List of practice Questions

The pH of a 10 ml aqueous solution of HCl is 4. The amount of water to be added to this solution in order to change its pH from 4 to 5 is:
A current of 2 amp when passed for 5 hours through a molten salt deposits 22.2 g of metal of atomic mass 177. The oxidation state of the metal in the metal salt is:
Ammonia is generally excreted through which of the following?
Sucrose is also called as ____.
H0 soil thickness is 10 m and final settlement is 50 mm = total primary consolidation settlement. After 300 days settlement is 10 mm. Additional time for 50% primary consolidation settlement?
The following numbers are obviously not perfect squares. Give reason. 
  1. 1057 
  2. 23453 
  3. 7928 
  4. 222222 
  5. 64000 
  6. 89722 
  7. 222000 
  8. 505050
What are the different ways in which Tilly’s parents could have reacted to her behaviour? What would you have done if you were in their place?
An inflated balloon was pressed against a wall after it has been rubbed with a piece of synthetic cloth. It was found that the balloon sticks to the wall. What force might be responsible for the attraction between the balloon and the wall?
Let \(f(x) = \frac{(1 - cos 4x)}{x^2}\), if x < 0 and a, if x = 0 and \(\sqrt{\frac{x}{(\sqrt{(16+\sqrt{x})}-4)}}\), if x > 0}. If \(f(x)\) is continuous at x = 0, determine the value of a.
Which of the following having negative skamptam Pore water coefficient?
Check that the ratio \(\frac{ke^2}{ Gm_e m_p}\) is dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio signify?
In Exercises 7.3 and 7.4, what is the net power absorbed by each circuit over a complete cycle. Explain your answer.
(a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
(b) Explain why two field lines never cross each other at any point?
Sulphuric acid reacts with sodium hydroxide as follows.H2SO4 + 2NaOH ⇒ Na2SO4 + 2H2Ohen 1L of 0.1 M sulphuric acid solution is allowed to react with 1 L of 0.1 M sodium hydroxide solution, the amount of sodium sulphate formed and its molarity in the solution obtained is
Which of the following is the most suitable reagent used to distinguish compound (3) from rest of the compounds? 1. CH3−C≡C−CH32. CH3−CH2−CH2−CH33. CH3−CH2C : CH4. CH3−CH=CH2
A number is divisible by both 5 and 12. By which other number will that number be always divisible?
(a) Write a pair of negative integers whose difference gives 8.
(b) Write a negative integer and a positive integer whose sum is –5.
(c) Write a negative integer and a positive integer whose difference is –3.
Do you think Tilly’s mother was alarmed by them?
Find the area of rectangle whose length is 5.7cm and breadth is 3 cm.
A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. What is the ratio of their lengths?
In 2024, we are celebrating the 50th anniversary of Hawking's groundbreaking formula, a landmark in scientific theory that uncovers the remarkable nature of black holes. When Hawking passed away in March 2018 at the age of 76, his wish was honored, and the formula was inscribed on his tombstone in Westminster Abbey. He donated his office and personal belongings to the nation instead of paying inheritance tax. While sorting through Hawking's possessions, my colleagues at the Science Museum in London discovered the profound impact of the formula, which appeared in his papers, written bets, keepsakes, and even a silver beaker presented to him by the producers of the 2015 Hollywood movie "The Theory of Everything."
The idea behind black holes, which are the focus of this notable equation, was contemplated by theorists long before any tangible proof was found. In 1783, John Michell, a parson in Thornhill near Leeds, speculated about 'dark' stars using Sir Isaac Newton's principles. Newton regarded gravity as a force and light as particle-based. Michell suggested that light particles from a star would slow down due to the star's gravity, akin to how a bullet decelerates when fired into the sky from Earth. If the star’s gravity was intense enough, it would pull the light back to the surface. Although Michell's concept hinted at black holes, he was incorrect in crucial aspects. Albert Einstein’s 1915 theory of general relativity, which posits that the speed of light is constant, redefined gravity not as a force but as a distortion of spacetime, combining space and time. Earth, for example, bends the Universe in this manner, causing satellites to orbit along these curves, which we interpret as gravity.
Soon after Einstein released his theory, Karl Schwarzschild, a German artillery officer and physicist, used Einstein’s equations to propose that a mass could warp spacetime so severely that it would become invisible. However, his conclusions did not gain much recognition. In 1939, American theoretical physicist J. Robert Oppenheimer, who would later become famous for his role in developing the atomic bomb, alongside Hartland Snyder, showed how a spherical dust cloud could collapse into a region from which light could not escape. Their work did not immediately persuade their contemporaries, though astronomers eventually found evidence of extremely dense objects.
In relation to Native American tribes, the idea of sovereign immunity is referred to as "tribal immunity." According to court decisions, Congress cannot have comprehensive jurisdiction over tribes under the Indian Commerce Clause unless it agrees to any litigation against a tribe. However, the concept of tribal immunity was developed by courts rather than politicians.
A Supreme Court justice has questioned whether tribal immunity is still applicable and stated that it would need to be reevaluated in the future, underscoring the need for a more thorough investigation of the idea. The Supreme Court created the idea in the United States v. United States Fidelity and Guaranty Co. ruling, ruling that Indian tribes are exempt from lawsuits unless Congress gives permission. The two main grounds for this exception, according to the Court, are the protection of tribal resources and the recognition of tribes as independent entities.
