Question
The perimeter of a rectangular field is 44 metres and
its area is 114 m2 . What is the length of the diagonal of this field?Solution
Let the length and breadth of the rectangular field be ‘p’ metres and ‘q’ metres respectively Then, according to the question, 2 × (p + q) = 44 Or, (p + q) = 44/2 = 22…… (1) Also p × q = 114 We know, (p + q)2 = p2 + q2 + 2pq Or, p2 + q2 = 222 – 2 × 114 Or, p2 + q2 = 256 So, length of the diagonal of the rectangular field = √(length2 + breadth2) = √(p2 + q2) = √256 = 16 metres
In which type of wave do the particles of the medium vibrate perpendicular to the direction of wave propagation?
A particle is fired with initial speed 30 m/s and lands back at same horizontal level. If its horizontal range is equal to 4.5 times the vertical height...
If a force is applied to two stationary objects with different masses for the same duration, what will be the same for both objects?
Let the electric field part of an electromagnetic wave is E = {(2.3 N/C) cos [(1.2 rad/m) y + (2.4 × 108 rad/s)t]} î.
Compute the...
What does Ohm's Law state?
An object is projected vertically upward from Earth's surface with speed
v 0 = √(GM/1.5R). The maximum height reached from the center of E...
If resistances R,2R,4R,8R… are connected in parallel, the equivalent resistance is:
Two sound waves have frequencies 256 Hz and 260 Hz. The beat frequency is:
Ultra violet radiations of the Sun do not reach the earth because, earth's atmosphere is surrounded by –
Which physical quantity has unit “Joule/second”?
Relevant for Exams:
