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

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:

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:

"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:

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

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

Property not of EM wave in free space:

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

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

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

"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:"

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

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

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

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

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

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?

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

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

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

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).

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

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

| **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

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

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

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.

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

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:

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

Which statements about a photon are correct?

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.

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

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:

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

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

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

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:

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