As the Court has emphasized in recent years, tribes are nonetheless endowed with all sovereign powers until specifically abrogated by Congress or proven to be inconsistent with their status. It is believed that they possess these types of talents naturally because of their restricted sovereignty. The Supreme Court has cited other cases that amply illustrate the crucial notion, even if it did not directly state it as a basis. Unlike the immunity of states, the federal government, and foreign nations, tribal immunity is unrestricted. Courts still use a broad interpretation of this doctrine, often declaring that a defendant—whether a state, local government, the federal government, or a foreign country—would be sued in state or federal courts.
For example, courts have often held that a tribe's immunity can only be waived with the tribe's or Congress's express consent. Implied exemptions are not usually upheld, in contrast to other governments, especially when tribal people do business on or off reservations. Purchasing insurance does not grant immunity as well. Tribal immunity therefore goes beyond that granted to states, the Native American tribes are not treated differently from other sovereign organizations when it comes to their economic or governmental activity. According to court rulings, it makes no difference if a tribe runs governmental, commercial, or private businesses. As such, tribal immunity continues to be more extensive than that of any other sovereign.
Before Joseph Glatthaar's "Forged in Battle," there had been several exceptional studies focusing on Black soldiers and their White commanders during the Civil War. However, Glatthaar's work distinguishes itself by utilizing a substantial collection of soldier letters and diaries, including rare documents from Black soldiers, and focusing on the interactions between Black and White soldiers within Black regiments. The book’s title succinctly encapsulates Glatthaar’s thesis: the shared perils faced by Black troops and their White officers in combat forged bonds of loyalty and respect between them.
Glatthaar thoroughly examines the government's biased treatment of Black soldiers, focusing on disparities in pay, promotion opportunities, medical care, and job assignments. He underscores the relentless efforts of Black soldiers and their officers to secure combat roles, despite army policies that largely confined Black units to rear-echelon positions and labor battalions. As a result, although Black units had a combat death rate that was only one-third of that of White units, their mortality rate from disease—a major cause of death during the war—was twice as high. Nevertheless, the valor and effectiveness demonstrated by several Black units in combat gradually won the respect of initially skeptical or hostile White soldiers. As one White officer remarked, "They have fought their way into the respect of all the army."
However, in his attempt to illustrate the extent of this shift in attitude, Glatthaar seems to overstate the prewar racism of the White men who became officers in Black regiments. He claims that “virtually all of them held powerful racial prejudices” before the war. While this might be true for those who joined Black units for personal gain, it misrepresents the many abolitionists who became officers in these regiments. These abolitionists, who had spent years fighting against the pervasive racial prejudice in American society, eagerly participated in this military experiment with the hope that it would advance African Americans' freedom and postwar civil equality. By contemporary standards of racial equality, their paternalism might be seen as racist. However, to describe their attitudes as "powerful racial prejudices" is to apply modern standards to a different historical context, which can lead to misinterpretation of their motives and actions.
The Impressionists openly rejected any philosophical connotations, although their avant-garde approach to painting had important philosophical implications. By drastically diverging from the conventional perspectives of artists on visual reality, they created a logical new mode of artistic expression. Greek painters even made the connection between abstract ideas and concrete shapes, demonstrating their concrete comprehension of the cosmos. This materialistic perspective dominated painting far into the nineteenth century. By contrast, the Impressionists felt that the fundamental element of visual reality was light, not substance. This viewpoint is aptly expressed by the philosopher Taine, who said, "The chief 'person' in a picture is the light in which everything is bathed."
The Impressionists held that all solid objects were connected by light and that any divisions between them were artificial. Solid objects were merely surfaces reflecting light. This alteration altered how color and outline were handled. It was discovered that color resulted from light vibrations on a colorless surface, refuting the earlier belief that color was an intrinsic feature of objects. Originally intended to indicate the edges of an item, outline is currently only used to indicate the boundaries of often overlapping patterns. Impressionist paintings saw the world as a sequence of surfaces reacting to light, rather than as a collection of distinct objects. Filtered light frequently produces the mosaic of colors seen in an Impressionist painting.According to Mauclair, "light becomes the sole subject of the picture," with the objects it illuminates playing a supporting role. This shift means that painting is no longer only a visual art form.
This ground-breaking new approach to art appreciation ignored all external ideas, whether they were moral, spiritual, or psychological, as well as any emotions that went beyond the purely aesthetic. The subjects of Impressionist paintings—people, places, and things—did not convey deeper meanings or tell tales. Instead, they merely served as elements of a light pattern that the painter used as inspiration from nature to create on canvas.
In a recent comprehensive survey of 500 employees, a company examined commuting preferences and the factors influencing transportation choices to work. The survey identified four main modes of transportation: Car, Bus, Bicycle, and Walking. Each mode revealed distinct reasons cited by employees for their preferences.
Among respondents, 40% favored commuting by Car. Key reasons included convenience and speed (60%), comfort (30%), and flexibility (10%). 25% of employees preferred the Bus. Reasons for choosing this mode included cost-effectiveness (50%), environmental concerns (30%), and availability (20%). Bicycle commuting was preferred by 20% of the surveyed employees. Reasons included health benefits (40%), environmental concerns (30%), and cost-effectiveness (30%). The remaining employees chose Walking as their preferred mode. They cited proximity to work (50%), health benefits (30%), and environmental concerns (20%) as their primary reasons.