NEET Practice Questions (MCQs) with Answers & Solutions

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Which of the following conditions is crucial for releasing metabolic energy essential for growth activities in plants?

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Explanation

The NCERT text states: 'Oxygen helps in releasing metabolic energy essential for growth activities.' (Chapter: PLANT_GROWTH_AND_DEVELOPMENT, Section 13.1.5).

Which factor is required by plants for the synthesis of protoplasm and also acts as a source of energy?

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Explanation

The NCERT text says: 'Nutrients (macro and micro essential elements) are required by plants for the synthesis of protoplasm and act as source of energy.' (Chapter: PLANT_GROWTH_AND_DEVELOPMENT, Section 13.1.5).

Plant growth is described as 'open' because:

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Explanation

The NCERT text explains: 'This ability of the plants is due to the presence of meristems at certain locations in their body. The cells of such meristems have the capacity to divide and self-perpetuate. The product, however, soon loses the capacity to divide and such cells make up the plant body. This form of growth wherein new cells are always being added to the plant body by the activity of the meristem is called the open form of growth.' (Chapter: PLANT_GROWTH_AND_DEVELOPMENT, Section 13.1.1).

If two leaves, A and B, both increase their area by 5 cm² over a given time, but one shows a much higher relative growth rate, which leaf would most likely have the higher relative growth rate?

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Explanation

Relative growth rate is calculated per unit initial parameter. If both leaves increase by the same absolute amount (5 cm²), the leaf with a smaller initial area will have a higher relative growth rate (percentage increase) compared to a larger leaf. For example, if Leaf A is 10 cm² and grows to 15 cm², its relative growth is 50%. If Leaf B is 100 cm² and grows to 105 cm², its relative growth is 5%. (Chapter: PLANT_GROWTH_AND_DEVELOPMENT, Section 13.1.4 and Figure 13.7).

Which of the following statements is TRUE regarding the center of mass of a system of particles?

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Explanation

According to the NCERT text, 'The centre of mass moves as if all the mass of the system is concentrated at this point and all the external forces act at it.' This is a fundamental concept in the motion of the center of mass.

For a thin rod with uniformly distributed mass, where does its center of mass lie?

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Explanation

The NCERT text states: 'By using symmetry consideration, we can easily show that the centres of mass of these bodies [homogeneous bodies of regular shapes like rings, discs, spheres, rods etc.] lie at their geometric centres.' For a thin rod, its geometric center is its midpoint.

The position vector of the center of mass ($R$) for a system of $n$ particles is given by:

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Explanation

The NCERT summary clearly defines the position vector of the centre of mass of a system of n particles as $R = \frac{1}{M} \sum m_i r_i$, where $M$ is the total mass of the system.

If the center of mass is chosen as the origin of a coordinate system, then the integral $\int r dm$ will be equal to:

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Explanation

The NCERT text states: 'If we choose, the centre of mass as the origin of our coordinate system, $R = 0$, i.e., $\int r dm = 0$.' This implies that the weighted average position of all mass elements relative to the center of mass is zero.

For a continuous distribution of mass, the coordinates of the center of mass (X, Y, Z) are given by:

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Explanation

The NCERT text provides the coordinates of the center of mass for a continuous mass distribution as $X = \frac{1}{M} \int x dm$, $Y = \frac{1}{M} \int y dm$, $Z = \frac{1}{M} \int z dm$. Since $M = \int dm$, options (2) and (3) are equivalent and both correctly represent the coordinates.

In pure translational motion, what is true about the velocities of any two particles within a rigid body at any instant of time?

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Explanation

The summary states: 'In pure translation, every particle of the body moves with the same velocity at any instant of time.' This is a defining characteristic of pure translation.

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