If , then  by trapezoidal rule is

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 

A wire of length L  and radius r is rigidly fixed at one end on stretching the other end of the wire a force F the increase in its lengths is L. If another wire of same material but of length 2 L and radius 2r, is stretched with a force of 2F, the increase in its length will he

Consider the situation shown in figure. Water is filled in a breaker upto a height of 10 cm. A plane mirror fixed at a height of 5 cm from the surface of water. Distance of image from the mirror after reflection from it of an object O at the bottom of the beaker is

One side of a glass slab is silvered as shown. A ray of light is incident on the other side at angle of incidence . Refractive index of glass is given as 1.5. The deviation of the ray of light from its initial path when it comes out of the slab is

A plane mirror is placed at the bottom of the tank containing a liquid of refractive index . P is a small object at a height h above the mirror. An observer O-vertically above P outside the liquid see P and its image in the mirror. The apparent distance between these two will be

If an object moves towards a plane mirror with a speed v at an angle to the perpendicular to the plane of the mirror, find the relative velocity between the object and the image

Figure shows a cubical room ABCD with the wall CD as a plane mirror. Each side of the room is 3m. We place a camera at the midpoint of the wall AB. At what distance should the camera be focussed to photograph an object placed at A

Two point white dots are 1mm apart on a black paper. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which dots can be resolved by the eye ? [Take wavelength of light = 500 nm]

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 

A container is filled with water ( = 1.33) upto a height of 33.25 cm. A concave mirror is placed 15 cm above the water level and the image of an object placed at the bottom is formed 25 cm below the water level. The focal length of the mirror is

light source is located at as shown in the figure. All sides of the polygon are equal. The intensity of illumination at is . What will be the intensity of illumination at

A container of volume 1m³ is divided into two equal compartments, one of which contains an ideal gas at 300 K The other compartment is vacuum The whole system is thermally isolated from its surroundings The partition is removed and the gas expands to occupy the whole volume of the container Its temperature now would be

Two moles of an ideal monoatomic gas at occupies a volume of V If the gas is expanded adiabatically to the volume 2V, then the work done by the gas will be