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21. Although used earlier by French and German writers, the term ‘Industri

Although used earlier by French and German writers, the term ‘Industrial Revolution’ in English was first popularized by

Adam Smith

Arnold Toynbee

James Mill

Bertrand Russell

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The correct answer is Arnold Toynbee.

While the term ‘Industrial Revolution’ was used earlier by French writers like Adolphe Jérôme Blanqui and German writers, it was popularized in English by the British economic historian Arnold Toynbee through his posthumously published “Lectures on the Industrial Revolution in England” (1884).

Arnold Toynbee’s lectures provided one of the first systematic analyses of the economic and social changes that occurred in Britain during the late 18th and early 19th centuries, solidifying the term’s use and meaning in the English-speaking world. Adam Smith is known for his work on classical economics, particularly “The Wealth of Nations” (1776), which predates the full swing of the Industrial Revolution and its conceptualization as such. James Mill was a historian and philosopher associated with Utilitarianism. Bertrand Russell was a 20th-century philosopher, logician, and social critic.

23. Who among the following was the author of Neel Darpan, published in 18

Who among the following was the author of Neel Darpan, published in 1860 ?

Reverend James Long

Michael Madhusudan Dutta

Raja Ram Mohan Roy

Dinabandhu Mitra

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The play ‘Neel Darpan’ (The Indigo Mirror), published in 1860, was written by Dinabandhu Mitra. The play depicted the brutal exploitation of Bengali indigo farmers by European indigo planters under British rule, highlighting the oppression and injustice faced by the ryots (peasants).

Dinabandhu Mitra wrote the play ‘Neel Darpan’ in 1860, which exposed the atrocities of indigo planters and contributed to the Indigo Revolt.

Reverend James Long was a British missionary who famously translated ‘Neel Darpan’ into English, for which he faced prosecution by the colonial government. Michael Madhusudan Dutta was a prominent Bengali poet and playwright but not the author of ‘Neel Darpan’. Raja Ram Mohan Roy was an earlier social reformer and is not associated with this play.

24. The industrial revolution in England had a profound impact on the live

The industrial revolution in England had a profound impact on the lives of people. Which of the following statements are correct about that ?

1. Women were the main workers in the silk, lace-making and knitting industries
2. Factory managers were well aware of the health risks of industrial work on children
3. Children were often employed in textile factories
4. The novel ‘Hard Times’ by Charles Dickens was a severe critique of the horrors of industrialization

Select the correct answer using the code given below :

1 and 3 only

1 and 2

1, 3 and 4

3 and 4 only

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The Industrial Revolution significantly changed social structures and work life in England.
Statement 1: Women and children were heavily employed in the textile industry, including silk, lace, and knitting, where their smaller hands were sometimes considered advantageous for certain tasks, and they could be paid less than men. This is a correct statement.
Statement 2: While the health risks were severe (poor air quality, dangerous machinery, long hours), factory managers and owners were largely driven by profit and were not primarily concerned with the well-being of workers, especially children. Awareness of health risks in the modern sense, leading to protective measures, came much later, often driven by reforms. This statement is incorrect.
Statement 3: Children were indeed widely employed in textile factories during the early Industrial Revolution, working long hours in dangerous and unhealthy conditions. This is a correct statement.
Statement 4: Charles Dickens was a prominent critic of the social conditions brought about by industrialization. His novel ‘Hard Times’ specifically critiques the harsh realities of industrial life, the treatment of workers, and the prevailing utilitarian philosophy. This is a correct statement.
The correct statements are 1, 3, and 4. Option C includes statements 1, 3, and 4.

The Industrial Revolution led to mass employment in factories, including women and children, often in harsh conditions. Social critics highlighted these negative impacts.

Conditions in early factories were often unsafe and unsanitary. The exploitation of child labor was a major issue. Reforms addressing working hours, safety, and child labor gradually emerged later in the 19th century due to social pressure and legislation.

25. Which of the following was/were the reasons for the defeat of British

Which of the following was/were the reasons for the defeat of British during the American War of Independence ?

