In a sphere of mass M and radius R, a part of radius R/2 is removed from it according to fig. Centre of mass shifts (x) towards negative x direction, then the value of x in terms of R is :

A wire of uniform cross-section is bent in the shape shown in fig. The co-ordinates of the centre of mass of each side are shown in fig. The co-ordinates of the centre of mass of the system are

The figure shows a metallic plate of uniform thickness and density. The value of l in terms of L so that the centre of mass of the system lies at the interface of the triangular and rectangular portion is:

Four particles, each of mass m, are placed at the corners of a square of side a shown in Fig. The position vector of the centre of mass is

Three masses 2 kg,3 kg and 4 kg are lying at the corners of an equilateral triangle of side l. The (X) coordinates of centre of mass is :

Four cubes of side a each of mass 40 g,20 g,10 g and 20 g are arranged in XY plane as shown in the figure. The coordinates of centre of mass of the combination with respect to point O is

When zeolite is treated with hard water the sodium ions are exchanged with:

Sodium zeolite is ........................

Which type of salt is mainly present in sea water?

For the given aqueous reaction which of the statement(s) is (are) true ?

Consider the following diagram The incident ray parallel to the optical axis passing through

A prism of refractive index is immersed in water of refractive index . For the total internal reflection the correct choice is

For a prism PQR the incident and emergent rays are parallel. The minimum value of refractive index of the prism material is

Figure shows a cross - section of light pipe made of glass fibre of refractive index 1.68. The outer coatingof the pipe is made of a material of refractive index 1.44. What is the range of angles of the incident rays with the axis of the pipe for which total internal reflection inside the pipe takes place?

Given a square with side length of 12√2 cm, find the diagonal.

For such questions, we should know the properties of different triangles.

If the chromosome number of cells of nucellus of megasporangium of Pinus 16 (sixteen) what would be the chromosome number of endosperm cells: