List of practice Questions

(a) A circular coil of 30 turns and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 60° with the normal of the coil. Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning.
(b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area? (All other particulars are also unaltered.)

निम्नलिखित गद्यांश की सप्रसंग व्याख्या कीजिए :
हरगोबिन ने कुछ नहीं खाया। खाया नहीं गया। संवइद्या टकर खाता है और ‘अफर’ कर सोता है, किंतु हरगोबिन को नींद नहीं आ रही है। यह उसने क्या किया? क्या कर दिया? वह किसलिए आया था? वह झूठ क्यों बोला? नहीं, नहीं सुबह उठते ही वह बूढ़ी माता को बड़ी बहुरिया का सही संवाद सुना देगा — अक्षर-अक्षर, ‘मायजी, आपकी इकलौती बेटी बहुत दुख में है। आज ही किसी को भेजकर बुलवा लीजिए। नहीं तो वह सचमुच कुछ कर बैठेगी। आखिर, किनके लिए वह इतना सहेगी! बड़ी बहुरिया ने कहा है, भाभी के बच्चों की जूठन खाकर वह एक कोने में पड़ी रहेगी...।’ रात भर हरगोबिन को नींद नहीं आई। आँखों के सामने बड़ी बहुरिया बैठी रही — सिसकती, आँसू पोंछती हुई।

निम्नलिखित गद्यांश की सप्रसंग व्याख्या कीजिए :
थाना बिंधपुर स्टेशन पर गाड़ी पहुँची तो हरगोबिन का जी भारी हो गया। इसके पहले भी कई भला-बुरा संवाद लेकर वह इस गाँव में आया है, कभी ऐसा नहीं हुआ। उसके पैर गाँव की ओर बढ़ ही नहीं रहे थे। इसी पंडंडी से बड़ी बहुरिया अपने मैके लौट आयेगी। गाँव छोड़कर चली जायेगी। फिर कभी नहीं आयेगी। हरगोबिन का मन कल्पने लगा – तब गाँव में क्या रह जाएगा? गाँव की लक्ष्मी ही गाँव छोड़कर जायेगी! \ldots{} किस मुँह से वह ऐसा संवाद सुनाएगा? कैसे कहेगा कि बड़ी बहुरिया बझड़ा-सागा खाना गुज़ारा कर रही है? सुनने वाले हरगोबिन के गाँव का नाम लेकर थूकेंगे – कैसा गाँव है, जहाँ लक्ष्मी जैसी बहुरिया दुख भोग रही है!

You spill a bucket of soapy water on a marble floor accidently. Would it make it easier or more difficult for you to walk on the floor? Why

English is a language that contains words from many other languages. This inclusiveness is one of the reasons it is now a world language, for example:
Petite – French
Kindergarten – German
Capital – Latin
Democracy – Greek
Bazaar – Hindi
Find out the origin of the following words.
Tycoon Barbecue Zero
Tulip Veranda Ski
Logo Robot Trek
Bandicoot

If A=$\begin{bmatrix}2&-1&1\\-1&2&-1\\1&-1&2\end{bmatrix}$verify that A³-6A²+9A-4 I=0 and hence find A^-1

Solve the linear equation: $m-\frac{m-1}{2}=1-\frac{m-2}{3}$

Solve: 24x < 100, when

x is a natural number.
x is an integer.

∆ABC is inscribed inside a circle and there is a point D on the arc BC opposite to A such that BD = CD. If ∠BAC = 70° and ∠ABD = 85°, then find the measure of ∠BCA.

Write the mechanism of the following reaction : nBuBr+KCN→EtOH-H₂O nBuCN

Match the items given in Column I with those in Column II:
Column I Column II
Chlorophyll Rhizobium
Nitrogen Heterotrophs
Cuscuta Pitcher plant
Animals Leaf
Insects Parasite

