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A sphere of mass m and radius R is kept on a rough horizontal floor. Constant force Facts at the top point of sphere along tangent. If there is sufficient friction on the floor to support pure rolling then calculate acceleration of sphere.

The magnetic induction due to a short magnet at a distance of 20 cm on the axial line of a short bar magnet is 1.5xx10^(-6)" Wb/m"^(2) . What is the magnetic induction at a point on its axis at a distance of 5 cm from the centre of the magnet?

A bar magnet is put on the hanger of oscillation magnetometer and is made to oscillate in earth's magnetic field. Frequency of oscillation of bar magnet is found to be 3 Hz at a place where horizontal component of earth's magnetic field is 25 muT . Now a short magnet is placed to the north of magnetometer in such a manner that its North Pole points towards north. Distance of short magnet from the bar magnet hanging inside the magnetometer is 1 m. Frequency of oscillation now becomes 6 Hz. What is magnetic moment of short magnet?

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. Average number of short questions answered by A, B, C and D is 11.75, then the total marks scored by C in the English exam is

Suppose that out of 1000 koffspring in the F_(2) generation of a dihybrid cross, 748 are tall and hairy, 6 are tall and smooth, 4 are short and hairy 242 are short and smooth.The reason is that the genes controlling these characters are

A cell of emf 6 V and resistance 0.5 ohm is short circuited. The current in the cell is

"Makeup Pacing Fancy Oatmeal" is written as "N6Q6G5Q7" If the code for the words ' fact facings ____________' is coded as 'U4 G7 T5' in the coded language then what will be the missing word ?