A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is ν in the direction shown, which one of the following options is correct? (P and Q are any highest and lowest points on the wheel, respectively).

Stress in a wire at 3L/4 from lower end with W1 hanging:

A spherical shell is uniformly charged. What is the potential difference between points C (inside) and P (on surface)?

In an ideal transformer with turns ratio Np/Ns = 2, what is the voltage ratio Vs/Vp?

Consider the following statements A and B and identify the correct answer: A. For a solar-cell, the I-V characteristics lie in the IV quadrant of the given graph. B. In a reverse biased pn junction diode, the current measured in (µA) is due to majority charge carriers.

A 10 μF capacitor is connected to a 210 V, 50 Hz source. Peak current in the circuit is (π = 3.14):

The quantities which have the same dimensions as those of solid angle are:

The quantities which have the same dimensions as those of solid angle are:

A thin flat circular disc of radius 4.5 cm is placed gently over the surface of water. If surface tension of water is 0.07 N m–1, then the excess force required to take it away from the surface is

If the mass of bob is tripled and its length halved, x² = ? (new time period)

Two bodies A and B of same mass undergo completely inelastic one-dimensional collision. Body A moves with velocity v1v_1v1​ while body B is at rest before the collision. The velocity of the system after collision is v2v_2v2​. The ratio v1:v2v_1 : v_2v1​:v2​ is

In the Below diagram, a strong bar magnet is moving towards solenoid-2 from solenoid-1. The direction of induced current in solenoid-1 and that in solenoid-2, respectively, are through the directions:

The moment of inertia of a thin rod about an axis passing through its midpoint and perpendicular to the rod is 2400 g·cm². The length of the 400 g rod is nearly:

In the following circuit, the equivalent capacitance between terminal A and terminal B is:

If x = 5 sin( (πt / 3) + π ) m represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are:

A rocket accelerates at 10 m/s^2 for 60s, fuel ends, total max height?

If the monochromatic source in Young’s double slit experiment is replaced by white light, then:

Which statements about a photon are correct?

Two bodies A and B of same mass undergo completely inelastic one-dimensional collision. Body A moves with velocity v1v_1v1​ while body B is at rest before the collision. The velocity of the system after collision is v2v_2v2​. The ratio v1:v2v_1 : v_2v1​:v2​ is

The mass of a planet is 1/10 that of Earth and its diameter is half that of Earth. The acceleration due to gravity on that planet is:

"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:"

At any instant of time ttt, the displacement of any particle is given by x=2t−1x = 2t - 1x=2t−1 (in SI units) under the influence of a force of 5 N. What is the value of instantaneous power?

An unpolarised light beam strikes a glass surface at Brewster's angle. Then

290 X → Y → Z → P → Q In the nuclear emission stated above, the mass number and atomic number of the product Q respectively, are

The terminal voltage of the battery, whose emf is 10 V and internal resistance 1 Ω, when connected through an external resistance of 4 Ω is:

Max elongation of a steel wire (L = 1 m), elastic limit = 8×10⁸ N/m², Y = 2×10¹¹ N/m²

Minimum energy to launch satellite of mass m to height 2R above Earth (mass M, radius R)

Match List-I with List-II List-I (Material)         List-II (Susceptibility χ) A. Diamagnetic           I.  χ = 0 B. Ferromagnetic          II.  χ >> 1 C. Paramagnetic           III.  0 < χ χ ≥ –1

A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates:

A particle moving with uniform speed in a circular path maintains:

Property not of EM wave in free space:

T-V curves of ideal gas show Charles’s law with pressures P₁, P₂, P₃. Correct relation?

In a uniform magnetic field of 0.049 T, a magnetic needle performs 20 complete oscillations in 5 seconds. The moment of inertia of the needle is 9.8×10⁻⁶ kg·m². If the magnetic moment of the needle is x×10⁻⁵ A·m², find the value of x.

At what temperature should a gold ring be heated to fit over bangle?

| **List I** – Spectral lines of Hydrogen (Transition from) | **List II** – Wavelength (nm) | A. n₂ = 3 to n₁ = 2 I. 656.3 B. n₂ = 4 to n₁ = 2 II. 486.1 C. n₂ = 5 to n₁ = 2 III. 434.1 D. n₂ = 6 to n₁ = 2 IV. 410.2

The output (Y) of the given logic gate is similar to the output of an/a

A 100 Ω wire is cut into 10 equal parts. 5 in series + 5 in parallel, then both in series. Total resistance?

A bob whirled in circle has tension T at ω rpm. What’s tension if speed becomes 2ω?

"Given below are two statements: Statement I: Atoms are electrically neutral as they contain equal number of positive and negative charges. Statement II: Atoms of each element are stable and emit their characteristic spectrum. In the light of the above statements, choose the most appropriate answer from the options given below.

A light ray enters through a right-angled prism at point P with the angle of incidence 30° as shown in the figure. It travels through the prism parallel to its base BC and emerges along the face AC. The refractive index of the prism is:

In a vernier caliper, (N + 1) divisions of the vernier scale coincide with N divisions of the main scale. If 1 MSD represents 0.1 mm, the vernier constant (in cm) is:

A thermodynamic system is taken through the cycle abcda. The work done by the gas along the path bc is:

"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 m distance (r) from the centre of the dipole of dipole moment vector P of magnitude, 4 × 10–6 C m, is ± 9 × 103 V. (Take 1 = 9 × 109 SI units) 4II0 Reason R: V II 2P , where r is the distance of any axial point, situated at 2 m from the centre of the 4II0 r 2 dipole. In the light of the above statements, choose the correct answer from the options given below: (1) Both A and R are true and R is the correct explanation of A. (2) Both A and R are true and R is NOT the correct explanation of A. (3) A is true but R is false. (4) A is false but R is true. "

A 100-turn coil (r = 10 cm) carries 7 A. Magnetic field at center? (μ₀ = 4π×10⁻⁷)