Class 11th

Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M, radius of its top, R and height, H, then its moment of inertia about its axis is:

There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be selected from them so as to include at least 2 students from each class and at most 5 students from the total 11 students of class 10 and 11 is 100k, then k is equal to…….

Why are alkanes comparatively less reactive as compared to alkenes or alkynes?

If the potential energy between two molecules in given by U = A/r¹² - B/r? then at equilibrium, separation between molecules, and the potential energy are:

Let L₁ be a tangent to the parabola y²=4(x+1) and L₂ be a tangent to the parabola y²=8(x+2) such that L₁ and L₂ intersect at right angles. Then L₁ and L₂ meet on the straight line:

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5 mm is noticed on the pitch scale. The nature of zero error involved, and the least count of the screw gauge, are respectively:

If b is very small as compared to the value of a, so that the cube and other higher powers of b/a can be neglected in the identity 1/(a-b) + 1/(a-2b) + 1/(a-3b) + . + 1/(a-nb) = αn + βn² + γn³,

The sum of all values of x in [0, 2π], for which sinx + sin2x + sin3x + sin4x = 0, is equal to:

Let g: N → N be defined as g(3n+1)=3n+2, g(3n+2)=3n+3, g(3n+3)=3n+1, for all n ≥ 0. Then which of the following statements is true?

Let S? be the sum of the first n terms of an arithmetic progression. If S? = 3S?, then the value of S?/S? is: