Question
If the sum of two numbers is cubed and equals 3375, and
their product is 150, what is the positive difference between their individual cubes?Solution
ATQ;
Let the numbers be A and B.
Product of numbers AB = 150... (1)
And (A + B)³ = 3375 = 15³
So, A + B = 15... (2)From equation (1) and (2),
A = 10 and B = 5
Therefore,
A³ - B³ = 10³ - 5³ = 1000 - 125 = 875
The absolute temperature of a body A is five times that of another body B. For two bodies, the difference in wave lengths at which energy radiated is ma...
A porter lifts luggage of 20 kg from the ground and puts it on his head 2 m above the ground. Calculate the work done by him on the luggage (take g = 10...
A capacitor of 4 µF is charged to 100 V. It is then connected across an uncharged 2 µF capacitor. Final common voltage is:
What is the density of an object with mass 500 g and volume 250 cm³? Â
A body is thrown upward with an initial velocity of 20m/s. How much time will it take to reach its maximum height. (g=10m/s)
A dipole with moment p = 2i + 3j - 4k is placed at A(2, −3, 1). Find the electric potential at point B(4, −1, 0) in volts. (Use 1/(4 π ε0) = 9 × ...
A uranium nucleus undergoes fission and releases 200 MeV per event. If 1 gram undergoes complete fission, the energy released in kWh is:
The reason for a swimming pool to appear less deep than the actual depth is –
A Zener diode differs from a regular diode in that:
The movement of a train is an example of what type of motion?
Relevant for Exams:
