KCET · Physics · Alternating Current
A sinusoidal voltage produced by an AC generator at any instant t is given by an equation \(\mathrm{V}=311 \sin 314\) t . The rms value of voltage and frequency are respectively
- A \(200 \mathrm{~V}, 50 \mathrm{~Hz}\)
- B \(220 \mathrm{~V}, 100 \mathrm{~Hz}\)
- C \(220 \mathrm{~V}, 50 \mathrm{~Hz}\)
- D \(200 \mathrm{~V}, 100 \mathrm{~Hz}\)
Answer & Solution
Correct Answer
(C) \(220 \mathrm{~V}, 50 \mathrm{~Hz}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & V=311 \sin 314 \mathrm{t} \quad \mathrm{V}_{\mathrm{ms}}=\frac{\mathrm{V}_0}{\sqrt{2}}=\frac{311}{\sqrt{2}}=220 \mathrm{~V} \\ & \mathrm{~W}=2 \pi \mathrm{f} \\ & 314=2 \pi \mathrm{f} \Rightarrow \mathrm{f}=50 \mathrm{~Hz} \text { [For sinusoidal AC] }\end{aligned}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- An object is placed at a distance of \( 20 \mathrm{~cm} \) from the pole of a concave mirror of focal length \( 10 \)
\( \mathrm{cm} \). The distance of the image formed isKCET 2018 Medium - An infinitely long thin straight wire has uniform charge density of \(\frac{1}{4} \times 10^{-2} \mathrm{~cm}^{-1}\).
What is the magnitude of electric field at a distance \(20 \mathrm{~cm}\) from the axis of the wire?KCET 2020 Medium - Two equal and opposite charges of masses \( \mathrm{m}_{1} \) and \( \mathrm{m}_{2} \) are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their mi ratio of masses is \( \frac{\mathrm{m}_{1}}{\mathrm{~m}_{2}}=0.5 \) ?KCET 2014 Medium
- A prism of a certain angle deviates the red and blue rays by \(8^{\circ}\) and \(12^{\circ}\) respectively. Another prism of the same angle deviates the red and blue rays by \(10^{\circ}\) and \(14^{\circ}\) respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratioKCET 2007 Hard
- A monochromatic beam of light is travelling from medium \(A\) of refractive index \(n_{1}\) to a medium \(\mathrm{B}\) of refractive index \(\mathrm{n}_{2}\). In the medium \(A\), there are \(x\) number of waves in certain distance. In the medium B, there are \(y\) number of waves in the same distance. Then, refractive index of medium \(A\) with respect to medium \(B\) isKCET 2012 Hard
- A cylindrical tube open at both the ends has a fundamental frequency of \(390 \mathrm{~Hz}\) in air. If \(\frac{1}{4}\) th of the tube is immersed vertically in water the fundamental frequency of air column isKCET 2009 Hard
More PYQs from KCET
- Interferons are the protein molecules produced from theKCET 2013 Hard
- The enthalpy of vaporization of benzene is \(+35.3 \mathrm{~kJ} / \mathrm{mol}\) at its boiling point, \(80^{\circ} \mathrm{C}\). The entropy change in the transition of vapour to liquid at its boiling point isKCET 2011 Medium
- The maximum number of possible optical isomers in 1-bromo-2-methyl cyclobutane isKCET 2011 Hard
- The set of real values of \(x\) for which \(f(x)=\frac{x}{\log x}\) is increasing, isKCET 2010 Easy
- If the size of a fertilized egg of frog if compared with the size of its blastula and gastrula stages, which of the following observations will be correct?KCET 2005 Easy
- Which of the following oxides shows electrical properties like metals?KCET 2018 Hard