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. May 2019

Current Electricity: DC Circuits


Q- For the network of Figure,

(a) determine the value of R for maximum power to R.

(b) Determine the maximum power to R.

Solution:

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Quantum Physics: Potential Well

Q- An electron is trapped in an infinite well of width 11 nm. If the electron drops down 5 energy levels and, in the process, emits a photon with wavelength 642.94 nm, then what is the final energy of the electron?

Solution:

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Simple Harmonic Motion

(On request-Raunak)

Q- Two particles executes SHM of same amplitude of 20 cm with same period along the same line and about same equilibrium position. If the maximum distance between them is 20 cm, find their phase difference.

Solution:

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Projectile Motion

Q- A shall is fired from a hill of height ‘h’ at an angle of 450.  What is the magnitude of its velocity of projection as a function of its horizontal distance covered on ground x, acceleration due to gravity g and height h?

Solution:

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AC Circuits

Q- In an AC circuit the voltage across a resistive component is given by V(t) = 10 + 5 sin (3t). Find

(a) The voltage amplitude

(b) Root mean square voltage across the component Vrms.

Solution:

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Thermodynamics: Refrigerator

Q- A household refrigerator that has a power input of 450W and a COP of 2.5 is to cool 5 large watermelons, 10 kg each, to 10oC. If the melons are initially at 20oC, determine how long it will take for the refrigerator to cool them. The specific heat of melons = 4.2 kJ/(kg.oC)

Solution:

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