Question Library

The maximum kinetic energy and work function are 2 eV and 8 eV, respectively. What is the energy of the incident radiation?

What is the work function of a certain metal if a strong beam of light can cause a breakaway of electron from its surface? [h = 6.63 × 10\(^{−34}\) Js, f\(_0\) = 5.3 × 10\(^{13}\) Hz]

A ray of light has a glancing angle of 60° on a plane mirror. What is the angle of deviation of the ray?

From the diagram above, if the velocity of the wave is 240 ms\(^{−1}\), the frequency of the first overtone is

The magnifying powers of the lenses of a compound microscope are 5 and 6. Calculate the overall magnifying power.

A certain eye subtended 0.035 radians when unaided and later 0.875 radians when aided by a particular optical instrument. Calculate the magnifying power of the instrument.

From the above diagram, what reading is seen on the scale of the micrometer screw gauge?

Solve the simultaneous equation \(\frac{\text{x}}{2}\) - \(\frac{\text{y}}{5}\) = 1 and y - \(\frac{\text{x}}{3}\) = 8

The chord of a circle of radius 17 cm is 30 cm long. Calculate the distance of the chord from the centre of the circle.

In the diagram above, PQ is parallel to TU, < PQR = 50º, < QRS = 86º, and < STU = 64º. Calculate the value of x

a. Copy and complete the table for the relation y = 2cos2x - 1 x 0º 30º 60º 90º 120º 150º 180º y = 2cos 2x - 1 1.0 0 1.0 b. Using a scale of 2cm = 30º on the x - axis and 2cm = 1 unit on the y - axis, draw the graph of y = 2cos2x - 1 for 0º ≤ x ≤ 180º c. On the same axes, draw the graph of y = \(\frac{1}{180}\)(x - 360) d. Use your graphs to find the values of x for which 2cos2x + \(\frac{1}{2}\) = 0

Convert 137 to base 5

Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64

Simplify - log\(_{10}\) 0.00001.

If log\(_{10}\)x = 2.3675 and log\(_{10}\)y = 2.9738, what is the value of x + y, correct to three significant figures