JEE Advanced 2013 Paper 2 Offline

MCQ (More than One Correct Answer)

-0.75

A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time t = 0 with an initial velocity u₀. When the speed of the particle is 0.5 u₀. It collides elastically with a rigid wall. After this collision,

the speed of the particle when it returns to its equilibrium position is u₀.

the time at which the particle passes through the equilibrium position for the first time is $$t = \pi \sqrt {{m \over k}} $$

the time at which the maximum compression of the spring occurs is $$t = {{4\pi } \over 3}\sqrt {{m \over k}} $$

the time at which the particle passes through the equilibrium position for the second time is $$t = {{5\pi } \over 3}\sqrt {{m \over k}} $$

IIT-JEE 2010 Paper 1 Offline

MCQ (More than One Correct Answer)

-0.75

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 ms⁻¹. Which of the following statement(s) is (are) correct for the system of these two masses?

Total momentum of the system is 3 kg ms⁻¹

Momentum of 5 kg mass after collision is 4 kg ms⁻¹

Kinetic energy of the centre of mass is 0.75 J

Total kinetic energy of the system is 4 J

IIT-JEE 2008 Paper 1 Offline

MCQ (More than One Correct Answer)

-2

Two balls, having linear momenta $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow p _2} = - p\widehat i$$, undergo a collision in free space. There is no external force acting on the balls. Let $${\overrightarrow {p'} _1}$$ and $${\overrightarrow {p'} _2}$$ be their final momenta. The following option(s) is (are) NOT ALLOWED for any non-zero value of $$p,{a_1},{a_2},{b_1},{b_2},{c_1}$$ and $${c_2}$$ :

$${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j + {c_1}\widehat k;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_2}\widehat j$$

$${\overrightarrow {p'} _1} = {c_1}\widehat k;{\overrightarrow {p'} _2} = {c_2}\widehat k$$

$${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j + {c_1}\widehat k;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_2}\widehat j - {c_1}\widehat k$$

$${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_1}\widehat j$$

JEE Advanced Subjects