1. The remoteness of the American Continent and the lack of good roads
2. The British authorities failed to rally the loyalist Americans
3. The Americans benefited from the extraordinary military leadership of George Washington
4. The Americans had access to superior arms and ammunition

1, 2 and 4

3 only

2 and 3 only

1, 2 and 3

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Several factors contributed to the British defeat in the American War of Independence.
Statement 1: The vast distance across the Atlantic and the poor infrastructure in America created significant logistical challenges for transporting troops, supplies, and maintaining communication for the British army. This is a correct reason.
Statement 2: The British failed to effectively mobilize and utilize the support of loyalist Americans, who constituted a significant portion of the population. This lack of broad internal support weakened the British effort. This is a correct reason.
Statement 3: The strategic leadership, perseverance, and ability of George Washington to keep the Continental Army intact and motivated throughout the long war, coupled with key tactical victories, were crucial for the American success. This is a correct reason.
Statement 4: While the Americans eventually received aid from France and other European powers (including arms), they generally did not possess superior arms and ammunition compared to the well-equipped British army throughout the war. They often faced shortages. This statement is incorrect.
Statements 1, 2, and 3 are correct reasons for the British defeat. Option D includes statements 1, 2, and 3.

Factors contributing to American victory included geographical challenges for Britain, British strategic errors, American leadership, foreign aid (especially from France), and strong American motivation.

Other factors included British strategic miscalculations, the costly nature of the war for Britain, and effective diplomacy by American figures like Benjamin Franklin in securing foreign alliances.

26. Which of the following was/were the feature(s) of Lenin’s New Economic

Which of the following was/were the feature(s) of Lenin’s New Economic Policy (NEP) for the Soviet Union ?

1. Private retail trading was strictly forbidden
2. Private enterprise was strictly forbidden

1, 2 and 4

3 only

2 and 3 only

1, 2 and 3

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Lenin’s New Economic Policy (NEP), introduced in 1921, was a temporary move away from strict state control to revive the economy.
Statement 1: “Private retail trading was strictly forbidden”. This was a feature of War Communism (1918-1921), not NEP. NEP *allowed* small-scale private retail trade.
Statement 2: “Private enterprise was strictly forbidden”. This was largely a feature of War Communism. NEP *allowed* small-scale private enterprise.
Statement 3: “State control was maintained over heavy industry and banking”. This is a correct feature of NEP. The state retained control over the “commanding heights” of the economy (heavy industry, banking, foreign trade).
Statement 4: “Peasants were allowed to sell their surplus produce”. This is a correct feature of NEP. The system of forced requisitioning (prodrazvyorstka) from War Communism was replaced by a tax in kind (prodnalog), allowing peasants to sell their surplus on the market.
The correct features among the typical statements are 3 and 4. Looking at the provided options, only option B (“3 only”) consists solely of a correct feature (Statement 3), given that statements 1 and 2 are incorrect features of NEP. Although statement 4 is also a correct feature, it is not offered as “3 and 4 only”, and is included in option A which contains incorrect statements.

NEP allowed limited private trade and enterprise (small scale), replaced grain requisitioning with a tax allowing surplus sales, and maintained state control over major industries and finance.

NEP was a pragmatic policy aimed at increasing agricultural and industrial output by reintroducing market mechanisms. It was successful in reviving the Soviet economy in the 1920s but was eventually phased out under Stalin with the implementation of five-year plans and collectivization.

27. When three resistors, each having resistance r, are connected in paral

When three resistors, each having resistance r, are connected in parallel, their resultant resistance is x. If these three resistances are connected in series, the total resistance will be

3rx

3/x

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When three resistors, each with resistance $r$, are connected in parallel, their resultant resistance $x$ is given by:
$\frac{1}{x} = \frac{1}{r} + \frac{1}{r} + \frac{1}{r} = \frac{3}{r}$
So, $x = \frac{r}{3}$, which means $r = 3x$.
When these three resistors are connected in series, the total resistance is the sum of individual resistances:
Total resistance $R_{series} = r + r + r = 3r$.
Substituting the expression for $r$ in terms of $x$ ($r=3x$):
$R_{series} = 3 \times (3x) = 9x$.

