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A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate $g$, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are $e_1$ and $e_2$ respectively, the percentage error in the estimation of $g$ is
A thin flat circular disc of radius $4.5 \text{ cm}$ is placed gently over the surface of water. If the surface tension of water is $0.07 \text{ N m}^{-1}$, then the excess force required to take it away from the surface is:
The diameter of a spherical bob, when measured with vernier callipers yielded the values: 3.33 cm, 3.32 cm, 3.34 cm, 3.33 cm and 3.32 cm. The mean diameter to appropriate significant figures is:
The physical quantity that has the same dimensional formula as pressure is:
The approximate depth of an ocean is $2700 \text{ m}$. The compressibility of water is $45.4 \times 10^{-11} \text{ Pa}^{-1}$ and the density of water is $10^3 \text{ kg/m}^3$. What fractional compression of water will be obtained at the bottom of the ocean?
The number of electrons that can be fit into the orbital for which n = 3 and l = 1 is:
At what height from the surface of earth the gravitation potential and the value of g are -5.4 × 10^7 J kg^-1 and 6.0 m s^-2 respectively? (Take the radius of earth as 6400 km.)
The velocity of a small ball of mass $M$ and density $d$, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d/2$, then the viscous force acting on the ball will be:
Match List- I with List- II. List-I (Measured values) (A) 0.001213 (B) $2.1 \times 10^{16}$ (C) 3.70 (D) 3000 List-II (Significant figures) (I) 2 (II) 3 (III) 1 (IV) 4
A body weighs 200 N on the surface of the earth. How much will it weigh half way down to the centre of the earth ?
A bullet from a gun is fired on a rectangular wooden block with velocity $u$. When the bullet travels $24\text{ cm}$ through the block along its length horizontally, velocity of bullet becomes $u/3$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
A particle of mass m is thrown upwards from the surface of the earth with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth is
The number of d-electrons in Fe²⁺ (Z=26) is not equal to the number of electrons in which one of the following?
A planet moving along an elliptical orbit is closest to the sun at a distance r₁ and farthest away at a distance of r₂. If v₁ and v₂ are the linear velocities at these points respectively, then the ratio v₁/v₂ is:
According to the Bohr Theory, which of the following transitions in the hydrogen atom will give rise to the least energetic photon?
Which one of the following does not exhibit the phenomenon of mutarotation?
In the Hydrogen atom, the energy of the first excited state is – 3.4 eV. Then find out the kinetic energy (K.E.) of the same orbit of the Hydrogen atom:
Which of the following is not a fat-soluble vitamin?
The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R₁ to another of radius R₂ (R₂ > R₁) is
The dimensions $[MLT^{-2}A^{-2}]$ belong to the: