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The speed of sound in a mixture of 1 mole of He and 2 mole of oxygen at 27°C is ______.
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The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R are 10 m/s2 and 6400 km, respectively. The required energy for this work will be ______.
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Two organ pipes are emitting their fundamental notes, when each closed at end, give 5 beats per sec. If their fundamental frequencies are 250 Hz and 255 Hz, then find the ratio of their lengths.
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An organ pipe closed at one end resonates with a tuning fork of frequencies 180 Hz and 300 Hz. It will also resonate with tuning fork of frequency ______.
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A ray of light AO in a vacuum is incident on a glass slab at an angle of 60° and refracted at an angle of 30° along OB as shown in the figure. The optical path length of the light ray from A to B is ______.

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The equation of a wave travelling on a stretched string is y = 4 sin 2π `("t"/0.02-"x"/100)`, here x and y are in cm and t is in second. The speed of wave is ______.
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The mass of the earth is 81 times the mass of the moon and the distance between their centres is R. The distance from the centre of the earth, where gravitational force will be zero is ______.
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A coil of n turns and resistance R Ω is connected in series with a resistance `"R"/2`. The combination is moved for time t second through magnetic flux ϕ1 to ϕ2, The induced current in the circuit is ______.
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When tension T is applied to a sonometer wire of length l, it vibrates with the fundamental frequency n. Keeping the experimental setup the same, when the tension is increased by 8 N, the fundamental frequency becomes three times the earlier fundamental frequency n. The initial tension applied to the wire (in newton) was ______.
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A parallel plate air condenser of capacity 10 µF is charged to a potential of 1000 V. The energy of the condenser is ______
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In an LCR circuit, at resonance ______
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Out of the following graphs, which graph shows the correct relation (graphical representation) for LC parallel resonant circuit?
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The energy in the superposition of waves ____________.
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In series resonance, LCR circuit, below the resonant frequency, the circuit is ____________.
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When the magnetic dipole is rotated through angle `theta`, work done in rotating dipole is given by -mB cos `theta`. Now, a magnetic needle lying parallel to a magnetic field requires W units of work to tum it through 60°. What will be the value of torque needed to maintain the needle in same position?
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An A.C. voltage of r.m.s. value 0.1 V is applied to an LCR series circuit in which L = 100 µH and C = 9 x 10-8 F and R = 2 `Omega`. The resonant frequency will be ____________.
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What is the ratio of the charges of two conducting spheres of radii r1 and r2 which have equal surface charge density?
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If the potential difference across the inductor (9 mH) is same as that across the condenser (10 µF) in a series R-L-C circuit, then the frequency of the applied e.m.f. is nearly ____________.
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A stretched wire of length 260 cm is set into vibrations. It is divided into three segments whose frequencies are in the ratio 2 : 3 : 4. Their lengths must be ______.
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In the given electrical circuit, which one of the following equations is a correct equation?

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