Which of the following combinations should be selected for better tuning of an \(L-C-R\) circuit used for communication ?

The reciprocal of resistance is

In an electromagnetic wave in free space the root mean square value of the electric field is \(E_{rms} = 6\, V m^{-1}\) The peak value of the magnetic field is

Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum L, notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as :
(Take \(\pi^2=9.8\), and \(g=9.8 m / s ^2\) )

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\): The potential ( \(V\) ) at any axial point, at \(2 \mathrm{~m}\) distance ( \(r\) ) from the centre of the dipole of dipole moment vector \(\vec{P}\) of magnitude, \(4 \times 10^{-6} \mathrm{C} \mathrm{m}\), is \(\pm 9 \times 10^3 \mathrm{~V}\). (Take \(\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{Sl}\) units) Reason \(R\): \(V= \pm \frac{2 P}{4 \pi \epsilon_0 r^2}\), where \(r\) is the distance of any axial point, situated at \(2 \mathrm{~m}\) from the centre of the dipole. In the light of the above statements, choose the correct answer from the options given below:

A standard filament lamp consumes \(100\,W\) when connected to \(200\,V\) ac mains supply. The peak current through the bulb will be \(........\,A\)

A logic circuit provides the output \(Y\) as per the following truth table :

\(A\)	\(B\)	\(Y\)
\(0\)	\(0\)	\(1\)
\(0\)	\(1\)	\(0\)
\(1\)	\(0\)	\(1\)
\(1\)	\(1\)	\(0\)

The expression for the output \(Y\) is :

What is the pattern of inheritance for polygenic trait?

Match List-\(I\) with List-\(II\).

List-\(I\) (Molecule)	List-\(II\). (Number and types of bond/s between two carbon atoms)
\(A\). ethane	\(I\). one \(\sigma\)-bond and two \(\pi\)-bonds
\(B\). ethene	\(II\). two \(\pi\)-bonds
\(C\). carbon molecule, \(\mathrm{C}_2\)	\(III\). one \(\sigma\)-bond
\(D\). ethyne	\(IV\). one \(\sigma\)-bond and one \(\pi\)-bond

Choose the correct answer from the options given below:

A sphere of radius \(R\) is cut from a larger solid sphere of radius \(2 R\) as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is _______.

To an ac power supply of 220 V at 50 Hz , a resistor of \(20 \Omega\), a capacitor of reactance \(25 \Omega\) and an inductor of reactance \(45 \Omega\) are connected is series. The corresponding current in the circuit and the phase angle between the current and the voltage is, respectively-

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\): Endometrium is necessary for implantation of blastocyst. Reason \(R\): In the absence of fertilization, the corpus luteum degenerates that causes disintegration of endometrium. In the light of the above statements, choose the correct answer from the options given below:

Choose the correct statements regarding cell organelles and their inclusions.
A. The endomembrane system includes Golgi complex, endoplasmic reticulum and mitochondria.
B. Rough endoplasmic reticulum bears ribosomes on its surface.
C. Both mitochondria and plastids have circular DNA.
D. A network of microtubules, microfilaments and intermediate filaments present in the cytoplasm is called cytoskeleton.
E. Mitochondrion is a single membrane-bound structure.
Choose the correct answer from the options given below :