A convex lens has a focal length of 10 cm in air. If the lens is made of a material with a refractive index of 1.5, calculate the radius of curvature of each surface if they are equal.
When the integers 10, 0, 5, – 5, – 7 are arranged in descending or
ascending order, them find out which of the following integers always
remains in the middle of the arrangement.
(a) 0 (b) 5 (c) – 7 (d) – 5
Calculate the escape velocity from the surface of Mars. Given: the mass of Mars is 6.42 x 10^23 kg and its radius is 3.39 x 10^6 meters. Assume G = 6.67 x 10^-11 N m²/kg².
A solenoid with 200 turns per meter carries a current of 4 A. Calculate the magnetic field inside the solenoid, assuming it is long and has a uniform magnetic field.
A sound wave with a frequency of 500 Hz travels through air at a speed of 340 m/s. Calculate its wavelength. Explain how the wavelength would change if the frequency were doubled.
A boy standing on the third stair on a staircase goes up by five more stairs. Which stair is he standing at now? At which step will he be after he comes down by 2 stairs?
A gas is compressed in a piston such that its pressure changes from 100 kPa to 150 kPa, and its volume decreases from 0.5 m³ to 0.3 m³. Calculate the work done on the gas, assuming a quasi-static process.
In an objective type test containing 25 questions. A student is to be awarded +5 marks for every correct answer, –5 for every incorrect answer and zero for not writing any answer. Mention the ways of scoring 110 marks by a student
A copper wire has a length of 2 meters and a cross-sectional area of 1 mm². If the resistivity of copper is 1.68 x 10^-8 ohm meter, calculate the resistance of the wire.
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