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Please do this question. There are lots of answers for this question on Chegg with different answers. I need the correct answers. Also, write and explain which is relativistic and proper time.

6. A muon exists for 2.00 ms when measured by an observer at rest with respect to the muon. At 0.998c, a cosmic ray creates a muon in the Earth's upper atmosphere that travels towards the Earth. During its lifetime
:a) How far does the muon say that it has traveled relative to Earth?
b) What is the lifetime of the muon as measured by an observer on Earth?
c) How far does an observer on Earth say the muon has traveled?

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Medium

A particle of mass

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is kept on the surface of a uniform sphere of mass

20 kg

and radius

1.0 m

. The work to be done against the gravitational force between them to take the particle away from the sphere, will be

$1.334 \times 1 0^{- 9}$ J
$1.334 \times 1 0^{- 10}$ ,
$2.33 \times 1 0^{- 9}$ J
None of these

Topic:

Gravitation

Book:

Master Resource Book in JEE Main Physics (Arihant)

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Question 2

Hard

A spherical uniform planet is rotating about its axis. The velocity of a point on its equator is

v

. Due to the rotation of planet about its axis, the acceleration due to gravity

g

at equator is

1/2

g

at poles. The escape velocity of a particle on the pole of the planet in terms of

v

$v_{e} = 2 v$
$v_{e} = v$
$v_{e} = v /2$
$v_{e} = 3 v$

Topic:

Gravitation

Book:

Physics for JEE Main and Advanced Mechanics 2 (McGraw Hill)

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Question 3

Easy

The work done by a battery is

W = ε Δ q

, where

Δ q

change transferred by battery,

ε =

emf of the battery. What are dimensions of emf of battery?

$[M^{0} L^{0} T^{- 2} A^{- 2}]$
$[ML^{2} T^{- 3} A^{- 2}]$
$[M^{2} L^{0} T^{- 3} A^{0}]$
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Topic:

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Question 4

Hard

The efficiency of an ideal heat engine working between the freezing point and boiling point of water, is :

6.25%
20%
26.8%
12.5%

Topic:

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Book:

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Exam:

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Question Text	Please do this question. There are lots of answers for this question on Chegg with different answers. I need the correct answers. Also, write and explain which is relativistic and proper time.
Topic	All topics
Subject	Physics
Class	Class 11

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