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The magnetic dipole moment of the current loop is independent of

a) number of turns b) area of the loop c) current in the loop d) magnetic field in which it is lying Answer: d) magnetic field in... View Article

In the adjoining figure, AE = DC = 13 cm BE = 5 cm, ∠ABC=90°& AD = EC = x cm. Calculate the length of AB & the value of x

Now, consider a triangle ABE, By using Pythagoras theorem, AE2 = AB2 + BE2 169 = AB2 + 25 AB2 = 169 - 25 = 144. Hence, AB = 12. Now,... View Article

A card is drawn from a well shuffled deck of 52cards. Find the probability of getting a king of red suit.

The total number of cards in a deck, n(S) = 52 cards. Let A be the event of getting a king of red suit No. of kings in red suit, n(A) = 2,... View Article

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number 1,2,3……12,then the probability that it will point to an odd number is

The total number of possible outcomes here is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. So, n(S) = 12 Let A be the event that the arrow will... View Article

For what value of k, the equation x^2 + 2(k – 4) x + 2k = 0 has equal roots ?

We know that the quadratic equation has equal roots, when the discriminant, D = 0. Given quadratic equation is x2 + 2(k - 4) x + 2k = 0 Here,... View Article

If the zeros of the quadratic polynomial ax^2+bx+c,c≠0 are equal, then

The zeroes of the quadratic polynomial are equal when the discriminant is equal to 0. ⇒ D = 0 ⇒ b2 - 4ac = 0 ⇒ b2 = 4ac... View Article

There are 30 boys and 25 girls in a class. A student is chosen at random. Find the probability that the chosen student is a boy

Given that, Number of boys = 30 Number of girls = 25 Therefore, the total number of students 30 + 25 = 55 = n(S) Let X be the event of... View Article

If a + b + c = 3, then find the value of 1/(1 – a)(1 – b) + 1/(1 – b)(1 – c) + 1/(1 – c)(1 – a).

Given, a + b + c = 3 Now, [1/(1 - a)(1 - b)] + [1/(1 - b)(1 - c)] + [1/(1 - c)(1 - a)] By taking the LCM of denominators, we get; = [(1 - c)... View Article

Varun has 10 cards with numbers 1 to 10. In how many ways can a total of 15 be made using only three cards at a time?

A total of 15 should be made using only three cards at a time, which means no repetition is allowed.(1, 4, 10) = 3!(2, 4, 9) = 3!(2, 5, 8) =... View Article

Write any 2 similarities and 2 differences of a right-angled isosceles triangle and obtuse-angled scalene triangle.

Two similarities between a right-angled triangle and an obtuse angled scalene triangle are:1. Both triangles contain two acute angles.2 The side... View Article

How to find the HCF of 24 and 36?

Given numbers: 24, 36Prime factorization of 24 = 2 × 2 × 2 × 3 = 23 × 3Prime factorization of 36 = 2 × 2 × 3... View Article

How do you find the GCD of two numbers?

GCD (Greatest Common Factor) of two or more numbers is the largest number that divides the given numbers. Suppose a and b are two numbers that... View Article

Write the formula for the perpendicular distance of a point from a line.

Consider a line L: Ax + By + C = 0 whose distance from the point P(x1, y1) is d.Thus, the formula for finding the perpendicular distance of a... View Article

The reduction of nitrobenzene in the presence of Zn/Ammonium chloride gives:

(A) Aniline (B) Azobenzene (C) Hydrazobenzene (D) N-phenyl hydroxylamine The Correct Answer is (D) N-phenyl hydroxylamine Solution:... View Article

Which of the following statement is true about real gases?

(A) They show deviation from ideal behaviour (B) The molecules causes attractive forces on each other (C) They obey gas laws at lower... View Article

Which of the following reagents can be used to distinguish between phenol and benzyl alcohol ?

(A) Bromine in CCl4 (B) Ferric chloride (C) Sodium hydroxide (D) Sodium bicarbonate The Correct Answer is (B) Ferric chloride.... View Article

Nitric acid does not react with:

(A) Zinc (B) Iron (C) Copper (D) Magnesium The Correct Answer is (D) Magnesium Solution: Nitric acid (HNO3) does not react with... View Article

Assertion: when a piece of copper metal is added to dilute sulphuric acid, the solution turns blue. Reason: Copper reacts with dilute sulphuric acid to form blue copper(II)sulphate solution.

(A) Both Assertion and Reason are false. (B) Assertion is true, but Reason is false. (C) Both Assertion and Reason are true. The reason is the... View Article

Make a classification key for the following groups of substances. a. rubber, paper, steel plate, glass.

Given groups of substances are: Glass Paper Rubber Seel plate Solution: Explore more such questions and answers at BYJU'S.... View Article

KMnO4 acts as an oxidising agent in an alkaline medium. When alkaline KMnO4 is treated with KI, iodide ion is oxidised to :

(A) I2 (B) IO (C) IO- (D) IO-3 The Correct Answer is (D) IO-3 Solution: When alkaline KMnO4 is treated with KI, the Iodide ion(I-) is... View Article