Physics MCQs for NEET — Practice Questions with Answers

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In a series RLC circuit, the individual voltage phasors V_L, V_R, and V_C combine to form the total voltage phasor V. If V_C and V_L are always along the same line and in opposite directions, what is the magnitude of their combined phasor $(V_C + V_L)$?

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Explanation

The NCERT text states, 'Since VC and VL are always along the same line and in opposite directions, they can be combined into a single phasor (VC + VL) which has a magnitude $|v_{Cm} – v_{Lm}|$.' This corresponds to $|V_C - V_L|$ for the RMS or peak voltage magnitudes.

The analysis of an AC circuit is simplified by using phasor diagrams because:

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Explanation

The NCERT text highlights this benefit: 'The analysis of an ac circuit is facilitated by the use of a phasor diagram.' And further explains, 'The rotating vectors that represent harmonically varying scalar quantities are introduced only to provide us with a simple way of adding these quantities using a rule that we already know as the law of vector addition.'

Which of the following values correctly represents the universal gravitational constant (G) as mentioned in the provided text?

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Explanation

The provided text in problem 7.17 and 7.19 explicitly states 'G = $6.67 \times 10^{-11} \text{ N m}^2 \text{ kg}^{-2}$'. The other options represent acceleration due to gravity, mass of Earth, and radius of Earth respectively.

The value of the universal gravitational constant, G, is used in determining the mass of the Earth. This determination is attributed to whose experiment, as per the text?

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Explanation

The text on page 133, under section 7.5, states: 'The measurement of G by Cavendish’s experiment (or otherwise), combined with knowledge of g and R_E enables one to estimate M_E from Eq. (7.12). This is the reason why there is a popular statement regarding Cavendish : “Cavendish weighed the earth”.'

According to the provided text, if the zero of potential energy is at infinity ($r \rightarrow \infty$), what is the nature of the gravitational potential energy of an object at a finite distance?

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Explanation

Points to Ponder, point 6, and page 135 state: 'Relative to infinity (i.e. if we presume that the potential energy of the object at infinity is zero), the gravitational potential energy of an object is negative.' and 'V = - $G m_1 m_2 / r$ (if we choose V = 0 as $r \rightarrow \infty$ )'. Since G, $m_1$, $m_2$, and r are positive, the expression - $G m_1 m_2 / r$ will always be negative.

The gravitational force between two ideal point masses is always along the line joining their centers. However, for two finite rigid bodies, the force is not necessarily along the line joining their center of mass. This statement is TRUE for which of the following scenarios to apply?

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Explanation

Points to Ponder, point 8, states: 'Although the gravitational force between two particles is central, the force between two finite rigid bodies is not necessarily along the line joining their centre of mass. For a spherically symmetric body however the force on a particle external to the body is as if the mass is concentrated at the centre and this force is therefore central.'

What is the gravitational potential energy (V) of two particles with masses $m_1$ and $m_2$ separated by a distance r, if potential energy is chosen to be zero at infinity?

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Explanation

The text on page 135 and Points to Ponder, point 5, explicitly states: 'The gravitational potential energy associated with two particles of masses $m_1$ and $m_2$ separated by distance by a distance r is given by $V = - G m_1 m_2 / r$ (if we choose V = 0 as $r \rightarrow \infty$ )'.

In the derivation of acceleration due to gravity 'g' on the Earth's surface (Eq. 7.12), which quantity represents the universal gravitational constant?

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Explanation

Equation (7.12) on page 133 is given as $g = G M_E / R_E^2$. In this equation, G is the universal gravitational constant, M_E is the mass of the Earth, and R_E is the radius of the Earth. F represents force, not a constant in this context.

Can a body be shielded from the gravitational influence of nearby matter by placing it inside a hollow sphere?

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Explanation

Points to Ponder, point 9, and Exercise 7.1 (a) explicitly state: 'Gravitational shielding is not possible.'

In the provided text, what are the units given for the universal gravitational constant G?

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Explanation

Problems 7.17 and 7.19 consistently mention 'G = $6.67 \times 10^{-11} \text{ N m}^2 \text{ kg}^{-2}$'. This translates to $N \text{ m}^2 / \text{ kg}^2$.

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