Maths-

General

Easy

Question

# Find the sum of the infinite series

## The correct answer is:

### Related Questions to study

physics-

### In the figure is shown Young’s double slit experiment. *Q* is the position of the first bright fringe on the right side of *O*. *P* is the 11^{th} fringe on the other side, as measured from *Q.* If the wavelength of the light used is , then will be equal to

### In the figure is shown Young’s double slit experiment. *Q* is the position of the first bright fringe on the right side of *O*. *P* is the 11^{th} fringe on the other side, as measured from *Q.* If the wavelength of the light used is , then will be equal to

physics-General

physics-

### Figure here shows *P* and *Q* as two equally intense coherent sources emitting radiations of wavelength 20 *m*. The separation *PQ* is 5.0 *m* and phase of *P* is ahead of the phase of *Q* by . *A*, *B* and *C* are three distant points of observation equidistant from the mid-point of *P**Q.* The intensity of radiations at *A*, *B*, *C* will bear the ratio

### Figure here shows *P* and *Q* as two equally intense coherent sources emitting radiations of wavelength 20 *m*. The separation *PQ* is 5.0 *m* and phase of *P* is ahead of the phase of *Q* by . *A*, *B* and *C* are three distant points of observation equidistant from the mid-point of *P**Q.* The intensity of radiations at *A*, *B*, *C* will bear the ratio

physics-General

physics-

### In an interference arrangement similar to Young's double slit experiment, the slits are illuminated with coherent microwave sources each of frequency . The sources are synchronized to have zero phase difference. The slits are separated by distance *d *= 150 *m*. The intensity *I* is measured as a function of , where is defined as shown. If *I*_{0} is maximum intensity, then for is given by

### In an interference arrangement similar to Young's double slit experiment, the slits are illuminated with coherent microwave sources each of frequency . The sources are synchronized to have zero phase difference. The slits are separated by distance *d *= 150 *m*. The intensity *I* is measured as a function of , where is defined as shown. If *I*_{0} is maximum intensity, then for is given by

physics-General

physics-

### In the adjacent diagram, CP represents a wavefront and *AO* & *BP*, the corresponding two rays. Find the condition on for constructive interference at *P* between the ray *BP* and reflected ray *OP*

### In the adjacent diagram, CP represents a wavefront and *AO* & *BP*, the corresponding two rays. Find the condition on for constructive interference at *P* between the ray *BP* and reflected ray *OP*

physics-General

physics-

### A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown. The observed interference fringes from this combination shall be

### A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown. The observed interference fringes from this combination shall be

physics-General

physics-

### A ray of light of intensity *I* is incident on a parallel glass-slab at a point *A* as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays *AB* and *AB* undergo interference. The ratio is

### A ray of light of intensity *I* is incident on a parallel glass-slab at a point *A* as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays *AB* and *AB* undergo interference. The ratio is

physics-General

maths-

### If X and Y are two independent variables with means 5 and 10 and variances 4 and 9 respectively. If , then r (U, V) is equal to-

### If X and Y are two independent variables with means 5 and 10 and variances 4 and 9 respectively. If , then r (U, V) is equal to-

maths-General

chemistry-

For the reaction If 1 mol of ,then the value of in the reaction is

For the reaction If 1 mol of ,then the value of in the reaction is

chemistry-General

physics-

### Light wave is travelling along y-direction. If the corresponding vector at any time is along the x-axis, the direction of vector at that time is along

### Light wave is travelling along y-direction. If the corresponding vector at any time is along the x-axis, the direction of vector at that time is along

physics-General

physics-

### The intensity of gamma radiation from a given source is *I*. On passing through 36 *mm* of lead, it is reduced to . The thickness of lead which will reduce the intensity to will be

### The intensity of gamma radiation from a given source is *I*. On passing through 36 *mm* of lead, it is reduced to . The thickness of lead which will reduce the intensity to will be

physics-General

Maths-

### If , then the value of is-

### If , then the value of is-

Maths-General

chemistry-

### An organic Compound forms a precipitate with Tollens and Fehling’s regents. (A) has an isomer (B) . (B) reacts with 1 mol of to form 1, 4 dibromo-2-butene. (A) and (B) are:

### An organic Compound forms a precipitate with Tollens and Fehling’s regents. (A) has an isomer (B) . (B) reacts with 1 mol of to form 1, 4 dibromo-2-butene. (A) and (B) are:

chemistry-General

chemistry-

### In alkaline medium, and is itself reduced to How many moles of are oxidized by 1 mol of

### In alkaline medium, and is itself reduced to How many moles of are oxidized by 1 mol of

chemistry-General

physics-

### Figure represents a glass plate placed vertically on a horizontal table with a beam of Unpolarised light falling on its surface at the Polarising angle of with the normal. The electric vector in the reflected light on screen *S* will vibrate with respect to the plane of incidence in a

### Figure represents a glass plate placed vertically on a horizontal table with a beam of Unpolarised light falling on its surface at the Polarising angle of with the normal. The electric vector in the reflected light on screen *S* will vibrate with respect to the plane of incidence in a

physics-General

chemistry-

### An aromatic compound on oxidation with acidic gives dibasic acid.The compound (A) on nitration gives three isomeric nitro derivatives.The compound (A) is:

### An aromatic compound on oxidation with acidic gives dibasic acid.The compound (A) on nitration gives three isomeric nitro derivatives.The compound (A) is:

chemistry-General