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All the forms of matter except gases emit electromagnetic radiation continuously. The gases which electrically or thermally excited emit a certain wavelength only, then which of the following is/are true about the process (i) The spacing between the atoms in the other forms of matter is high than in gas (ii) The spacing between the atoms in gases is high than the other forms of matter (iii) The energy of the emitted radiation depends on the spacing between the atoms (iv) The wavelength of the emitted radiation depends on the spacing between the atoms 
The growth rate of pearlite, v, and the interlamellar spacing S are given by the following relation, $$v = k.\frac{1}{S}\left( {\frac{{1 - {S_c}}}{S}} \right)$$    where Sc is the critical spacing at which the growth rate is zero and k is a materials constant. The actual interlamellar spacing observed will correspond to
A cc slab of thickness 20 cm is constructed over a base of granular material with a modulus of reaction 10 kg/cm3. The maximum temperature differential between the top and bottom of the slab is found to be 19°C during summer day and night. The spacing between transverse joints is 8 m and the spacing between longitudinal joints is 4 m. The design wheel load is 5100 kg, radius of contact area is 15 cm, Poisson’s ratio is 0.15, modulus of elasticity is 3×105 kg/cm2, the thermal coefficient is 10 ×10-6 /°C and the coefficient of friction is 1.5. Using the above information, find the worst combination of stresses at the edge of the pavement.
In an imaginary mathematical system, symbol '–' stands for addition, symbol '+' stands for division, symbol '×' stands for subtraction, and symbol '÷' stands for multiplication. All other rules of mathematics are the same as in the existing system. What is the value of the following expression? 240 × 72 + 8 ÷ 24 – 6
Which of the following statements is/are TRUE? (a) The grammar S → SS | a is ambiguous. (Where S is the start symbol) (b) The grammar S → 0S1 | 01S |e is ambiguous. (The special symbol e represents the empty string) (Where S is the start symbol) (c) The grammar (Where S is the start symbol) S → T / U T → x S y | xy | ϵ U → yT generates a language consisting of the string yxxyy.
Availability of drinking water is continuously decreasing. The government decided to identify those sources of drinking water which getting polluted. The following table depicts the number of polluted sources in a district. Source of drinking water getting polluted Number Wells 24 Handpump 12 Dam 12 Borewell 6 Ponds 18 The pictograph table for the above table will be (A) Source of drinking water getting polluted Number symbol = 6 source Wells Handpump Dam Borewell Ponds (B) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds (C) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds (D) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds
Assertion (A): When there is an evidence of a linear relationship between two variables, it may not always mean an independent-dependent relationship between the two variables.
Reason (R): The casual relationship between the two variables may not imply a reasonable theoretical relationship between the two.
Given below are three quantities named A, B and C. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. The options represent the relations between these three quantities A) > B) < C) = D) ≤ E) ≥ Two pipes P and Q can fill an empty tank in 20 minutes and 30 minutes respectively. Quantity A: If both pipes are opened simultaneously, then after what certain time P should be closed so that further time after which the tank is filled in 15 minutes? Quantity B: If both are opened and P is closed after 8 minutes, how much further time would it take for Q to fill the bucket? Quantity C: Pipe A and B can fill a tank in 15 minutes and 10 minutes respectively. Pipe C can empty the tank in 5 minutes. Pipe A and B are opened simultaneously and after the 4-minute pipe, C is also opened. In what time the tank will be emptied?
Which of the following receives the standard TV signal and synchronizes the vertical and horizontal sweep generators using the color subcarrier in digital TV receiver?
In India, the subcarrier frequency for transmission of color difference signals in television is approximately ________