\left(\frac{a}{2}, \frac{\mathrm{~b}}{2}\right)$
2
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5 cm is cut from this disc in such a way that the edge of the hole touches the edge of the disc. The distance of centre of mass of residual or remaining disc from the origin will be

A
1.5 cm
B
2.0 cm
C
0.5 cm
D
1.0 cm
3
JEE Main 2024 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A stationary particle breaks into two parts of masses $$m_A$$ and $$m_B$$ which move with velocities $$v_A$$ and $$v_B$$ respectively. The ratio of their kinetic energies $$\left(K_B: K_A\right)$$ is :

A
$$v_B: v_A$$
B
$$1: 1$$
C
$$m_B v_B: m_A v_A$$
D
$$m_B: m_A$$
4
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

An artillery piece of mass $$M_1$$ fires a shell of mass $$M_2$$ horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery and that of the shell is:

A
$$M_1 /\left(M_1+M_2\right)$$
B
$$\frac{M_2}{M_1}$$
C
$$\frac{M_1}{M_2}$$
D
$$M_2 /\left(M_1+M_2\right)$$
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