NEET Practice Questions (MCQs) with Answers & Solutions

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For first-row transition metals acting as solid surface catalysts, which electrons are primarily utilized for bonding with reactant molecules?

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Explanation

The context specifies: 'Catalysts at a solid surface involve the formation of bonds between reactant molecules and atoms of the surface of the catalyst (first row transition metals utilise 3d and 4s electrons for bonding).'

Interstitial compounds are characterized by which of the following features?

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Explanation

The context states: 'They are usually non stoichiometric and are neither typically ionic nor covalent... They have high melting points, higher than those of pure metals.' The core definition also specifies small atoms trapped, not large ones.

The RMS value of an alternating current (AC) is defined as the equivalent direct current (DC) that would produce the same:

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Explanation

According to the provided text, 'In fact, the I or rms current is the equivalent dc current that would produce the same average power loss as the alternating current.' This highlights the fundamental definition and significance of RMS current in terms of power dissipation.

What is the relationship between the RMS current ($I$) and the peak current ($I_m$) for a sinusoidal AC current?

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Explanation

The text states: '$I = \frac{I_m}{\sqrt{2}} = 0.707 I_m$'. This is the standard definition of the RMS value for a sinusoidal alternating current.

The household line voltage in India is typically 220 V. This value represents the:

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Explanation

The context explicitly mentions, 'It is customary to measure and specify rms values for ac quantities. For example, the household line voltage of 220 V is an rms value'. This confirms that such general ratings refer to RMS values.

If the RMS voltage of a household supply is 220 V, what is the peak voltage ($V_m$) of the source?

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Explanation

The text provides the calculation: '$V_m = \sqrt{2} V = (1.414)(220 V) = 311 V'$. This shows how to convert from RMS voltage to peak voltage.

An AC circuit with RMS voltage $V$ and RMS current $I$ consumes an average power $P$. Which of the following expressions is analogous to DC power ($P = I^2R$)?

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Explanation

The text states: 'In terms of I, the average power, denoted by P is $P = I_m^2 R/2 = I^2 R$'. It also mentions, 'In terms of rms values, the equation for power [Eq. (7.7)] and relation between current and voltage in ac circuits are essentially the same as those for the dc case.' This supports $P=I^2R$ as the equivalent expression.

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

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Explanation

As stated in 'POINTS TO PONDER 1.', 'When a value is given for ac voltage or current, it is ordinarily the rms value. The voltage across the terminals of an outlet in your room is normally 240 V. This refers to the rms value of the voltage.' Similarly, the 220V rating for the bulb in example 7.1 is an RMS value.

For a light bulb rated at 100 W for a 220 V supply, what is the resistance of the bulb?

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Explanation

From Example 7.1(a): 'We are given P = 100 W and V = 220 V. The resistance of the bulb is $R = V^2 / P = (220 V)^2 / 100 W = 48400 / 100 \Omega = 484 \Omega$'.

What is the RMS current through the light bulb from the previous question (100 W, 220 V supply)?

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Explanation

From Example 7.1(c): 'Since, $P = I V$, then $I = P / V = 100 W / 220 V = 0.454 A$'.

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