This set of Surveying Multiple Choice Questions & Answers (MCQs) focuses on “Method of Correlates”.
1. In order to form a normal equation, _____________ are needed.
a) Algebraic coefficients
b) Probability equation
c) Probability law
d) Probability curve
Explanation: This implies the rule 1 of the normal equation. It indicates that for the formation of the normal equation with unknown quantities, the algebraic coefficient must be multiplied with that unknown quantity and must add the obtained results.
2. Correlates can also be known as_____________
a) Unknown multiples
b) Known multiples
c) Eccentric multiples
d) Centric multiples
Explanation: The correlates are also known as the unknown multiples, which are used for finding most probable values of unknowns. It is more preferable when the case is more complex to be solved.
3. All conditions are to be collected and used in which of the following case?
a) Most probable value
b) Normal equation
c) Method of correlates
d) Probability law
Explanation: The method of correlates is used in case of more complexity. In that case, it involves the usage all the information available and the conditions mentioned so that it provides the result regarding the problem raised.
4. Determine the value of correction if the wave length is given as 25m, having weight 6.
Explanation: The value of correction can be determined in correction method by using the formula mentioned as below,
E = λ / w. on substitution, we get
E = 25 / 6
E = 4.17.
5. Which of the following condition is to be used when the equal weights are introduced?
a) e12 – e22 – e32 = 0
b) e12 + e22 + e32 = 0
c) e12 + e22 – e32 = 0
d) e12 – e22 + e32 = 0
Explanation: In case of equal weights, the summation of squares of the corrections must be used. It must be equal to zero so as to reduce the errors introduced by this method.
6. In case of method of correlation, the error is distributed to every observation.
Explanation: It is a primary rule in every surveying method employed. It helps in equal distribution of error which can actually increase the rate of output and the accuracy of the output.
7. Find the value of E if the wavelengths of different lines are given as 63m and 54m, having weights 6 and 7 respectively.
Explanation: The determination of the value E involves in substitution of the values in the below-given equation,
E = λ1(1/w1 + 1/w2) – λ2(1/w1 + 1/w2). On substitution, we get
E = 63*(1/6 + 1/7) – 54*(1/6 + 1/7)
E = 2.78.
8. Which of the following describes the work done by the method of correlates?
a) Reducing the mean work
b) Neglecting the arithmetic work
c) Increasing the arithmetic work
d) Reducing the arithmetic work
Explanation: Method of correlates involve in reducing the arithmetic work. It includes determination of the corrections for wave length and their weights which help in establishing a network of information.
9. Ample conditions were used in method of correlates.
Explanation: Method of correlation involves in determining the multiples or the individual constants, which can be further used for finding the probable values of unknowns. For finding these, a lot of conditions were established.
10. If the value of wave length is given as 21m with different weights 6 and 2, find the value of E.
Explanation: The value of E for a single wave length with dual weights can be given as
E = λ*(1/w1 + 1/w2). On substitution, we get
E = 21*(1/6 + 1/2)
E = 14.
Sanfoundry Global Education & Learning Series – Surveying.
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