Q2.The alkali metals dissolve in liquid ammonia giving deep blue solutions. When they become diamagnetic, the solution turns into
Answer : Option CExplaination / Solution:
When the solution become diamagnetic due to formation of electron cluster in which ammoniated electron with opposite spin group- it changes its color to bronze.
Answer : Option AExplaination / Solution:
In electronics and telecommunications , modulation is the process of varying one or more properties of a periodic waveform, called the carrier signal, with a modulating signal that typically contains information to be transmitted. Most radio systems usea frequency modulation (FM) or amplitude modulation (AM) to make the carrier carry the radio broadcast.
Q5.What was the condition of agriculture at the time of independence
Answer : Option DExplaination / Solution:
India’s economy under the British colonial rule remained fundamentally agrarian. The main cause of the low productivity of agricultural sector and the new land tenure that was introduced by British rulers in India.
Q7.The sum of frequencies for all classes will always equal
Answer : Option BExplaination / Solution:
If we collect the marks of 50 students in a test of 100 marks paper, we can present the data in the form of frequency distribution, marks can be shown as 10-20, 20-30, etc and corresponding frequencies will be number of students. If we do the total of frequencis we will get 50 students which is nothing but a number of elements in a data set.
Answer : Option DExplaination / Solution:
Rural development is the process of improving the quality of life and economic well-being of people living in rural areas, often relatively isolated and sparsely populated areas.
Q9.Given vectors a, b, c, d and a + b + c + d = 0, which of the following statements not correct?
Answer : Option CExplaination / Solution:
In order to make vectors a + b + c + d = 0, it is not necessary to have all the four given vectors to be null vectors. There are many other combinations which can give the sum zero.
(b) Correct
a + b + c + d = 0
a + c = – (b + d)
Taking modulus on both the sides, we get:
| a + c | = | –(b + d)| = | b + d |
Hence, the magnitude of (a + c) is the same as the magnitude of (b + d).
(c) Correct
a + b + c + d = 0
a = – (b + c + d)
Taking modulus both sides, we get:
| a | = | b + c + d |
| a | ≤ | a | + | b | + | c | ..... (i)
Equation (i) shows that the magnitude of a is equal to or less than the sum of the magnitudes of b, c, and d.
Hence, the magnitude of vector a can never be greater than the sum of the magnitudes of b, c, and d.
(d) Correct
For a + b + c + d = 0
a + (b + c) + d = 0
The resultant sum of the three vectors a, (b + c), and d can be zero only if (b + c) lie in a plane containing a and d, assuming that these three vectors are represented by the three sides of a triangle.
If a and d are collinear, then it implies that the vector (b + c) is in the line of a and d. This implication holds only then the vector sum of all the vectors will be zero.