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When a ruler falls vertically, 5 different persons catch it with different reaction times. (g = 9.8 m s⁻²)

A. Person A has reaction time of 0.20 s.
B. Person B has reaction time of 0.22 s.
C. Person C has reaction time of 0.18 s.
D. Person D has reaction time of 0.19 s.
E. Person E has reaction time of 0.21 s.

What is the correct order of the distance travelled by the ruler for each person?

A uniform metallic wire having resistance 4 Ω is bent to form a square loop (ABCD) (see figure). A resistance of 2 Ω is connected between points B and D and a battery of 2 V is connected across points A and C as shown in the figure. Now the value of current (I) is:

A room heater is rated 400 W, 220 V. If the supply voltage drops to 200 V, what will be the power consumed (approximately)?

A 100-turn closely wound circular coil of radius 5 cm produces a magnetic field of $$3.14 \times 10^{-3}\text{ T}$$ at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of this coil are, respectively:
(Take $$\mu_0 = 4\pi \times 10^{-7}\text{ T m/A}$$)

A rectangular wire loop of sides 8 cm and 3 cm with a small cut, is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is 2 cm s⁻¹, in a direction normal to the shorter side of the loop, will be:

Four statements are given (A is mass number):

A. The volume of a nucleus is proportional to A^1/3.
B. The volume of a nucleus is proportional to A.
C. The difference in mass of an atom and its nucleus is called the mass defect.
D. The difference in mass of a nucleus and its constituents is called the mass defect.

Choose the correct answer from the options given below:

An unknown nucleus has a nuclear density of 2.29 × 10¹⁷ kg/m³ and mass of 19.926 × 10^-27 kg. Its mass number A is approximately:
(Take R₀ = 1.2 × 10^-15 m, 4π = 12.56)

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 π² = 9.8, and g = 9.8 m/s²)

An electric heater supplies heat to a system at a rate of 100 W. If the system performs work at a rate of 75 J/s, then the rate at which internal energy increases will be:

A thin wire of length 'L' and linear mass density 'm' is bent into a circular ring (in x-y plane) with centre 'C' as shown in figure. The moment of inertia of the ring about an axis yy' will be:

A galvanometer of resistance 100 Ω gives full scale deflection for a current of 1 mA. It is converted into an ammeter of range 0-10 A. The shunt required is:

In a metre bridge experiment (see figure), the positions of the cell, E, and galvanometer, G, are interchanged. We shall observe in the galvanometer:

The peak value of an alternating current is 5 A and its frequency is 60 Hz. How long will the current, starting from zero, take to reach the peak value?

The figure given below shows a long straight solid wire of circular cross-section of radius 'a' carrying steady current I. The current I is uniformly distributed across its cross-section. The plot which correctly represents the variation of magnetic field (B) with distance (r) from the axis of the conductor in the region is:

Two statements are given below:

A. When the forward bias voltage across a p-n junction diode increases above a certain threshold voltage, the diode current increases significantly.
B. This current is called reverse saturation current.

Choose the correct answer from the options given below:

Which of the following statements are correct?

A. Inside a conductor, the electrostatic field is zero.
B. Electric field at the surface of a charged conductor does not depend on its surface charge density.
C. The interior of a charged conductor can have no excess charge in the static situation.
D. At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point.
E. The electrostatic potential is zero everywhere inside a charged conductor.

Choose the correct answer from the options given below:

For a metal of work function 6.6 eV, which of the following wavelengths of incident radiation does not give rise to the photoelectric effect?
(Take Planck's constant as 6.6 × 10⁻³⁴ J s)

In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens after refraction:

A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface?
(Consider the density of water = 1000 kg m⁻³, 1 atm = 1 × 10⁵ Pa and gravitational acceleration g = 10 m/s²)

Match List I with List II:

Select the reagents that reduce nitriles to primary amines.

A. (i) LiAlH₄; (ii) H₂O
B. Sn + HCl
C. H₂ / Ni
D. Na(Hg) / C₂H₅OH
E. Br₂ / aq NaOH

Choose the correct answer from the options given below.

Match List I with List II:

Consider the following reaction:
$$2A(g) + B(g) \rightarrow 2D(g)$$
$$\Delta U^\ominus = -10\text{ kJ mol}^{-1}$$ and $$\Delta S^\ominus = -44\text{ J K}^{-1}$$ at 298 K.
Identify the correct option with $\Delta G^\ominus$ for the reaction and spontaneity of the reaction at 298 K.
(Given: R = 8.31 J mol⁻¹ K⁻¹)

Match List I with List II:

In a qualitative analysis, Bi³⁺ is detected by appearance of precipitate of BiO(OH)(s). Calculate pH when the following equilibrium exists at 298 K.
$$BiO(OH)(s) \rightleftharpoons BiO^+(aq) + OH^-(aq), \quad K = 4 \times 10^{-10}$$
(Given: log 2 = 0.3010)