Advertisements
Advertisements
प्रश्न
The magnitude of linear momentum of a particle moving at a relativistic speed v is proportional to ______________ .
पर्याय
v
1 − v2/c2
\[\sqrt{1 - \nu^2 / c^2}\]
none of these
उत्तर
none of these
Linear momentum of a particle moving at a relativistic speed v is given by
\[p = \frac{m_o v}{\sqrt{1 - \frac{v^2}{c^2}}}\]
Here, mo is the rest mass of the particle.
So, linear momentum is proportional to \[\frac{v}{\sqrt{1 - \frac{v^2}{c^2}}}.\]
APPEARS IN
संबंधित प्रश्न
If the speed of a particle moving at a relativistic speed is doubled, its linear momentum will _____________ .
If the speed of a rod moving at a relativistic speed parallel to its length is doubled,
(a) the length will become half of the original value
(b) the mass will become double of the original value
(c) the length will decrease
(d) the mass will increase
Which of the following quantities related to an electron has a finite upper limit?
A rod of rest length L moves at a relativistic speed. Let L' = L/γ. Its length
(a) must be equal to L'
(b) may be equal to L
(c) may be more than L' but less than L
(d) may be more than L
By what fraction does the mass of a spring change when it is compressed by 1 cm? The mass of the spring is 200 g at its natural length and the spring constant is 500 N m−1.
Find the increase in mass when 1 kg of water is heated from 0°C to 100°C. Specific heat capacity of water = 4200 J kg−1 K−1.
A 100 W bulb together with its power supply is suspended from a sensitive balance. Find the change in the mass recorded after the bulb remains on for 1 year.
The energy from the sun reaches just outside the earth's atmosphere at a rate of 1400 W m−2. The distance between the sun and the earth is 1.5 × 1011 m.
(a) Calculate the rate which the sun is losing its mass.
(b) How long will the sun last assuming a constant decay at this rate? The present mass of the sun is 2 × 1030 kg.
An electron and a positron moving at small speeds collide and annihilate each other. Find the energy of the resulting gamma photon.
Find the mass, the kinetic energy and the momentum of an electron moving at 0.8c.
Through what potential difference should an electron be accelerated to give it a speed of (a) 0.6c, (b) 0.9c and (c) 0.99c?
What is the kinetic energy of an electron in electron volts with mass equal to double its rest mass?
Find the speed at which the kinetic energy of a particle will differ by 1% from its nonrelativistic value \[\frac{1}{2} m_o v^2 .\]
Choose the correct answer from given options
The graph showing the correct variation of linear momentum (p) of a charge particle with its de-Broglie wavelength (λ) is _____________.
