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Consider the following statements: 1. If x is directly proportional to z and y is directly proportional to z, then (x2 - y2) is directly proportional to z2. 2. If x is inversely proportional to z and y is inversely proportional to z, then (xy) is inversely proportional to z2. Which of the above statements is/are correct?
How is the degree of emulsion polymerization related to the monomer concentration, and the rate of radical generation, Ri? , inversely proportional to Ri b) inversely proportional to Ri, directly proportional to . c) directly proportional to Ri, independent of . d) directly proportional to , independent of Ri
Considered the following statements about the characteristics of contours - (1) Closed contour lines with higher values inside show a lake, (2) Contour is an imaginary line joining points of equal elevations, (3) Closely spaced contour lines indicate a steep slope. (4) Contour lines of equal height may not converge nor continue as one line but a single contour line may split into two lines Which of the statements given above are correct?
Consider the following statement for a ball falling in a viscous fluid: a) The viscous force is directly proportional to the radius of the ball b) The viscous force is directly proportional to the velocity of the ball c) The viscous force is inversely proportional to the radius of the ball d) The viscous force is inversely proportional to the velocity of the ball Which of the above statements are correct?
Consider the following statements for Euler’s equation to find the critical load of a column : 1. Critical load of a column is proportional to the flexural rigidity. 2. Critical load of a column depends upon yield stress. 3. Critical load of a column is inversely proportional to the length of the column. 4. Critical load of a column is inversely proportional to the square of the length of the column. Which of the above statements are correct?
Mean Value theorem is applicable to the and continuous in open interval (a, b) b) Functions continuous in closed interval only and having same value at point ‘a’ and ‘b’ c) Functions continuous in closed interval and differentiable in open interval (a, b) d) Functions differentiable in open interval (a, b) only and having same value at point ‘a’ and ‘b’
Arrange in the correct sequence from the lowest to the highest scale of measurement.
1. Interval scale
2. Ordinal scale
3. Ratio scale
4. Nominal scale
The marks of 30 students in a test is shown as follows: 12, 16, 22, 24, 11, 7, 9, 11, 13, 14, 17, 19, 18, 21, 22, 23, 8, 9, 17, 16, 14, 23, 24, 24, 23, 17, 18, 16, 11, 9  Which Tally table represent the correct data of the marks of the students. (A) Interval of marks Tally marks of students 0-5 0 5-10 ||||  10-15 |||| || 15-20 |||| |||| 20-25 |||| ||||   (B)  Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| ||| 15-20 |||| |||| 20-25 |||| || (C) Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| || 15-20 |||| |||| 20-25 |||| || (D) Interval of marks Tally marks of students 0-5 0 5-10 ||||  10-15 |||| || 15-20 |||| ||| 20-25 |||| ||||
Rolle’s theorem is applicable to the and continuous in open interval (a, b) only and having same value at point ‘a’ and ‘b’ b) Functions continuous in closed interval only and having same value at point ‘a’ and ‘b’ c) Functions continuous in closed interval and differentiable in open interval (a, b) only and having same value at point ‘a’ and ‘b’ d) Monotonically Increasing funtions
Which of the following statements is/are true? i. Contour lines cross valley line at 90°. ii. Contour lines cross ridge line at 90°. iii. Contour lines are widely spaced where ground has steep slope.