JEE Advanced 2020 Full Test 6 Paper 1

Radius of 2m=‌

r

3

, radius of m=‌

2r

3

⋅ (because C.M of the system should be at rest)
Similarly, velocity of 2m=‌

v

3

; velocity of m=‌

2v

3

∴‌‌K.E of 2m=‌

1

2

m(‌

v

3

)2;K.E of m=‌

1

2

m(‌

2v

3

)2
∴K.E of 2m=‌

mv2

9

;K.E. of m=‌

2mv2

9

Time period of 2m=‌

2π(r∕3)

v∕3

; Time period of m=‌

2π( 2π 3 )

2v∕3

Time period of 2m=‌

2πr

v

; Time period of m=‌

2πr

v

Angular momentum of 2m=2m(‌

v

3

)(‌

r

3

); angular momentum of m=m(‌

2v

3

)(‌

2r

3

)
Angular momentum of 2m=‌

2mvr

9

; angular momentum of m=‌

4mvr

9

.