A binary operation \( \otimes \) defined on the set of integers is such that \( m \otimes n = m + n + mn \) for all integers m and n. Find the inverse of -5...

A progressive wave is represented by \(y = 10\operatorname{Sin}\left(1000\pi t - \frac{\pi x}{34}\right)\). two layers of the wave separated by 153cm have a ...

Calculate the e.m.f of the cell in the above circuit if its internal resistance is negligible.

A near sighted student has a near point of 0.1m and a focal length of 5.0cm. What is the student's far point?

From the diagram above, if the potential difference across the resistor, capacitor and inductor are 80 v, 110 v, 40 v respectively, the effective potential d...

An air craft attempt too fly due north at 100 kmh-1. If the wind blows against it from east to west at 60 kmh-1, its resultant velocity is

The diagram above represents the graph of the force F applied in stretching a spiral spring against the corresponding extension (X). The force constant of th...

The wave phenomenon demonstrated in the diagram above is

If a light wave has a wavelength of 500nm in air what is the frequency of the wave? [c = 3 x 108 ms-1]