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What is the moment of inertia of a solid sphere of density ρ and radius R about its diameter? (A) (105 / 176) R^5ρ (B) (176 / 105) R^5ρ (C) (105 / 176) R^2ρ (D) (176 / 105) R^2ρ

Answer: (B) (176/105) R5ρ Solution: For sphere MI = (2/5)MR2 Density = [(mass) / (volume)] hence ρ = (M / ѵ) M = ρѵ =... View Article

The height y nad the distance x along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by y = (8t – 5t^2) m and x = 6t m, where t is in seconds. The velocity with which the projectile is projected at t = 0 is.

y = 8t - 5t2 Differentiating both the sides w.r.t. t dy/dt = 8 - 10t Vy = 8 - 10t (Change in velocity) Initial velocity, t = 0 Vy = 8... View Article

Two particles X and Y having equal charges after being accelerated through same potential difference enter a region of uniform magnetic field and describe a circular paths of radii ‘r1’ and ‘r2’ respectively. The ratio of the mass of X to that of Y is:

Since, Magnetic Force = qVB and Centripetal force = (mV2/r) Hence, [(mV2)/r] = qVB So, r = (mV/qB) Thus, mV... View Article

Simplify: 1/8-(1/6-1/4)

(1/8)-[(1/6-1/4)] = 1/8 - (4-6)/24 = 1/8 + 2/24 = (3+2)/24 = 5/24... View Article

Observe the pattern and fill in the blanks: (i) 2,4,6,8,…. (ii) 1,3,6, 10,…. (iii) 9, 109, 209,_,_,___

(i) 2,4,6,8,10,12,14. (ii) 1, 3, 6, 10, 15, 21, 28, 36, 45. (iii) 9, 109, 209,309,409,509... View Article

Solve the equation and check your results: (2x/3)+1=(7x/15)+3

Given, (2x/3)+1=(7x/15)+3 Therefore, x = 10 Verification: Putting x = 10 in L.H.S. (2x/3) + 1 = (2.10)/3 + 1 = 20/3 + 1 = 23/3 Putting x = 10... View Article

Find the mean of first five composite number

The first five composite numbers are: 4, 6, 8, 9, 10 As we know, Mean = (Sum of values)/(Total number of values) Sum of values... View Article

In simple Regression equation the number of variables involved are: (a)2 (b)1 (c) 0 (d) 3

Answer: (a) 2 A linear regression is represented as: y = a + bx, where x and y are variables.... View Article

Solve the following equation: 3(t – 3) = 5 (2t + 1).

3(t−3) = 5(2t+1) 3t − 9 = 10t + 5 3t - 10t = 5 + 9 -7t = 14 t = -14/7 t = -2... View Article

In euclids division lemma when a=bq+r where a,b are positive integers then what values r can take?

Answer: 0 ≤ r < b According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist unique... View Article

Find the ratio of 5m to 10km

Given, 5m to 10km 10 km = 10 x 1000 = 10000 m 5m/10km = 5m/10000m = 1/2000 = 1:2000... View Article

List the alphabets having rotational symmetry and reflection symmetry, also list the orders in rotational symmetry as well as reflections symmetry.

Alphabets having a reflection symmetry about a vertical mirror are A, H,I, M, O, T, U, V, W, X, Y Alphabets having a reflection symmetry about a... View Article

A fruit-seller had some apples. He sells 40% of them and still has 420 apples. Find the number of apples he had originally.

Assume that the fruit seller initially had 100 apples He sell 40% of them = 40 apples Left out apples = (100 - 40) = 60 In initial amount of... View Article

Archives

What is the moment of inertia of a solid sphere of density ρ and radius R about its diameter? (A) (105 / 176) R^5ρ (B) (176 / 105) R^5ρ (C) (105 / 176) R^2ρ (D) (176 / 105) R^2ρ

The height y nad the distance x along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by y = (8t – 5t^2) m and x = 6t m, where t is in seconds. The velocity with which the projectile is projected at t = 0 is.

Two particles X and Y having equal charges after being accelerated through same potential difference enter a region of uniform magnetic field and describe a circular paths of radii ‘r1’ and ‘r2’ respectively. The ratio of the mass of X to that of Y is:

Simplify: 1/8-(1/6-1/4)

Observe the pattern and fill in the blanks: (i) 2,4,6,8,…. (ii) 1,3,6, 10,…. (iii) 9, 109, 209,_,_,___

Solve the equation and check your results: (2x/3)+1=(7x/15)+3

Find the mean of first five composite number

In simple Regression equation the number of variables involved are: (a)2 (b)1 (c) 0 (d) 3

Solve the following equation: 3(t – 3) = 5 (2t + 1).

In euclids division lemma when a=bq+r where a,b are positive integers then what values r can take?

Find the ratio of 5m to 10km

List the alphabets having rotational symmetry and reflection symmetry, also list the orders in rotational symmetry as well as reflections symmetry.

A fruit-seller had some apples. He sells 40% of them and still has 420 apples. Find the number of apples he had originally.

What is symbol of perperdicular bisect?

Find the ratio of- Rs 5 to 50 paise.

What is the meaning of co interior angles?

Factorise: x^3-3x^2+3x+7

Which of the following is the 1’s complement of 10? (A) 10 (B) 01 (C) 11 (D) 00

What is the difference between a theorem and an axiom?

If integration of (a)^(b)(f(x))/(f(x)+f(a+b-x))dx=10, then b – a = ?

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