NEET Practice Questions (MCQs) with Answers & Solutions

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Why does Joule heating occur in a AC resistor despite the average current being zero over a cycle?

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Explanation

The NCERT states, 'Joule heating is given by \(i^2R\) and depends on \(i^2\) (which is always positive whether i is positive or negative) and not on i. Thus, there is Joule heating and dissipation of electrical energy when an ac current passes through a resistor.'

In a purely resistive AC circuit, what is represented by the 'phasors' for voltage (V) and current (I)?

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Explanation

The NCERT states, 'The magnitudes of phasors V and I represent the amplitudes or the peak values \(v_m\) and \(i_m\) of these oscillating quantities.' The direction of the phasor indicates the phase.

A light bulb is rated at 100 W for a 220 V supply. The resistance of the bulb is:

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Explanation

Given \(P = 100 W\) and \(V_{rms} = 220 V\). We know \(P = V_{rms}^2 / R\). Therefore, \(R = V_{rms}^2 / P = (220 V)^2 / 100 W = 48400 / 100 = 484 \Omega\). This is directly from Example 7.1 (a).

A light bulb is rated at 100 W for a 220 V supply. The RMS current through the bulb is approximately:

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Explanation

Given \(P = 100 W\) and \(V_{rms} = 220 V\). We know \(P = I_{rms} V_{rms}\). Therefore, \(I_{rms} = P / V_{rms} = 100 W / 220 V \approx 0.454 A\). This is directly from Example 7.1 (c).

What is the value of \(\langle sin^2 \omega t \rangle \) over one complete cycle?

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Explanation

The NCERT text derived this: 'Using the trigonometric identity, \(sin^2 \omega t = 1/2 (1– cos 2\omega t)\), we have \(\langle sin^2 \omega t \rangle = (1/2) (1– \langle cos 2\omega t \rangle)\) and since \(\langle cos 2\omega t \rangle = 0\), we have, \(\langle sin^2 \omega t \rangle = 1/2\)' (Eq. 7.5c).

Why are AC voltage and current typically represented by 'phasors' even though they are scalar quantities?

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Explanation

The 'Points to Ponder' section clarifies: 'Though in a phasor diagram, voltage and current are represented by vectors, these quantities are not really vectors themselves. They are scalar quantities. It so happens that the amplitudes and phases of harmonically varying scalars combine mathematically in the same way as do the projections of rotating vectors... 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 describes a 'recombinant protein' in the context of biotechnology?

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Explanation

According to the NCERT text, 'If any protein encoding gene is expressed in a heterologous host, it is called a recombinant protein.' This clearly defines what a recombinant protein is in the biotechnological context.

After the gene of interest is cloned and expressed, what is the next critical consideration for producing the target protein in biotechnology?

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Explanation

The NCERT text states: 'After having cloned the gene of interest and having optimised the conditions to induce the expression of the target protein, one has to consider producing it on a large scale.' This indicates the immediate next step.

In a continuous culture system for multiplying cells harboring cloned genes, what is the primary purpose of continuously adding fresh medium and draining used medium?

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Explanation

The NCERT text explains: 'The cells can also be multiplied in a continuous culture system wherein the used medium is drained out from one side while fresh medium is added from the other to maintain the cells in their physiologically most active' phase (exponential phase). This maximizes the production of the desired protein.

Which of the following is NOT a general area of application for biotechnology, as described in the context?

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Explanation

The context lists 'Therapeutics, diagnostics, genetically modified crops for agriculture, processed food, bioremediation, waste treatment, and energy production' as applications of biotechnology. Weather forecasting is not mentioned.

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