Motion in a Lane MCQs for NEET — Physics Questions with Answers

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Which of the following statements about uniform circular motion is true?

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Explanation

In 'POINTS TO PONDER', point 4 states: 'The kinematic equations for uniform acceleration do not apply to the case of uniform circular motion since in this case the magnitude of acceleration is constant but its direction is changing.'

The scalar product of two vectors $\vec{A}$ and $\vec{B}$ is given by $\vec{A}\cdot\vec{B} = AB\cos\theta$. Geometrically, $B\cos\theta$ represents the:

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Explanation

The NCERT text explains the scalar product: 'Geometrically, $B\cos\theta$ is the projection of B onto A in Fig.5.1 (b) and $A\cos\theta$ is the projection of A onto B in Fig. 5.1 (c). So, A.B is the product of the magnitude of A and the component of B along A.'

NEET 2023

A bullet is fired from a gun at the speed of $280\ \text{m s}^{-1}$ in the direction $30^\circ$ above the horizontal. The maximum height attained by the bullet is ($g = 9.8\ \text{m s}^{-2},\ \sin 30^\circ = 0.5$):

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Explanation

$H_{\max} = \dfrac{u^2 \sin^2\theta}{2g} = \dfrac{280^2 \times (0.5)^2}{2 \times 9.8} = 1000\ \text{m}$.

NEET 2024

A particle moving with uniform speed in a circular path maintains:

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Explanation

Velocity and centripetal acceleration both keep changing direction.

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