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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A hollow light cylinder of length 10 cm is suspended by a string of length 95 cm. Calculate the time period of this simple pendulam when the cylinder is completely filled with mercury, (ii) half filled with mercury, (g=9.81 `ms^(-2)`) |
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Answer» Correct Answer - (i) 2.006 s, (ii) 2.031 s |
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| 2. |
A pendulum clock is mounted in an elevator car which starts going up with a constant acceleration `w`, with `w lt g`. At a height `h` the acceleration of the car reverses, its magnitude remaining constant. How soon after the start of the motion will the clock show the right time again ? |
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Answer» Correct Answer - `sqrt((2h)/(a)) sqrt((1+n)-sqrt(1-n))/(1-sqrt(1-n)),"where" n=a//g` |
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| 3. |
A simple pendulam of period 2 s is suspended from the cielieng of a car at rest. The car moves horizontally with acceleration 4.9 `ms^(-2)`. Find the period of oscillation of the pendulam. [Hint: Bring the car to rest by applying inertia force. Consider the moition of the pendulam in this condition . `T=2pisqrt((l)/(sqrt(a^(2)+g^(2))))`.] |
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Answer» Correct Answer - 1.891 s |
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| 4. |
A compound pendulum consists of a rigid light rod having two spherical bobs of masses `m_(1) and m_(2)` at distance `l_(1) and l_(2)` from the centre of suspension. Find the time period of oscillations of the pendulum |
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Answer» Correct Answer - `T=2pi sqrt((m_(1)l_(1^(2)+m_(2)l_(2)^(2)))/(m_(1)l_(1)+m_(2)l_(2)))` |
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| 5. |
A uniform cirucular disc of 25cm radius oscillates in its own plane about points on its circumference. Calculate the time of oscillation `(g=9.8ms^(-2))` |
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Answer» Correct Answer - 1.23s |
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| 6. |
A simple pendulam which beats a second on the surface of the earth where g=9.8`ms^(-2)` is taken to the top of a hill where it is found to lose 2 s in an hour, What is the hight of the hill ?(Radius of the earth =`6. |
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Answer» Correct Answer - 3.55 km |
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| 7. |
A faultyu seconds pendulems loses 9 s per day. Find the required alteration in length for it to keep correct time. |
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Answer» Correct Answer - `0.02xx10^(-2)` |
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