Maths-

General

Easy

Question

# Number of solutions of the equation in the interval is

- 0
- 1
- 2
- 3

## The correct answer is: 2

### Related Questions to study

physics-

### Yellow light is used in single slit diffraction experiment with slit width 0.6 *mm*. If yellow light is replaced by *X*-rays then the pattern will reveal

Diffraction is obtained when the slit width is of the order of wavelength of EM waves (or light). Here wavelength of X-rays (1-100 Å) is very-very lesser than slit width (0.6

*mm*). Therefore no diffraction pattern will be observed.### Yellow light is used in single slit diffraction experiment with slit width 0.6 *mm*. If yellow light is replaced by *X*-rays then the pattern will reveal

physics-General

Diffraction is obtained when the slit width is of the order of wavelength of EM waves (or light). Here wavelength of X-rays (1-100 Å) is very-very lesser than slit width (0.6

*mm*). Therefore no diffraction pattern will be observed.maths-

In a right angled triangle, the hypotenuse is times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are

In a right angled triangle, the hypotenuse is times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are

maths-General

physics-

### If the figure below represents a parabola, identify the physical quantities representing for constant acceleration

Since, body has uniform acceleration. So, velocity of particle is increasing with time. Hence, this is displacement-time graph with as time axis and as displacement axis.

### If the figure below represents a parabola, identify the physical quantities representing for constant acceleration

physics-General

Since, body has uniform acceleration. So, velocity of particle is increasing with time. Hence, this is displacement-time graph with as time axis and as displacement axis.

physics-

### The graph of displacement-time for a body travelling in a straight line is given. We can conclude that

At the point , the tangent to the curve is parallel to time axis. So, velocity at is zero. But acceleration is not zero. Note that the displacement corresponding to the point is not zero.

### The graph of displacement-time for a body travelling in a straight line is given. We can conclude that

physics-General

At the point , the tangent to the curve is parallel to time axis. So, velocity at is zero. But acceleration is not zero. Note that the displacement corresponding to the point is not zero.

physics-

### A particle moves along -axis as Which of the following is true

At

At

But acceleration,

### A particle moves along -axis as Which of the following is true

physics-General

At

At

But acceleration,

physics-

### Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is

From acceleration time graph, acceleration is constant for first part of motion so, for this part velocity of body increases uniformly with time and as then the velocity becomes constant. Then again increased because of acceleration

### Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is

physics-General

From acceleration time graph, acceleration is constant for first part of motion so, for this part velocity of body increases uniformly with time and as then the velocity becomes constant. Then again increased because of acceleration

maths-

### The equation where χ is a variable with real roots, then the interval of p may be any one of the following

### The equation where χ is a variable with real roots, then the interval of p may be any one of the following

maths-General

physics-

### An engine is moving on a circular track with a constant speed. It is blowing a whistle of frequency The frequency received by an observer standing stationary at the centre of the track is

Since there is no relative motion between the source and listener, so apparent frequency equals original frequency

### An engine is moving on a circular track with a constant speed. It is blowing a whistle of frequency The frequency received by an observer standing stationary at the centre of the track is

physics-General

Since there is no relative motion between the source and listener, so apparent frequency equals original frequency

physics-

### In Young’s experiment, monochromatic light is used to illuminate the two slits *A* and *B*. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of the beam coming from the slit

In the presence of thin glass plate, the fringe pattern shifts, but no change in fringe width.

### In Young’s experiment, monochromatic light is used to illuminate the two slits *A* and *B*. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of the beam coming from the slit

physics-General

In the presence of thin glass plate, the fringe pattern shifts, but no change in fringe width.

physics-

### Figure shows the acceleration-time graphs of a particle. Which of the following represents the corresponding velocity-time graphs?

Since acceleration is constant, therefore there is uniform increase in velocity. So, the graph is a straight line slopping upward to the right. When acceleration becomes zero, velocity is constant. So graph is a straight line parallel to the time-axis.

### Figure shows the acceleration-time graphs of a particle. Which of the following represents the corresponding velocity-time graphs?

physics-General

Since acceleration is constant, therefore there is uniform increase in velocity. So, the graph is a straight line slopping upward to the right. When acceleration becomes zero, velocity is constant. So graph is a straight line parallel to the time-axis.

maths-

### If and , then the possible values of χ between and are

### If and , then the possible values of χ between and are

maths-General

maths-

### A) Area bounded by = 2 and coordinate axes

B) Area bounded by and

C) Area bounded by between x=0,x=1,x- axis

D) Area bounded by and y=2x Arrange the above statements in the ascending order of areas.

### A) Area bounded by = 2 and coordinate axes

B) Area bounded by and

C) Area bounded by between x=0,x=1,x- axis

D) Area bounded by and y=2x Arrange the above statements in the ascending order of areas.

maths-General

Physics-

### Velocity-time - graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is

Between time interval to , there is non-zero acceleration and retardation. Hence distance travelled during this interval

Area between time interval to

Area between time interval to

### Velocity-time - graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is

Physics-General

Between time interval to , there is non-zero acceleration and retardation. Hence distance travelled during this interval

Area between time interval to

Area between time interval to

physics-

### A particle moves along the sides of a square of side wuth a velocity of . Its average velocity is

Average velocity =

### A particle moves along the sides of a square of side wuth a velocity of . Its average velocity is

physics-General

Average velocity =

physics-

### The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in are respectively

Displacement = Summation of all the area with sign

Distance = Summation of all the areas without sign

Distance = Summation of all the areas without sign

### The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in are respectively

physics-General

Displacement = Summation of all the area with sign

Distance = Summation of all the areas without sign

Distance = Summation of all the areas without sign