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What is the longitudinal extent of mainland India?

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Important Questions on Trigonometric Functions

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Mathematics>Trigonometry>Trigonometric Functions>Angles
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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Mathematics>Trigonometry>Trigonometric Functions>Angles
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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Mathematics>Trigonometry>Trigonometric Functions>Angles
A copper rod of 88 cm and an aluminum rod of unknown length have their increase in length independent of increase in temperature. The length of aluminum rod is αCu=1.7×10-5 K-1 and αAl=2.2×10-5 K-1 
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Mathematics>Trigonometry>Trigonometric Functions>Angles
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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Mathematics>Trigonometry>Trigonometric Functions>Angles
A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion α /°C It is observed that an external compressive force F is applied on each of its ends, prevents any change in the length of the rod when its temperature rises by ∆T K Young's modulus, Y for this metal is:
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Mathematics>Trigonometry>Trigonometric Functions>Angles
An ideal gas is expanding such that PT= constant. The coefficient of volume expansion of the gas is
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Mathematics>Trigonometry>Trigonometric Functions>Angles
Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:
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Mathematics>Trigonometry>Trigonometric Functions>Angles
Which of the following pairs does not have similar dimensions?
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The dimensional formula of 1μ0ε0 is .............
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The dimensions of Planck's constant are
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Mathematics>Trigonometry>Trigonometric Functions>Angles
If the velocity vis cms-1 of a particle is given in terms of t (in second) by the relation                             v=at+bt+c

then, the dimensions of a, b and c are

a b⁡ c⁡ a) L LT T 2 b) L 2 T LT - 2 c) LT 2 LT L d) LT - 1 L T
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The dimension of 1 μ 0 ε 0 are same as
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The dimensions of universal gravitational constant are
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The dimensions of potential are the same as that of
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The power of lens is P=1f, where f is focal length of the lens . The dimensions of power of lens are
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Mathematics>Trigonometry>Trigonometric Functions>Angles
Match the following.
 
A. Angular momentum 1. M-1L2T-2
B.  Torque 2. M1T-2
C. Gravitational constant 3. M1L2T-2
D. Tension 4. M1L2T-1
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Mathematics>Trigonometry>Trigonometric Functions>Angles
Select the dimensional formula of B22μ0. Here B is the magnetic field and μ0 is the permeability of the free space.
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The unit of electric permittivity is C2/Nm2 . Find the dimensions of electric permittivity
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Mathematics>Trigonometry>Trigonometric Functions>Angles
The dimensional formula of action =(energy×time) is
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Mathematics>Trigonometry>Trigonometric Functions>Angles
Check that the ratio ke2/Gmemp is dimensionless. Look up a table of physical constants and determine the value of this ratio. What does the ratio signify?