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If the total energy of a particle executing SHM is E, then the potential energy V and the kinetic energy K of the particle in terms of E when its displacement is half of its amplitude will be ______.
Concept: undefined >> undefined
A spring balance has a scale that reads 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this spring, when displaced and released, oscillates with a period of 0.60 s. What is the weight of the body?
Concept: undefined >> undefined
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When a beam of 10.6 eV photons of intensity 2.0 W/m2 falls on a platinum surface of area 1.0 × 10-4 m2, only 53% of the incident photons eject photoelectrons. The number of photoelectrons emitted per second is ______.
Concept: undefined >> undefined
A cylinder of radius R, length Land density p floats upright in a fluid of density p0. The cylinder is given a gentle downward push as a result of which there is a vertical displacement of size x; it is then released; the time period of resulting (undampe (D) oscillations is ______.
Concept: undefined >> undefined
If the sun radiates energy at the rate of 3.6 × 1033 ergs/sec the rate at which the sun is loosing mass is given by ______.
Concept: undefined >> undefined
For 7.7 Mev alpha particles scattering from aluminium (Z = 13), the distance of closest approach in a bead on collision is ______.
Useful data
`1/(4 pi ∈_0) = 8.99 xx 10^9` newton m2C-2; c = 1.60 × 10-19 C; leV = 1.60 × 10-19j.
Concept: undefined >> undefined
Hydrogen atom in n = 3 state has a lifetime of 10-10 sec. The number of revolutions an electron makes in the n = 3 state before returning to the ground state is ______.
Useful data
`1/(4pi∈_0) = 8.99 xx 10^-34`N m2 C-2; e = 1.60 10-19 C; h = 6.63 10-34 Js; me = 9 × 10-3 kg
Concept: undefined >> undefined
As compared to 12C atom, 14C atom has ______.
Concept: undefined >> undefined
A window air conditioner is placed on a table inside a well-insulated apartment, plugged in and turned on. What happens to the average temperature of the apartment?
Concept: undefined >> undefined
The electromagnetic theory of light failed to explain ______.
Concept: undefined >> undefined
The displacement of a particle from its mean position is given by x = 4 sin (10πt + 1.5π) cos (10πt + 1.5π). The motion of the particle is
Concept: undefined >> undefined
In a capillary tube, water rises by 1.2 mm. The height of water that will rise in another capillary tube having half the radius of the first is:
Concept: undefined >> undefined
Two radioactive substances A and B have decay constants 3λ and λ respectively. At t = 0 they have the same number of nuclei. The ratio of the number of nuclei of A to those of B will be `1/"e"` after a time interval:
Concept: undefined >> undefined
Which one of the following statements does not hold good when two balls of masses m1 and m2 undergo elastic collision?
Concept: undefined >> undefined
An automobile moves on a road with a speed of 54 km h−1. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2. If the vehicle is brought to rest in l 5s, the magnitude of average torque transmitted by its brakes to the wheel is:
Concept: undefined >> undefined
If the lattice constant of this semiconductor is decreased, then which of the following is correct?

Concept: undefined >> undefined
A radioactive nucleus (initial mass number A and atomic number Z) emits 3 α- particles and 2 positrons. The ratio of the number of neutrons to that of protons in the final nucleus will be:
Concept: undefined >> undefined
The energy of a hydrogen atom in the ground state is −13.6 eV. The energy of a He+ ion in the first excited state will be:
Concept: undefined >> undefined
The equation of trajectory of a projectile is given by y = `"x"/sqrt3 - "gx"^2/20`, where x and y are in metres. The maximum range of the projectile is:
Concept: undefined >> undefined
A coil of one turn is made of a wire of certain length and then from the same length, a coil of two turns is made. If the same current is passed in both the cases, then the ratio of the magnetic inductions at their centres will be:
Concept: undefined >> undefined
