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A uniform constant magnetic field B is directed at an angle of 45^(@) to the x axis in the xy - plane . PQRS is a rigid, square wire frame carrying a steady current I_(0) , with its centre at the origin O . At time t = 0 , the frame is at rest in the position as shown in figure , with its sides parallel to the x and y axis. Each side of the frame is of mass M and length L . (a) What is the torque tau about O acting on the frame due to the magnetic field? (b) Find the angle by which the frame rotates under the action of this torque in a short interval of time Deltat , and the axis about this rotation occurs . ( Deltat is so short that any variation in the torque during this interval may be neglected .) Given : the moment of interia of the frame about an axis through its centre perpendicular to its about an axis through its centre perpendicular to its plane is (4)/(3) ML^(2) .

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A bus is moving with a uniform speed travelling a certain distance in a certain time. The speed of the bus is directly proportional to the distance travelled and inversely proportional to the square root of time. It travels is 60 km in 4 hours at a speed of 40 km/h. Then find how much distance will travel in 9 hours at a speed of 44 km/h?

One fourth of a herd of camels was seen in the forest.Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river.Find the total number of camels.

One fourth of a herd of camels was seen in the forest.Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river.Find the total number of camels.

Study the following information carefully and answer the given questions. In a school 4 students A, B, C and D appeared in an English examination which is consist of 15 short and 4 long questions are asked. Each of short question carry 5 marks and each of long questions carry 10 mark and for a spelling error 0.5 mark is deducted. For not attempting a question, zero marks is awarded. In the English exam, A answered (x + 6) short questions, x long questions and did (2x + 10) spelling errors. Ratio of number of spelling errors made by A and B is 8 : 3. Total marks scored by D is 86. Ratio of short and long questions answered by B In the English exam is 5 : 1 and he scored total 102 marks. C scored 35 marks more in short questions than long questions except spelling errors and the number of spelling errors made by C is equal to the difference of the number of spelling errors made by A and B. Number of short questions answered by D is average of that answered by A and B. Percentage of number of long questions answered among all the question answered by D is 20% . Average of the number of spelling errors made by all four students A, B, C and D is 10. Each student attempts integral number of short as well as long questions. Total marks scored by A is how much less than the total marks scored by B is

The rupee, which is currently the worst-performing currency in Asia, is finally receiving some help from the authorities. The Union government, after a meeting with Reserve Bank of lndia Governor, announced a list of measures to (A) the sharp declme in the currency, which has lost about 12% of its value since the beginning of the year. (B) These include steps to curb the import of non-essential goods and encourage the export of domestic goods, which will help in addressing the country's burgeoning current account deficit that hit a five-year high in July. (C) Other steps such as removing restrictions on foreign portfolio investments and encouraging (1) Indian borrowers to facilitate (2) rupee-denominated 'masala bonds' were also announced (3) to issue (4) the inflow of dollars and de-risk the economy from fluctuations in the exchange rate. Further, the term limit imposed on borrowings of manufacturing companies is to be shortened further (D) _____ . The response to the move from the markets will need to be carefully tracked. Even before the official announcement on Friday, the rupee witnessed some recovery against the dollar (E) hopes of favourable government intervention, while stocks and bonds also recovered. These steps to strengthen the rupee in the short term are welcome, given the large-scale outflow of capital from emerging markets to the West. These ad hoc steps to avoid an immediate (F) crisis in the external sector, however, should not deflect attention from the more fundamental reasons behind the decline of the rupee. India has been unable to boost exports over the years for various reasons. (G) This has meant that the rise in the price of oil has traditionally exerted tremendous stress on the current account deficit and the currency, as is happening now. (H) The government needs to think of a long-term plan ( 1) to boost (2) exports, preferably through growth (3) that remove policy barriers that are impeding the steps (4) of export-oriented sectors, in order to find a sustainable solution to the problem of the weakening rupee. The depreciating rupee is also a symptom of persistently higher domestic inflation in India over many decades. For example, in line with vastly different inflation rates in India and the U.S., the rupee has lost about 60% of its value in the last 10 years against the dollar. (I) So this problem cannot be addressed without drastic changes in the style in monetary policy conducted by the RBI, which is an unlikely proposition. Until then, the best that can be (J) __ for is a steady drop in the value of the rupee without any drastic shocks to the economy. Which of the following words given in the option should come at the place marked as (A) in the above paragraph to make it grammatically correct and meaningful. Also, the word should fill in the two sentences given below to make them contextually correct and meaningful. (i) The king built a great temple, a hippodrome and a street of columns surrounding the city, the remains of which still the attention. (ii) His had caused great indignation.

The rupee, which is currently the worst-performing currency in Asia, is finally receiving some help from the authorities. The Union government, after a meeting with Reserve Bank of lndia Governor, announced a list of measures to (A) the sharp declme in the currency, which has lost about 12% of its value since the beginning of the year. (B) These include steps to curb the import of non-essential goods and encourage the export of domestic goods, which will help in addressing the country's burgeoning current account deficit that hit a five-year high in July. (C) Other steps such as removing restrictions on foreign portfolio investments and encouraging (1) Indian borrowers to facilitate (2) rupee-denominated 'masala bonds' were also announced (3) to issue (4) the inflow of dollars and de-risk the economy from fluctuations in the exchange rate. Further, the term limit imposed on borrowings of manufacturing companies is to be shortened further (D) _____ . The response to the move from the markets will need to be carefully tracked. Even before the official announcement on Friday, the rupee witnessed some recovery against the dollar (E) hopes of favourable government intervention, while stocks and bonds also recovered. These steps to strengthen the rupee in the short term are welcome, given the large-scale outflow of capital from emerging markets to the West. These ad hoc steps to avoid an immediate (F) crisis in the external sector, however, should not deflect attention from the more fundamental reasons behind the decline of the rupee. India has been unable to boost exports over the years for various reasons. (G) This has meant that the rise in the price of oil has traditionally exerted tremendous stress on the current account deficit and the currency, as is happening now. (H) The government needs to think of a long-term plan ( 1) to boost (2) exports, preferably through growth (3) that remove policy barriers that are impeding the steps (4) of export-oriented sectors, in order to find a sustainable solution to the problem of the weakening rupee. The depreciating rupee is also a symptom of persistently higher domestic inflation in India over many decades. For example, in line with vastly different inflation rates in India and the U.S., the rupee has lost about 60% of its value in the last 10 years against the dollar. (I) So this problem cannot be addressed without drastic changes in the style in monetary policy conducted by the RBI, which is an unlikely proposition. Until then, the best that can be (J) __ for is a steady drop in the value of the rupee without any drastic shocks to the economy. In the passage given, a sentence (B) is given in italics, There may or may not be an error in one part of the sentence. Choose the part which has an error in it as your answer. If there is no error then choose option (e) as your answer.