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What is the latitudinal extent of mainland India?

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Important Questions on Trigonometric Functions

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Consider a triangular plot ABC with sides AB=7 m, BC=5 m and CA=6 m. A vertical lamp-post at the mid-point D of AC subtends an angle 30° at B. The height (in m) of the lamp-post is:
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A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45°. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30°. Then the speed (in m/s) of the bird is 
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If · denote the greatest integer function then limnx+2x+.+nxn2 is -
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If the angle of elevation of a cloud from a point P which is 25m above a lake be 30° and the angle of depression of reflection of the could in the lake from P be 60°, then the height of the cloud (in meters) from the surface of the lake is :
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limx0sinπcos2xx2 is equal to 
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Let f:RR be a positive increasing function with limxf(3x)fx=1. Then, limxf(2x)f(x) is equal to
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n moles of an ideal gas undergoes a process AB as shown in the figure. The maximum temperature of the gas during the process will be:
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What do you mean by 'upper fixed point'?

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Convert 77° F into degree Celsius.
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Which of the following is not matched correctly?
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If the cold junction of a thermo-couple is kept at 0oC and the hot junction is kept at ToC then the relation between neutral temperature (Tn) and  temperature of inversion (Ti) is
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Convert the following as directed. 50°C into °F.

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What are the upper fixed points of the Celsius and the Fahrenheit scales?

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Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between TA and TB?

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The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law:

R=Ro1+αT-To
The resistance is 101.6 Ω at the triple-point of water 273.16 K, and 165.5 Ω at the normal melting point of lead 600.5 K. What is the temperature when the resistance is 123.4 Ω?

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The triple points of neon and carbon dioxide are 24.57 K and 216.55 K respectively. Express these temperatures on the Celsius and Fahrenheit scales.
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What is the change in the temperature on Fahrenheit scale and on Kelvin scale, if an iron piece is heated from 30°C to 90°C?
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On a hilly region, water boils at 95 °C.The temperature expressed in Fahrenheit is
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The temperature of the cold junction of thermocouple is 0 °C and the temperature of hot junction is T °C. The emf is E=16T-0.04T2 μV. The inversion temperature Ti is