Physics || JEE Main previous year questions with Solutions

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Topic Question Set

Q 1 :

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim in 8 m/s. The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be: [2025]

$4 \sqrt{2}$ m/s
8 m/s
4 m/s
$8 \sqrt{2}$ m/s

1

2

3

4

(1)

If $V_{B} = 2 V$

Point A is instantaneous centre of rotation

Given, $V_{B} = 8 m / s \Rightarrow V = 4 m / s$

$V_{P} = \sqrt{2} V \Rightarrow V_{P} = 4 \sqrt{2} m / s$

Q 2 :

A thin uniform rod of length 2m, cross-sectional area 'A' and density 'd' is rotated about an axis passing through the centre and perpendicular to its length with angular velocity $ω$ . If the value of $ω$ in terms of its rotational kinetic energy E is $\sqrt{\frac{α E}{A d}}$ then the value of $α$ is ________ . [2023]

0%

(3)

${(KE)}_{rotational} = \frac{1}{2} I ω^{2} = E$

$E = \frac{1}{2} \frac{m l^{2}}{12} ω^{2} = \frac{1}{2} \frac{d A l^{3}}{12} ω^{2}$

$E = \frac{d A {(2)}^{3}}{24} ω^{2}$

$\sqrt{\frac{3 E}{d A}} = ω \Rightarrow α = 3$

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