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Answer the following question.
Derive equations of motion graphically for a particle having uniform acceleration, moving along a straight line.
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Solve the following problem.
An aeroplane has a run of 500 m to take off from the runway. It starts from rest and moves with constant acceleration to cover the runway in 30 sec. What is the velocity of the aeroplane at the take-off?
Concept: undefined >> undefined
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Solve the following problem.
A car moving along a straight road with a speed of 120 km/hr, is brought to rest by applying brakes. The car covers a distance of 100 m before it stops. Calculate
(i) the average retardation of the car
(ii) time taken by the car to come to rest.
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Solve the following problem.
A car travels at a speed of 50 km/hr for 30 minutes, at 30 km/hr for next 15 minutes and then 70 km/hr for next 45 minutes. What is the average speed of the car?
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Solve the following problem.
A velocity-time graph is shown in the adjoining figure.
Determine:
- the initial speed of the car
- the maximum speed attained by the car
- part of the graph showing zero acceleration
- part of the graph showing constant retardation
- distance travelled by car in the first 6 sec.
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Solve the following problem.
A metro train runs from station A to B to C. It takes 4 minutes in travelling from station A to station B. The train halts at station B for 20 s. Then it starts at station B and reaches station C in next 3 minutes. At the start, the train accelerates for 10 sec to reach a constant speed of 72 km/hr. The train moving at the constant speed is brought to rest in 10 sec. At the next station.
(i) Plot the velocity- time graph for the train travelling from station A to B to C.
(ii) Calculate the distance between the stations A, B and C.
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Answer the following question.
State Kepler’s law of equal areas.
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Answer the following question.
State Kepler’s law of the period.
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Answer the following question in detail.
State Kepler’s three laws of planetary motion.
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Answer in one sentence.
Define elasticity.
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Answer in short.
Distinguish between elasticity and plasticity.
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Choose the correct option.
Consider the optically denser lenses P, Q, R, and S drawn below. According to the Cartesian sign convention which of these have a positive focal length?
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Answer the following question.
Which phenomena can be satisfactorily explained using ray optics?
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Answer the following question.
State the assumptions on which ray optics is based.
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Answer the following question.
Clearly, state the difference between heat and temperature?
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Answer briefly.
Wave motion is doubly periodic. Explain.
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Answer briefly.
Define wavelength of a wave.
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Answer briefly.
Draw a wave and indicate points which are
- in phase
- out of phase
- have a phase difference of `pi/2`
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Define the relation between velocity, wavelength, and frequency of the wave.
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