Resistors in parallel: $\frac{1}{R_{parallel}} = \sum \frac{1}{R_i}$. Resistors in series: $R_{series} = \sum R_i$.

Parallel connections decrease the total resistance, while series connections increase the total resistance. For identical resistors, the parallel resistance is $R/n$ and the series resistance is $nR$, where $R$ is the individual resistance and $n$ is the number of resistors.

28. If the image of an object, formed by a concave mirror is virtual, erec

If the image of an object, formed by a concave mirror is virtual, erect and magnified, then the object is placed

at the principal focus

at the centre of curvature

beyond the centre of curvature

between the pole of the mirror and the principal focus

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A concave mirror forms a virtual, erect, and magnified image when the object is placed between its pole (P) and principal focus (F). In this position, rays from the object diverge after reflection and appear to originate from a point behind the mirror, forming a virtual image.

Image formation by a concave mirror depends on the object’s position. A virtual, erect, and magnified image is formed when the object is within the focal length (between P and F).

When the object is placed at the principal focus, the image is formed at infinity (real, inverted, highly magnified). When the object is at the centre of curvature, the image is also at the centre of curvature (real, inverted, same size). When the object is beyond the centre of curvature, the image is formed between the principal focus and the centre of curvature (real, inverted, diminished).

29. Which one of the following statements is not correct ?

Which one of the following statements is not correct ?

The longest wavelength of light visible to human eye is about 700 nm

The shortest wavelength of light visible to human eye is about 400 nm

The wavelength of gamma rays is longer than that of X-rays

The ability of a telescope to form separable images of close objects is called its resolving power

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The electromagnetic spectrum is ordered by wavelength (or frequency/energy). Moving from shorter wavelengths to longer wavelengths, the order is typically Gamma rays, X-rays, Ultraviolet, Visible light, Infrared, Microwaves, Radio waves. Therefore, gamma rays have shorter wavelengths than X-rays. The statement that the wavelength of gamma rays is longer than that of X-rays is incorrect.

Order of electromagnetic spectrum components by increasing wavelength: Gamma < X-ray < UV < Visible < IR < Microwave < Radio.

Statements A and B are correct descriptions of the approximate range of wavelengths for visible light, with red light (around 700 nm) having the longest wavelength and violet light (around 400 nm) having the shortest. Statement D provides a correct definition of resolving power, which is an important characteristic of optical instruments.

30. A particle executes linear simple harmonic motion with amplitude of 2

A particle executes linear simple harmonic motion with amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitudes of the velocity and the acceleration are equal. Then its time period (in seconds) is:

2π

2π/√3

√3/2π

2π√3

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For a particle executing simple harmonic motion (SHM) with amplitude $A$ and angular frequency $\omega$, the velocity $v$ at a displacement $x$ from the mean position is given by $v = \pm \omega \sqrt{A^2 – x^2}$, and the acceleration $a$ is given by $a = -\omega^2 x$. The magnitudes are $|v| = \omega \sqrt{A^2 – x^2}$ and $|a| = \omega^2 |x|$. Given $A=2$ cm, and at $x=1$ cm, $|v| = |a|$.
Substituting the values: $\omega \sqrt{2^2 – 1^2} = \omega^2 |1|$
$\omega \sqrt{4 – 1} = \omega^2$
$\omega \sqrt{3} = \omega^2$
Since $\omega$ for SHM is non-zero, we can divide by $\omega$:
$\sqrt{3} = \omega$.
The time period $T$ is related to angular frequency $\omega$ by $T = \frac{2\pi}{\omega}$.
$T = \frac{2\pi}{\sqrt{3}}$.

Formulas for velocity and acceleration in SHM are $|v| = \omega \sqrt{A^2 – x^2}$ and $|a| = \omega^2 |x|$. The time period is $T = 2\pi/\omega$.

The velocity is maximum at the mean position ($x=0$) and zero at the extreme positions ($x=\pm A$). The acceleration is maximum at the extreme positions and zero at the mean position. The relationship between velocity and displacement is elliptical in phase space, while the relationship between acceleration and displacement is linear.