The difference between Planets and Star are:  PLANETS STARS 1. Planets are celestial bodies, usually smaller than stars. 1. Stars are very big and hot celestial bodies made up of gases. 2. Planets do not have their own heat and light. 2. Stars have their own heat and light, ... Read More

Given :The given fraction is $\frac{51}{-68}$.To do :We have to express the given fraction in standard form.Solution : Standard Fraction:The standard form of Fraction: When numerator and denominator are co-prime, then the fraction is said to be in standard form. Two numbers are co-prime if they have no common factor ... Read More

When two or more substances are mixed together they form a mixture. Components of a mixture should be separated because some components may not be useful or may spoil the useful component of the mixture.

1.(a) Cutting banana into pieces is an Irreversible change. (b) Bud to flower is an Irreversible change. (c) Batter to dosa is an Irreversible change. (d) Washing of clothes is a Reversible change. (e) Stretching of the rubber band is a Reversible ... Read More

Given : The given expression is $\frac{1}{4 - \sqrt{15}}-\frac{1}{\sqrt{15}-\sqrt{14}}+\frac{1}{\sqrt{14}-\sqrt{13}}-\frac{1}{\sqrt{13}-\sqrt{12}}+  \frac{1}{\sqrt{12}-\sqrt{11}}-\frac{1}{\sqrt{11}-\sqrt{10}}+\frac{1}{\sqrt{10}-3}$ To do : We have to find the value of the given expression. Solution : $\frac{1}{4 - \sqrt{15}}-\frac{1}{\sqrt{15}-\sqrt{14}}+\frac{1}{\sqrt{14}-\sqrt{13}}-\frac{1}{\sqrt{13}-\sqrt{12}}+  \frac{1}{\sqrt{12}-\sqrt{11}}-\frac{1}{\sqrt{11}-\sqrt{10}}+\frac{1}{\sqrt{10}-3}$ Rationalising the denominator we get, $\frac{1}{4 - \sqrt{15}} = \frac{1}{\sqrt{16} - \sqrt{15}} = \frac{1}{\sqrt{16} - \sqrt{15}} ... Read More

Given: root 2.To find: We have to prove that √2 is irrational.Solution: To prove that first we need to understand Theorem 1.3 : Let 𝑝 be a prime number. If 𝑝 divides 𝑎2, then 𝑝 divides 𝑎, where 𝑎 is 𝑎 positive integer. Now, Let us assume, to the contrary, that ... Read More

In the context of Physics, Energy is the quantitative thing possessed by an object or transferred to an object to perform work, or to generate the heat in the object. Energy is commonly measured in calories. SI unit of energy is the joule. In the context of Biology, Living ... Read More

Given :The given terms are $a b, 10, -2 x, \frac{-1}{3}$ and $\frac{x z}{2}$.To do :We have to separate the constants and variables from the given terms.Solution :An Algebraic expression is one or a group of terms and may include variables, constants, operators and symbols.For example, $3x + 2$ is an expression. "x" ... Read More

Given:Sudhir lent Rs. 2, 000 at compound interest at 10% payable yearly.Prashant lent Rs. 2, 000 at compound interest at 10% payable half-yearly.To find: Here we have to find the difference in the interest received by Sudhir and Prashant at the end of one year.Solution:Sudhir lent Rs. 2000 at compound ... Read More

Thermal expansion is the tendency of matter to change in shape, volume, and area in response to a change in temperature.There are three ways in which we categorize thermal expansion – Linear Expansion, Superficial Expansion, and Cubical ExpansionThermal expansion is an important consideration for engineering because different materials exhibit changes ... Read More