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A solid cylinder of uniform density of radius 2 cm has mass of 50 g. If its length is 12 cm, calculate its moment of inertia about an axis passing through its centre and perpendicular to its length.
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In Young' s experiment the ratio of intensity at the maxima and minima . in the interference pattern is 36 : 16. What is the ratio of the widths of the two slits?
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Calculate the density of paraffin oil, if glass capillary of diameter 0.25 mm dipped in paraffin oil of surface tension 0.0245 N/m rises to a height of 4 cm. (Angle of contact of paraffin with glass = 28° and acceleration due to gravity = 9.8 m/s2.)
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A wire of density ‘ρ’ and Young’s modulus ‘Y’ is stretched between two rigid supports separated by a distance ‘L’ under tension ‘T’. Derive an expression for its frequency in fundamental mode. Hence show that `n=1/(2L)sqrt((Yl)/(rhoL))` where symbols have their usual meanings
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A pipe open at both ends resonates to a frequency ‘n1’ and a pipe closed at one end resonates to a frequency ‘n2’. If they are joined to form a pipe closed at one end, then the fundamental frequency will be ______.
(A) `(n_1n_2)/(2n_2+n_1)`
(B) `(2n_2n_1)/(2n_2+n_1)`
(C) `(2n_2n_1)/(n_1+n_2)`
(D) `(n_2+2n_1)/(n_1n_2)`
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Find the wave number of a photon having energy of 2.072 eV
Given : Charge on electron = 1.6 x 10-19 C,
Velocity of light in air = 3 x 108 m/s,
Planck’s constant = 6.63 x 10-34 J-s.
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Two diametrically opposite points of a metal ring are connected to two terminals of the left gap of meter bridge. The resistance of 11 Ω is connected in right gap. If null point is obtained at a distance of 45 cm from the left end, find the resistance of metal ring.
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When a hole is produced in P-type semiconductor, there is _______.
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Derive an expression for path difference in Young’s double slit experiment and obtain the conditions for constructive and destructive interference at a point on the screen.
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When the angular acceleration of a rotating body is zero, which physical quantity will be equal to zero?
(A) Angular momentum
(B) Moment of inertia
(C) Torque
(D) Radius of gyration
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Obtain the differential equation of linear simple harmonic motion.
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Draw a neat, labelled diagram for a liquid surface in contact with a solid, when the angle of contact is acute.
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A transverse wave is produced on a stretched string 0.9 m long and fixed at its ends. Find the speed of the transverse wave, when the string vibrates while emitting the second overtone of frequency 324 Hz.
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Two sound notes have wavelengths 83/170 m and 83/172 m in the air. These notes when sounded together produce 8 beats per second. Calculate the velocity of sound in the air and frequencies of the two notes.
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If a watch-glass containing a small quantity of water is placed on two dissimilar magnetic poles, then water ______.
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If a watch-glass containing a small quantity of water is placed on two dissimilar magnetic poles, then water ______.
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An unknown resistance is placed in the left gap and resistance of 50 ohm is placed in the right gap of a meter bridge. The null point is obtained at 40 cm from the left end. Determine the unknown resistance.
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Two soap bubbles have radii in the ratio 4:3. What is the ratio of work done to blow these bubbles?
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Explain the physical significance of radius of gyration
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A uniform solid sphere has radius 0.2 m and density 8 x 103 kg/m3. Find the moment of
inertia about the tangent to its surface. (π = 3.142)
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