A transformer has an efficiency of 80%. It works at 3 kW and 120 V. If the secondary voltage is 240 V, what will be the secondary current ?

A plane electromagnetic wave of frequency 75 Hz travels in free space along the X -direction. At a particular point in space and time \(\vec{E}=9.6 \hat{j}\). What is \(\vec{B}\) at that point ?
( \(E=\) Electric field, \(B=\) Magnetic field)

The magnetic flux (Φ) through the area of cross-section of a current-carrying coil is proportional to the current (i) i.e., Φ = Li.
(A) L is self-inductance of the coil
(B) The self-inductance of the coil does not depend on its geometry
(C) self-inductance is the electromagnetic analogue of mass in mechanics
(D) The self-inductance of the coil depends on the permeability of the medium inside coil
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Which of the following statements are correct?
(A) The electric field and magnetic field vectors of an electromagnetic wave are perpendicular to each other and also perpendicular to the direction of propagation of wave.
(B) Short waves are reflected from ionosphere.
(C) Electric field vector, E and magnetic field vector B have the same frequency.
(D) The line integral of magnetic field induction over a closed path is not zero.
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A neutron is absorbed by a \( {}^6_3\text{Li} \) nucleus with subsequent emission of an alpha particle. The energy released in the reaction is
Use mass of \( {}^6_3\text{Li} = 6.015126 \text{ u} \)
Mass of \( {}^4_2\text{He} = 4.002604 \text{ u} \)
Mass of \( {}^1_0\text{n} = 1.008665 \text{ u} \)
Mass of \( {}^3_1\text{H} = 3.016049 \text{ u} \) and \( 1 \text{ u} = 931 \text{ MeV} \)

The electric potential at the centre of a square of side \(\sqrt{2} \, m\) having charges \(90 \, μC, - 60 \, μC, 30 \, μC\) and \(- 40 \, μC\) at the four corners of the square is:

Three capacitors, C1, C2, C3 are connected in series. This combination is connected in parallel with capacitor C4. C1 = C2 = C3 = 30 \( \mu F \) and C4 = 10 \( \mu F \). Now a potential 400 V is applied across the combination. The total charge across the combination of capacitors is

Which of the following in NOT true for Bt toxin ?
(A) It is produced by Bacillus thuringiensis
(B) It is produced in active form
(C) It exist as inactive protoxin
(D) It is used to produce nematode-resistant plants
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The magnetic flux through a coil perpendicular to the plane is varying according to the relation \( \phi = (7t^3 + 3t^2 - 2t - 2) \, \text{Wb} \). If the resistance of the coil is \( 10\Omega \), the induced current through the coil at t = 2 s, will be

A startup company invested ₹ \(5,00,000\) in shares for 4 years. The value of the investment was: ₹ \(5,50,000\) at the end of first year, ₹ \(5,25,000\) at the end of third year, and on maturity, the final value stood ₹ \( 6,25,000\). The CAGR on the investment will be : [Given : \((1.25)^{\frac{1}{4}}=1.06\)]

Bases of RNA are -

Read the passage carefully and answer the questions
The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
Impure nickel is converted to which of its complex to be decomposed to yield pure nickel?

Consider the function \(f(x)=x^3-3 x\). Then Match List-I with List-II:

List-I	List-II
(A) Point of local Maxima	(I) 1
(B) Point of local Minima	(II) -1
(C) Local maximum value	(III) 2
(D) Local minimum value	(IV) - 2

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