Question
Explain the concept of positive and negative work with varying pressure. Draw corresponding p-V diagrams.
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Sodium light of wavelength $5.896 \times 10^{-7} m$ is passed through two pinholes $0.5 mm$ apart, and an interference pattern is formed on a screen kept parallel to the plane of the pinholes and $1.2 m$ from them. Find the distance between
$(i)$ the second and the fifth bright fringes
$(ii)$ the third and the seventh dark fringes on the same side of the central bright point.
→$(i)$ the second and the fifth bright fringes
$(ii)$ the third and the seventh dark fringes on the same side of the central bright point.
A $15.0 \mu F$ capacitor is connected to a $220\ V, 50\ Hz$ source. Find the capacitive reactance and the current (rms and peak)
in the circuit. If the frequency is doubled, what will happen to the capacitive reactance and the current.
→in the circuit. If the frequency is doubled, what will happen to the capacitive reactance and the current.
The threshold wavelength of tungsten is $2.76 \times 10^{-5} cm$. (a) Explain why no photoelectrons are emitted when the wavelength is more than $2.76 \times 10^{-5} cm$.(b) What will be the maximum kinetic energy of electrons ejected in each of the following cases
(i) if ultraviolet radiation of wavelength $\lambda=1.80 \times 10^{-5} cm$ and
(ii) radiation of frequency $4 \times 10^{15} Hz$ is made incident on the tungsten surface.
→(i) if ultraviolet radiation of wavelength $\lambda=1.80 \times 10^{-5} cm$ and
(ii) radiation of frequency $4 \times 10^{15} Hz$ is made incident on the tungsten surface.
In a Faraday disc dynamo, a metal disc of radius R rotates with an angular velocity ω about an axis perpendicular to the plane of the disc and passing through its centre. The disc is placed in a magnetic field B acting perpendicular to the plane of the disc. Determine the induced emf between the rim and the axis of the disc.
Define and explain centrifugal force.
A drop of mercury of radius $0.2 cm$ is broken into 8 identical droplets. Find the work done if the surface tension of mercury is $435.5 dyne / cm$.
→When two cells of emfs. E1 and E2 are connected in series so as to assist each other, their balancing length on a potentiometer is found to be 2.7 m. When the cells are connected in series so as to oppose each other, the balancing length is found to be 0.3 m. Compare the emfs of the two cells.
Consider a heavy string X and a light string Y joined together at point O. Explain what happens when a wave pulse
(1) travelling from the string X reaches the junction O
(2) travelling from the string Y reaches the junction O.
(1) travelling from the string X reaches the junction O
(2) travelling from the string Y reaches the junction O.
A wheel of diameter $40 \mathrm{~cm}$ starts from rest and attains a speed of $240 \mathrm{rpm}$ in 4 minutes. Calculate its angular displacement in this time interval.
→Before the year 1900 the activity per unit mass of atmospheric carbon due to the presence of ${ }^{14} C$ averaged about $0.255 Bq$ per gram of carbon. (a) What fraction of carbon atoms were ${ }^{14} C$ ? (b) An archaeological specimen containing $500 mg$ of carbon, shows 174 decays in one hour. What is the age of the specimen, assuming that its activity per unit mass of carbon when the specimen died was equal to the average value of the air? Half-life of $14 C$ is 5730 years?
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