WBJEE · Physics · Alternating Current
When a \(60 \mathrm{mH}\) inductor and a resistor are connected in series with an AC voltage source, the voltage leads the current by \(60^{\circ}\). If the inductor is replaced by a \(0.5 \mu \mathrm{F}\) capacitor, the voltage lags behind the current by \(30^{\circ} .\) What is the frequency of the AC supply?
- A \(\frac{1}{2 \pi} \times 10^{4} \mathrm{Hz}\)
- B \(\frac{1}{\pi} \times 10^{4} \mathrm{Hz}\)
- C \(\frac{3}{2 \pi} \times 10^{4} \mathrm{Hz}\)
- D \(\frac{1}{2 \pi} \times 10^{8} \mathrm{Hz}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2 \pi} \times 10^{4} \mathrm{Hz}\)
Step-by-step Solution
Detailed explanation
Given, inductance of inductor, \(L=60 \mathrm{mH}\) \[ =60 \times 10^{-3} \mathrm{H} \] Phase difference between voltage and current in \(L-R\) circuit, \(\theta_{1}=60^{\circ}\) Capacitance of capacitor, \(C=0.5 \mu \mathrm{F}=0.5 \times 10^{-6} \mathrm{F}\) Phase difference…
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
- Two wires of same radius having lengths \(l_{1}\)
and \(I_{2}\) and resistivities \(\rho_{1}\) and \(\rho_{2}\) are connected in series. The equivalent resistivity will beWBJEE 2016 Medium - A quantity X is given by \(\varepsilon_0 \mathrm{~L} \frac{\Delta \mathrm{~V}}{\Delta t}\), where \(\varepsilon_0\) is the permittivity of free space, L is the length, \(\Delta \mathrm{V}\) is a potential difference and \(\Delta t\) is a time interval. The dimension of \(X\) is same as that ofWBJEE 2025 Medium
- A body floats with \(\frac{1}{\mathrm{n}}\) of its volume keeping outside of water. If the body has been taken to height h inside water and released, it will come to the surface after time t. ThenWBJEE 2024 Medium
- An object placed in front of a concave mirror at a distance of \(x\) cm from the pole gives a 3 times magnified real image. If it is moved to a distance of \((x+5) \mathrm{cm},\) the magnification of the image becomes 2 . The focal length of the mirror isWBJEE 2012 Medium
- If the kinetic energy of a body changes by \(20 \%\) then its momentum would change by -WBJEE 2009 Medium
-
A small ball of mass \(m\) is suspended from the ceiling of a floor by a string of length \(L\). The ball moves along a horizontal circle with constant angular velocity \(\omega\), as shown in the figure. The torque about the centre ( O ) of the horizontal circle isWBJEE 2024 Medium
More PYQs from WBJEE
- Assume that each diode as shown in the tịgure has a forvard bias resistance of \(50 \Omega\) and an infinite reverse bias resistance. The current through the resistance \(150 \Omega\) is
WBJEE 2015 Easy - If \(A^2-A+I=0\), then the inverse of the matrix \(A\) isWBJEE 2009 Easy
- The time taken for an electron to complete one revolution in Bohr orbit of hydrogen atom isWBJEE 2016 Medium
- The general solution of the differential equation \(\frac{d y}{d x}=e^{y+x}+e^{y-x}\) is
where \(c\) is an arbitrary constantWBJEE 2009 Easy - The line \(x-2 y+4 z+4=0, x+y+z-8=0\) intersect the plane \(x-y+2 z+1=0\) at the pointWBJEE 2022 Easy
- If \(U_n(n=1,2)\) denote the \(n^{\text {th }}\) derivative \((n=1,2)\) of \(U(x)=\frac{L x+M}{x^2-2 B x+C}(L, M, B, C\) are constants \()\), then \(P U_2+Q U_1\) \(+R U=0\), holds forWBJEE 2024 Medium