Question
The sides of a triangle are 13 cm, 14 cm, and 15 cm.
What is the radius of the circumcircle of this triangle?Solution
The area of the triangle can be calculated using Heron's formula. The semiperimeter s = (13 + 14 + 15) / 2 = 21 cm. The area A = √[21(21 - 13)(21 - 14)(21 - 15)] = √[21 × 8 × 7 × 6] = √7056 = 84 cm². The circumradius R is given by R = (abc) / (4A), where a = 13, b = 14, c = 15. So R = (13 × 14 × 15) / (4 × 84) = 2730 / 336 = 8.125 cm ≈ 8 cm. Correct answer: c) 8 cm
A solid non-conducting sphere of radius R carries a uniform volume charge density ρ. What is the ratio of electric field at r = R (surface) to that at ...
Charges +q and –q are placed at (–d, 0) and (+d, 0). A third charge Q is placed at (0, x). For what value of x will the force on Q be maximum?
The unit of electric power is —
What is the phenomenon of bending of light around corners called?
The frequency of ultrasonic waves is:
Newton's rings can be obtained in:
Which law states that energy can neither be created nor destroyed?
Which of the following pair regarding sound is correct?
I. Loudness – depends on amplitude
II. Shrillness – depends on frequency
If a body of mass 5 kg is raised to 10 meters height, find its potential energy. (g = 9.8 m/s²)
Relevant for Exams:
