Science, Technology & Mathematics Fundamentals Quiz

When adding 0.1 and 0.1, we simply add the numbers: 0.1 + 0.1 = 0.2. This is straightforward decimal addition where we align decimal points and add the values.

When subtracting 0.1 from 0.1, the result is 0. Both '0' and '0.0' represent the same numerical value of zero, with the latter showing the decimal explicitly. This is correct.

When dividing 0.1 by 0.1, any non-zero number divided by itself equals 1. This is a fundamental division property: a ÷ a = 1 for any non-zero a. Therefore 0.1 ÷ 0.1 = 1.

The logarithm of 0 is undefined in real numbers. As x approaches 0 from the positive side, log(x) approaches negative infinity because you're asking "what power must I raise the base to, to get 0?" - no real number works.

The logarithm of 1 is always 0 in any base, because any number raised to the power of 0 equals 1. This is a fundamental property of logarithms: log_b(1) = 0 for all bases b > 0, b ≠ 1.

Using base 10: log(1+1) + log(2+3) = log(2) + log(5) = log(2×5) = log(10) = 1. This uses the logarithm property log(a) + log(b) = log(ab). Since 2 × 5 = 10 and log_10(10) = 1, the statement is true.

ln(e^(-1)) = -1 and ln(e^2) = 2, so their sum is -1 + 2 = 1. The right side is e ≈ 2.718. Since 1 ≠ e, the statement is false. Option A is incorrect.

sin(0) = 0, so cos(sin 0) = cos(0) = 1. Options A, B, and D are incorrect values. This question tests understanding of trigonometric function composition and the values of sin and cos at 0 radians.

The quadratic formula x = (-b ± √(b²-4ac))/2a is correctly known as Shreedharacharya's formula, named after the ancient Indian mathematician who discovered it. Pythagoras is associated with the Pythagorean theorem, not quadratic equations. The other options are fictional names.

JavaScript is a case-sensitive programming language. This means that variables, functions, and other identifiers must be referenced with the exact same capitalization they were declared with. For example, 'myVariable' and 'MyVariable' are different identifiers.

The 'var' keyword is used to declare variables in JavaScript. While modern JavaScript also supports 'let' and 'const' for variable declarations, 'var' was the original keyword and remains in use for legacy compatibility.

JavaScript is the common name for the language, but the official specification maintained by ECMA International is called ECMAScript. The language is standardized under this name to ensure consistency across different implementations (browsers, Node.js, etc.).

Brendan Eich created JavaScript in 1995 while working at Netscape Communications Corporation. He developed the language in just 10 days, and it was originally named Mocha before being renamed to JavaScript.

HTML uses the

document.write() is a standard JavaScript method that writes content directly to the HTML document. The other options (document.print, document.display, document.out) are not standard JavaScript methods.

Max Planck is credited with discovering the quantum theory of light in 1900 through his work on blackbody radiation. He introduced the concept that energy is emitted in discrete packets called 'quanta.' Einstein later expanded quantum theory with his work on the photoelectric effect, but Planck founded it.

The Michelson-Morley experiment in 1887 disproved the existence of luminiferous ether as the medium for light propagation. Their famous null result showed that the speed of light is constant in all directions, contradicting ether theory. This paved the way for Einstein's special relativity.

Heike Kamerlingh Onnes achieved ultra-low temperatures approaching absolute zero in 1908, discovering superconductivity in mercury in 1911. He was the first to liquefy helium and received the Nobel Prize in Physics in 1913 for his work. Isaac Asimov was a science fiction writer, while Michelson and Morley were involved in ether experiments.

Louis Daguerre invented the daguerreotype camera process in 1839, the first publicly available photographic process. The daguerreotype produced a unique positive image on a silvered copper plate. Galileo and Newton were from earlier centuries and not involved in photography.

Albert Einstein published the theory of General Relativity in 1915, describing gravity as the curvature of spacetime caused by mass and energy. This revolutionary theory replaced Newton's gravitational theory and predicted phenomena like gravitational lensing and black holes.