A wire of length 2.00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.
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A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.
Solution: Given diameter of copper rod, d = 1 cm Hence its radius, R= (1/2) cm Height of rod, H = length of rod = 8 cm ∴ Volume of rod = πR2H cubic units =...
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Obtain the formula for the electric field due to a long thin wire of uniform linear charge density λ without using Gauss’s
Why o is consider as mid point as it is not given in question
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Two wires A and B are made of same material. The wire A has a length l and diameter r while the wire B has a length 2l and diameter r/2.
The correct answer is (a) 1/8 Explanation: For wires of the same material, the elongation is directly proportional to the length and inversely proportional to the cross-sectional area. Δl/l = F/AY →Δl =Fl/AY {Here...
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The length of a metal wire is l_1 when the tension in it is T_1 and is l_2 when the tension is T, The natural length of the wire is
(c) (l1T2-l2 T1)/(T2-T1) Explanation: If the original length of the wire be l and the area of the cross-section a, then l₁-l = T₁*l/Ya And l₂-l = T₂*l/Ya Dividing we get, (l₁ -l)*T₂ = (l₂-l)*T₁ →l₁T₂ -lT₂= l₂...
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In a full wave rectifier circuit operating from 50Hz mains frequency, the fundamental frequency in the ripple would be.
(a) :- Frequency of full wave rectifier = 2 × input frequency = 2 × 50 = 100Hz.
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The fundamental frequency of a string is proportional to (a) inverse of its length
(a) inverse of its length EXPLANATION: The fundamental frequency of a string is given as ν₀ = ½{√(F/µ)}/L, where L is the length of the string. Clearly, the fundamental frequency of a string...
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A sonometer wire of length l vibrates in fundamental mode when excited by a tuning fork of frequency 416 Hz.
(a) vibrate with a frequency of 416 Hz EXPLANATION: The sonometer wire will vibrate with the same frequency as the tuning fork.
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A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tuning fork of frequency 416 Hz.
The correct answer is (d) 16 kg. EXPLANATION: Since the wire is made to vibrate with the same tuning fork the frequency of vibration remains the same. Equating the frequencies in both the...
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A steel wire and a copper wire of equal length and equal cross-sectional area are joined end to end and the combination is subjected to a tension.
(a) Since both types of wires are joined end to end, the same load will be on the cross-sections of them. If the load = F and the area of...
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A wire of 15Ω resistance is gradually stretched to double its original length.
When length of a given wire is made n-times by strecting it, its resistance becomes n2 times i.e., R' =n2R = (2)2 x 15 = 60Ω Resistance of each half part 60/2 = 30Ω When...
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