Physics-
General
Easy
Question
The combination of a convex lens (
= 18 cm) and a thin concave lens (
= 9 cm) is
- A concave lens (
= 18 cm) - A convex lens (
= 18 cm) - A convex lens (
= 6 cm) - A concave lens (
= 6 cm)
The correct answer is: A concave lens (
= 18 cm)
Related Questions to study
physics-
A convex lens has a focal length f. It is cut into two parts along the dotted line as shown in the figure. The focal length of each part will be
![](data:image/png;base64,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)
A convex lens has a focal length f. It is cut into two parts along the dotted line as shown in the figure. The focal length of each part will be
![](data:image/png;base64,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)
physics-General
chemistry-
A compound MpXq has cubic close packing (ccp) arrangement of X, its unit cell structure is shown below. The empericial formula of the compound is
![](data:image/png;base64,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)
A compound MpXq has cubic close packing (ccp) arrangement of X, its unit cell structure is shown below. The empericial formula of the compound is
![](data:image/png;base64,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)
chemistry-General
chemistry-
If the average velocity of N2 molecules is 0.3 m./sec.at 27°C,then the velocity of 0.6m/sec will take place at-
If the average velocity of N2 molecules is 0.3 m./sec.at 27°C,then the velocity of 0.6m/sec will take place at-
chemistry-General
chemistry-
If the four tubes of a car are filled to the same pressure with N2,O2,H2 and we separately then which one will be filled first -
If the four tubes of a car are filled to the same pressure with N2,O2,H2 and we separately then which one will be filled first -
chemistry-General
chemistry-
The rms velocity of CO2 at a temperature T (in Kelvin) is xcm/sec. At what temperature (in kelvin) the rms velocity of nitrousoxide wouldbe4xcm/sec.
The rms velocity of CO2 at a temperature T (in Kelvin) is xcm/sec. At what temperature (in kelvin) the rms velocity of nitrousoxide wouldbe4xcm/sec.
chemistry-General
chemistry-
The following graph illustrates-
![](data:image/png;base64,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)
The following graph illustrates-
![](data:image/png;base64,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)
chemistry-General
chemistry-
The molecular velocities of two gases at same temperature are u1 and u2,their masses are m1 and m2 respectively, which of the following expression is correct?
The molecular velocities of two gases at same temperature are u1 and u2,their masses are m1 and m2 respectively, which of the following expression is correct?
chemistry-General
chemistry-
The values of vanderwaals' constant 'a' for the gasesO2,N2,NH3 and CH4 are 1.360,1.390,4.170 and 2.253Latmmol–2 respectively. The gas which can most easily be liquefied is–
The values of vanderwaals' constant 'a' for the gasesO2,N2,NH3 and CH4 are 1.360,1.390,4.170 and 2.253Latmmol–2 respectively. The gas which can most easily be liquefied is–
chemistry-General
biology
Which of the following character is not taken into consideration while preparing a karyotype-
Which of the following character is not taken into consideration while preparing a karyotype-
biologyGeneral
chemistry-
A gaseous mixture was prepared by taking equal mole of CO and N2.If the total pressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen (N2) in the mixture is:
A gaseous mixture was prepared by taking equal mole of CO and N2.If the total pressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen (N2) in the mixture is:
chemistry-General
chemistry-
Density ratio of O2 and H2 is16:1.The ratio of their rms velocities will be-
Density ratio of O2 and H2 is16:1.The ratio of their rms velocities will be-
chemistry-General
physics-
In the figure, an air lens of radii of curvature 10 cm (
=
= 10 cm) is cut in a cylinder of glass
. The focal length and the nature of the lens is
![](data:image/png;base64,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)
In the figure, an air lens of radii of curvature 10 cm (
=
= 10 cm) is cut in a cylinder of glass
. The focal length and the nature of the lens is
![](data:image/png;base64,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)
physics-General
physics-
If the central portion of a convex lens is wrapped in black paper as shown in the figure
![](data:image/png;base64,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)
If the central portion of a convex lens is wrapped in black paper as shown in the figure
![](data:image/png;base64,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)
physics-General
chemistry-
At a given temperature ρ(X) = 2ρ(Y) and M(X), where ρ and M stand M(Y) = 3 respectively for density and molar mass of the gases X and Y, then the ratio of their pressures will be -
At a given temperature ρ(X) = 2ρ(Y) and M(X), where ρ and M stand M(Y) = 3 respectively for density and molar mass of the gases X and Y, then the ratio of their pressures will be -
chemistry-General
chemistry-
The density of a gas at 27°Cand1atm pressure is ρ. Pressure remaining constant, the temperature at which its density is 0.5 ρis-
The density of a gas at 27°Cand1atm pressure is ρ. Pressure remaining constant, the temperature at which its density is 0.5 ρis-
chemistry-General