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
It's taken me six decades, but recently I had a profound realization: Every aspect of existence requires continuous energy and order to sustain itself. This fundamental truth, encapsulated in the second law of thermodynamics, states that everything tends towards disorder over time. This realization isn't just a reflection of aging; it's a deeper understanding that even seemingly inert objects—stones, iron columns, copper pipes, gravel roads, or a piece of paper—inevitably degrade without ongoing maintenance and the infusion of additional order. It appears that the essence of existence itself is largely about maintenance.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
The era of the internal combustion engine is nearing its end, evidenced by various indicators. Major automakers are increasingly transitioning to hybrid vehicles. Volvo, for instance, has committed to ceasing production of purely petrol-engined cars by 2019. Additionally, Tesla has introduced its first electric car aimed at middle-class consumers—the Tesla 3, priced at $35,000 in the US. Over 400,000 people have already made refundable deposits for this model, with thousands having received their cars. Tesla aims to sell another half a million units next year, a notable achievement considering its limited range and the scarcity of charging stations.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Most accomplished senior managers depart from the traditional rational model, which prioritizes goal-setting, option analysis, problem-solving, and decision-making. Instead, these leaders often rely on intuition—a blend of instinct and nuanced understanding—when making daily strategic decisions to navigate a complex network of interconnected challenges. These issues are defined by uncertainty, conflicting information, creativity, and unexpected developments. They integrate deliberate action with intuitive insights to craft decisions that naturally align with their operational strategies.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
"It does seem to me that the job of comedy is to offend,or have the potential to offend,and it cannot be drained of that potential," Rowan Atkinson said of cancel culture. "Every joke has a victim. That's the definition of a joke. Someone or something or an idea is made to look ridiculous." The Netflix star continued,"I think you've got to be very, very careful about saying what you're allowed to make jokes about. You've always got to kick up? Really?" He added,"There are lots of extremely smug and self-satisfied people in what would be deemed lower down in society,who also deserve to be pulled up. In a proper free society,you should be allowed to make jokes about absolutely anything."

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
As Soviet power declined, the world became to some extent multipolar, and Europe strove to define an independent identity. What a journey Europe has undertaken to reach this point. It had in every century changed its internal structure and invented new ways of thinking about the nature of international order. Now at the culmination of an era, Europe, in order to participate in it, felt obliged to set aside the political mechanisms through which it had conducted its affairs for three and a half centuries. Impelled also by the desire to cushion the emergent unification of Germany, the new European Union established a common currency in 2002 and a formal political structure in 2004. It proclaimed a Europe united, whole, and free, adjusting its differences by peaceful mechanisms.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
For years, movies and television series like Crime Scene Investigation (CSI) paint an unrealistic picture of the “science of voices.” In the 1994 movie Clear and Present Danger an expert listens to a brief recorded utterance and declares that the speaker is “Cuban, aged 35 to 45, educated in the […] eastern United States.” The recording is then fed to a supercomputer that matches the voice to that of a suspect, concluding that the probability of correct identification is 90%. This sequence sums up a good number of misimpressions about forensic phonetics, which have led to errors in reallife justice. Indeed, that movie scene exemplifies the so-called “CSI effect”—the phenomenon in which judges hold unrealistic expectations of the capabilities of forensic science.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
For nearly a century most psychologists have embraced one view of intelligence. Individuals are born with more or less intelligence potential (I.Q.); this potential is heavily influenced by heredity and difficult to alter; experts in measurement can determine a person’s intelligence early in life, currently from paper-and-pencil measures, perhaps eventually from examining the brain in action or even scrutinizing his/her genome. Recently, criticism of this conventional wisdom has mounted. Biologists ask if speaking of a single entity called “intelligence” is coherent and question the validity of measures used to estimate heritability of a trait in humans, who, unlike plants or animals, are not conceived and bred under controlled conditions.

If 4^(4b-3a) = 2^(2b+c)= 8^(c-a)and a + b + c = 11, then find the value of $4(\frac{1}{ab}+\frac{1}{bc}+\frac{1}{ca})$

If conductivity of water used to make saturated of AgCl is found to be $3.1\times10^{-5}Ω^{-1}cm^{-1}$ and conductance of the solution of AgCl = $4.5\times10^{-5}Ω^{-1}cm^{-1}$

If $λ^θ$ AgNO_{3 =}$200 Ω^{-1}cm^{2}mole^{-1}$

$λ^θ$NaNO₃ = $310 Ω^{-1}cm^{2}mole^{-1}$

calculate K_sp of AgCl

Mention the various ways in which the British and the German soldiers become friends and find things in common at Christmas.