Physics-
General
Easy
Question
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
![](data:image/png;base64,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)
- 10
- 15
- 20
- 25
The correct answer is: 20
Distance of object from mirror
= 15+
= 39.93 cm
Distance of image from mirror =15 +
=33.75
For mirror, ![fraction numerator 1 over denominator v end fraction plus fraction numerator 1 over denominator u end fraction equals fraction numerator 1 over denominator f end fraction](data:image/png;base64,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)
Þ
Þ ![f almost equal to negative 18.3 c m](data:image/png;base64,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)
Related Questions to study
physics-
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 ![P subscript 3 end subscript](data:image/png;base64,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)
![](data:image/png;base64,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)
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 ![P subscript 3 end subscript](data:image/png;base64,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)
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)
physics-General
physics-
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
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
physics-General
physics-
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![left parenthesis gamma equals 5 divided by 3 right parenthesis](data:image/png;base64,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)
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![left parenthesis gamma equals 5 divided by 3 right parenthesis](data:image/png;base64,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)
physics-General
physics-
One mole of an ideal gas undergoes an isothermal change at temperature 'T' so that its volume V is doubled R is the molar gas constant Work done by the gas during this change is
One mole of an ideal gas undergoes an isothermal change at temperature 'T' so that its volume V is doubled R is the molar gas constant Work done by the gas during this change is
physics-General
Maths-
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
Maths-General
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
maths-
maths-General
Maths-
Maths-General
maths-
maths-General
maths-
If
then xy+1=
If
then xy+1=
maths-General
physics-
A wire of length 2 m is made from 10 cm3 of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by….
A wire of length 2 m is made from 10 cm3 of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by….
physics-General
Maths-
The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.
Maths-General
The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.
maths-
The velocity of a train which starts from rest is given by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/489656/1/957600/Picture4.png)
The time being recorded in minutes from the start and the speed in kmph. Find approximately the total distance run in 20 minutes by simpson’s rule is
The velocity of a train which starts from rest is given by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/489656/1/957600/Picture4.png)
The time being recorded in minutes from the start and the speed in kmph. Find approximately the total distance run in 20 minutes by simpson’s rule is
maths-General
maths-
A river is 40 metre wide. The depth d in metres at a distance x metres from a bank is given in the following table. Using simpson's rule, estimate the area of cross section of the river in square metres is
![](data:image/png;base64,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)
A river is 40 metre wide. The depth d in metres at a distance x metres from a bank is given in the following table. Using simpson's rule, estimate the area of cross section of the river in square metres is
![](data:image/png;base64,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)
maths-General
physics-
The refractive index of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of
for the following refraction
![](data:image/png;base64,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)
The refractive index of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of
for the following refraction
![](data:image/png;base64,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)
physics-General
physics-
An isosceles prism of angle 120° has a refractive index of 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerging from the opposite faces
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)
An isosceles prism of angle 120° has a refractive index of 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerging from the opposite faces
![](data:image/png;base64,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)
physics-General