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There are 70 patients in a naturopathy hospital. It has three facilities (clay/steam/oil bath). 15 chose a clay and oil bath. 8 chose clay and steam bath. 9 chose oil and steam bath. 35 chose only 1 type of bath. How many chosen all three types of the bath?
Consider the following statements related to oscillator circuits : 1. The tank circuit of a Hartley oscillator is made up of a tapped capacitor and a common inductor. 2. The tank circuit of a Colpitts oscillator is made up of a tapped capacitor and a common oscillator. 3. The Wien Bridge oscillator is essentially a two-stage amplifier with an RC bridge in the first stage, and, the second stage serving as an inverter. 4. Crystal oscillators are fixed frequency oscillators with a high Q-factor.  Which of the following are true?
A swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average amount of water displaced by one of the men be 0.1 cu.m, how many men are there in the bath ?
A mass m is connected on either side with a spring each of spring constants k1 and k2. The free ends of springs are tied to rigid supports. The displacement of the mass is x from equilibrium position.
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Which one of the following is true?
A cube at high temperature is immersed in a constant temperature bath. It loses heat from its top, bottom and side surfaces with heat transfer coefficients of h₁, h₂ and h₃ respectively. The average heat transfer coefficient for the cube is
A cube at high temperature is immersed in a constant temperature bath. It loses heat from its top, bottom and side surfaces with heat transfer coefficients of h1, h2 and h3 respectively. The average heat transfer coefficient for the cube is
Three solid objects of the same material and of equal mass-a sphere, a cylinder (length = diameter) and a cube are at 500°C initially. These are dropped in a quenching bath containing a large volume of cooling oil each attaining the bath temperature eventually. The time required for 90% change in temperature is the smallest for
Which of the following is/are the characteristics of simple harmonic motion (i) The total energy is conserved (ii) The acceleration is directly proportional to the displacement and is directed towards its mean position (iii) The simple harmonic motion cannot be represented using sinusoidal functions (iv) There are a maximum and minimum displacement about the equilibrium point
Match List-I with List-II and select the correct answer using the code given below the Lists: List I (Low-Latitude Climate) List I (Characteristic) A. Wet Equatorial 1. Uniform temperatures, mean near 27°C  B. Monsoon and trade wind coastal 2. Marked temperature cycle with very high temperature before the rainy season C. Wet-dry tropical  3. Temperatures show an annual cycle with a high temperature in the high-Sun season Strong temperature cycle. with intense temperature during the high-Sun season  D. Dry tropical 4. Strong temperature cycle, with intense temperature during the high-Sun season
A Carnot heat engine receives heat at 750 K and rejects the waste heat to the environment at 300 K. The net work output of the heat engine is used to drive a Carnot refrigerator, whose COP is 6.14. If the heat removal rate from the refrigerated space is 6.6 kW, determine the rate of heat supply to the heat engine?