In a region of constant potential,

In series LCR circuit, the rms potential drop across R, L and C are V, 2 V and 2 V volts respectively. The source voltage is:

The separation between the plates of a charged parallel plate capacitor is increased. Which of the following quantities will change?
(A) charge on the capacitor plates
(B) potential difference across the capacitor
(C) energy of the capacitor
(D) energy density between the plates of the capacitor
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Two cells each of emf E and internal resistance r are connected in such a way that their positive terminals are connected to point X and negative terminals are connected to point Y. The potential difference between X and Y is

The magnetic susceptibility of material is \( \chi = -1 \) and relative magnetic permeability is zero. Then the type of material is

The wavelength will be minimum in the transitions of electrons from:

A radioactive substance is emitting β- particles at a certain rate. When it is heated to a high temperature, the rate of emission

Match List-l with List-ll

List-l (Statement)	List-ll (Its value)
(A) Degree of the differential equation \(\frac{d^2 y}{d x^2}=e^{d y / d x}\) is	(I) 2
(B) Order of the differential equation \(\left(\frac{d y}{d x}\right)^2+\frac{d^3 y}{d x^3}=0\) is	(II) not defined
(C) Degree of the differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2-5 x^2=0\)	(III) 3
(D) If \(p\) is the order and \(q\) is the degree of the differential equation \(\frac{d y}{d x}+3 y=e^x\), then \(p+q\) is	(IV) 1

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Match List-I with List-II

List-I	List-II
(A) Maximum value of \(f(x)=\sin ^2 x-\cos ^2 x \forall x \in(\pi, 2 \pi)\)	(I) \(0\)
(B) Minimum value of \(f(x)=\sin x \cdot \cos x\)	(II) 1
(C) Point of Minima of \(f(x)=x^x(x>0)\)	(III) \(-\frac{1}{2}\)
(D) Maximum value of \(f(x)=-x^{2026}\)	(IV) \(\frac{1}{e}\)

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During lockdown, Amit was suffering from heart problem. After proper check-up it was deducted that he has \(45\%\) chance of having heart attack, but yoga and meditation assumed to reduce the chance of heart attack by \(25\%\) and \(20\%\) respectively. He has option to choose any of the two options with equal probabilities. If Amit choose yoga to reduce the chance of heart attack, then the chance of heart attack is:During lockdown, Amit was suffering from heart problem. After proper check-up it was deducted that he has \(45\%\) chance of having heart attack, but yoga and meditation assumed to reduce the chance of heart attack by \(25\%\) and \(20 \%\) respectively. He has option to choose any of the two options with equal probabilities.
If Amit choose yoga to reduce the chance of heart attack, then the chance of heart attack is:

Arrange the following solutions in increasing order of their concentration.
(A) \(7.5 \text{ g } KCl\) (74.5 g \(mol^{-1}\)) in 100 mL solution
(B) \(3 \text{ g } Urea\) (60 g \(mol^{-1}\)) in 1 L solution
(C) \(3.6 \text{ g } glucose\) (180 g \(mol^{-1}\)) in 100 mL solution
(D) \(4 \text{ g } NaOH\) (40 g \(mol^{-1}\)) in 1 L solution
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Which one of the following statements does not improve the reproductive health of society?

Match list-I with list-II

List-I	List-II
(A) Rays used in satellite communication	(I) X rays
(B) Rays produced in nuclear reaction	(II) Gamma rays
(C) Radiation used for studying crystal structure	(III) Ultraviolet rays
(D) Radiation absorbed by ozone layer	(IV) microwave

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