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7. The value of π up to 50 decimal places is given below: 3.14159265358979323846264338327950288419716939937510 (i) Make a frequency distribution of the digits from 0 to 9 after the decimal point. (ii) What are the most and the least frequently occurring digits?
17
Oct
7. The value of π up to 50 decimal places is given below: 3.14159265358979323846264338327950288419716939937510 (i) Make a frequency distribution of the digits from 0 to 9 after the decimal point. (ii) What are the most and the least frequently occurring digits? 2. Classify the data in Q.1 above as primary or secondary data. October 17, [...]
A radioactive substance is being consumed at a constant rate of 1 s^-1. After what time will the number of radioactive nuclei become 100. Initially, there were 200 nuclei present.
17
Oct
A radioactive substance is being consumed at a constant rate of 1 s^-1. After what time will the number of radioactive nuclei become 100. Initially, there were 200 nuclei present. A radioactive substance is being consumed at a constant rate of 1 s^-1. After what time will the number of radioactive nuclei become 100. Initially [...]
6. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows: 0 1 2 2 1 2 3 1 3 0 1 3 1 1 2 2 0 1 2 1 3 0 0 1 1 2 3 2 2 0 Prepare a frequency distribution table for the data given above.
17
Oct
6. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows: 0 1 2 2 1 2 3 1 3 0 1 3 1 1 2 2 0 1 2 1 3 0 0 1 1 2 3 2 2 0 Prepare a frequency distribution table [...]
5. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows: 0.03 0.08 0.08 0.09 0.04 0.17 0.16 0.05 0.02 0.06 0.18 0.20 0.11 0.08 0.12 0.13 0.22 0.07 0.08 0.01 0.10 0.06 0.09 0.18 0.11 0.07 0.05 0.07 0.01 0.04 (i) Make a grouped frequency distribution table for this data with class intervals as 0.00 – 0.04, 0.04 – 0.08, and so on. (ii) For how many days, was the concentration of Sulphur dioxide more than 0.11 parts per million?
17
Oct
5. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows: 0.03 0.08 0.08 0.09 0.04 0.17 0.16 0.05 0.02 0.06 0.18 0.20 0.11 0.08 0.12 0.13 0.22 0.07 0.08 0.01 0.10 [...]
Two radioactive materials X1 and X2 have decay constants 10 lemda and lemda, respectively. If initially they have the same number of nuclei, the ratio of the number of nuclei of X1 to that
17
Oct
Two radioactive materials X1 and X2 have decay constants 10 lemda and lemda, respectively. If initially they have the same number of nuclei, the ratio of the number of nuclei of X1 to that respectively. If initially they have the same number of nuclei the ratio of the number of nuclei of X1 to that [...]
A system consists of two parallel plane carrying currents producing a uniform magnetic field of induction B between the planes. Outside this space there is no magnetic field. The magnetic force acting per unit area of each plane is found to be B2/Nμ0. Find N.
17
Oct
A system consists of two parallel plane carrying currents producing a uniform magnetic field of induction B between the planes. Outside this space there is no magnetic field. The magnetic force acting per unit area of each plane is found to be B2/Nμ0. Find N. B Cand D are also marked in the figure each [...]
A star initially has 10^40 deuterons. It produces energy via the process 2H1 + 2H1 gives 3He1 + p and 2H1 + 3H1 gives 4He2 + n . If the average power radiated by the star is 10^16 W, the deuteron supply of the star is exhausted in a time of the order of
17
Oct
A star initially has 10^40 deuterons. It produces energy via the process 2H1 + 2H1 gives 3He1 + p and 2H1 + 3H1 gives 4He2 + n . If the average power radiated by the star is 10^16 W, the deuteron supply of the star is exhausted in a time of the order of A [...]
4. The heights of 50 students, measured to the nearest centimeters, have been found to be as follows: 161 150 154 165 168 161 154 162 150 151 162 164 171 165 158 154 156 172 160 170 153 159 161 170 162 165 166 168 165 164 154 152 153 156 158 162 160 161 173 166 161 159 162 167 168 159 158 153 154 159 (i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 – 165, 165 – 170, etc. (ii) What can you conclude about their heights from the table?
17
Oct
4. The heights of 50 students, measured to the nearest centimeters, have been found to be as follows: 161 150 154 165 168 161 154 162 150 151 162 164 171 165 158 154 156 172 160 170 153 159 161 170 162 165 166 168 165 164 154 152 153 156 158 162 160 [...]
Consider one of fission reaction of 235U by thermal neutrons 235U92 + n gives 94Sr38 + 140Xe54 + 2n. The fission fragments are however unstable and they undergo successive beta decay until 94Sr38 becomes 94Zr40
17
Oct
Consider one of fission reaction of 235U by thermal neutrons 235U92 + n gives 94Sr38 + 140Xe54 + 2n. The fission fragments are however unstable and they undergo successive beta decay until 94Sr38 becomes 94Zr40 1.00 kg of 235 U undergoes fission process. If energy released per event is 200 MeV then the total energy [...]
3. The relative humidity (in %) of a certain city for a month of 30 days was as follows: 98.1 98.6 99.2 90.3 86.5 95.3 92.9 96.3 94.2 95.1 89.2 92.3 97.1 93.5 92.7 95.1 97.2 93.3 95.2 97.3 96.2 92.1 84.9 90.2 95.7 98.3 97.3 96.1 92.1 89 (i) Construct a grouped frequency distribution table with classes 84 – 86, 86 – 88, etc. (ii) Which month or season do you think this data is about? (iii) What is the range of this data?
17
Oct
3. The relative humidity (in %) of a certain city for a month of 30 days was as follows: 98.1 98.6 99.2 90.3 86.5 95.3 92.9 96.3 94.2 95.1 89.2 92.3 97.1 93.5 92.7 95.1 97.2 93.3 95.2 97.3 96.2 92.1 84.9 90.2 95.7 98.3 97.3 96.1 92.1 89 (i) Construct a grouped frequency distribution [...]