if a solution has 100 times as many hydroxide ions as in pure water at 25ºc, then the ph of the solution at the same temperature will be
Temp = 25oC So, No of hydroxide in pure water is 10−7 A/C to this condition no of hydroxide ion... View Article
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if heat of atomisation of ch4(g) is x kj mol–1 then the bond energy of c – h bond (in kj/mol) will be
CH4 → C + 4H, ΔH= + 1665 kJ mol-1, Bond energy of (C – H) bond = 1665/4 =... View Article
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Given, Selling price (SP) = Rs. 392 Profit percent = 22.5% Cost price (CP) = (100/122.5) × Rs. 392 =... View Article
Find the integration of sinx cosx dx.
We know that, sin 2x = 2 sinx cosx So, sinx cosx = (1/2) sin 2x Now, ∫ sinx cosx... View Article
Find the value of root 53.
The value of root 53 or the square root of 53 is:√53 = 7.28…This can be calculated by the long... View Article
What are the benefits of Vedic maths?
Some of the benefits of Vedic maths are listed below: Calculations become easy and short. We can do simplifications in... View Article
What are factorial numbers?
Factorial of numbers can be calculated using the formula:n! = 1 × 2 × 3 × 4 × 5 ×... View Article
What is a perfect square number?
An integer that can be expressed as the square of another integer is called a perfect square. In other words,... View Article
Find the area bounded by the inverse of bijective function f(x) = 4x^3 + 6x, the x-axis and the ordinates x = 0 and x = 44.
Given bijective function is: f(x) = 4x3 + 6x f(0) = 4(0)3 + 6(0) = 0 ⇒ f-1(0) = 0... View Article
What is a Fibonacci sequence?
The Fibonacci sequence is the sequence of numbers in which each number in the sequence is equal to the sum... View Article
What are maxima and minima?
For any given function, we can estimate the minimum and maximum values. Maxima and minima are the maximum and minimum... View Article
Find the integral of ln x.
Let us find the integral of ln(x).∫ ln(x) dxWe know that, ∫u dv=uv − ∫vduLet u = ln(x) and dv... View Article
Prime factorization of 396 is
The prime factorization of 396 is 22 × 32 × 111, where 2, 3 and 11 are prime numbers We... View Article
15/16 in decimal form is
15/16 in decimal form is 0.9375 The fraction 15/16 is a proper fraction, as the numerator is smaller than the... View Article
If you’re going at 80 mph, how long will it take to go 80 miles?
Given: Speed = 80mph Distance = 80 miles We know that, Distance = Speed × Time Hence, Time = Distance/Speed... View Article
Simplify root 45
Root 45 means square root of 45. I.e.,√45 Square root of 45 can be simplified as follows: √45 = √(9×5)... View Article
Integration of lnx dx is
The integration of ln x dx is x ln(x) – x + C. Explanation: To find ∫ln(x)dx, we can use... View Article
A die is rolled. If X denotes the number of positive divisors of the outcomes then the range of the random variable X is
(a) {1, 2, 3} (b) {1, 2, 3, 4} (c) {1, 2, 3, 4, 5, 6} (d) {1, 3, 5}... View Article
Solution of the differential equation (2x-10y^3)(dy/dx)+y=0 is
The solution of the differential equation (2x-10y3)dy/dx+ y=0 is xy2 = 2y5 + C. Explanation: Given differential equation: (2x-10y3)dy/dx+ y=0... View Article
A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a beggar waiting outside the shop. She spent half of what was left on lunch and followed that up with a two rupee tip. She spent half of the remaining amount on the book and three rupees on bus fare. When she reached home, she found that she had exactly one rupee left. How much money did she start with?
Assume that the lady started with Rs. x. At shopping, she spent half of what she had. Hence, x/2. Therefore,... View Article
