In the following reaction the energy released is 4 1H1 → 2He4 + 2 +1e0 + energy
In short wave communication waves of which of the following frequencies will be reflected back by the ionospheric layer having electron density 1011 per m-3?
The heats of dissociation (k.cals/mole) of methane and ethane are 360 and 620 respectively. From these, C - C bond energy (k.cals/mole) in ethane can be evaluated as
A compound A has molecular formula C₂Cl₃OH. It reduce Fehling's solution and on oxidation gives a monocarboxylic acid B. A is obtained by the action of Cl₂ on ethyl alcohol. A is
The equivalent conductivity of 0.1 M weak acid is 100 times less than that at infinite dilution.The degree of dissociation is
The pH of aqueous KCl solution is 7.0. This solution was electrolysed for a few seconds using Pt electrodes. Which of the following is correct?
When the densities of the ore particles and gangue particles are different, then the ore is concentrated by
The sum of the digits in the unit place of all the numbers formed with the help of 3,4,5,6 taken all at a time is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): The function f(x)=sin x is symmetric about the line x = 0
Reason (R): Every even function is symmetric about y-axis
The combined equation to the tangents to the parabola y2 = 4ax from an external point A (x1, y1) is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): ex , loge x are two functions such that each is the image of the other with respect to the line x = y
Reason (R): The inverse of every bijective function is symmetric about the line x = y
M telegrams are distributed at random over N communication channels (N > M). The probability of the event
A = {not more than one telegram will be sent over any channel} is
Let f(x) be a function satisfying f ′(x) = f (x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x2, then value of integral
is equal to
The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as follows
If N N + denotes the set of all positive integers and if f : NN + → N is defined by f (n) = the sum of positive divisors of n then f (2 k . 3), where k is a positive integer is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion (A): If n is a positive integer then 32n + 7 is divisible by 8
Reason (R): G.C.F. of 16 and 88 is 8
What is the chance that a leap year should have 53 sundays?
The differential equation which represents the family of plane curves y=exp. (cx) is
The probability of A = probability of B = probability of C = 1/4, P(A∩B) = P(C∩B) = 0 and P(A∩C) = 1/8, then P(A∪B∪C) is equal to: