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Frequently Asked IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions Page 34

(#M40027932) IIT-JEE QUESTION 2012 question Keep an EYE

A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the
spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2
m and released from rest at t = 0. It then executes simple harmonicmotion with angular frequency rad/ s
pie/3.
Simultaneously at t = 0, a small pebble is projected with speed v from point P at an angle of 45º as shown in the
figure. Point P is at a horizontal distance of 10 cm from O. If the pebble hits the block at t = 1s, the value of v is

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(#M40027931) IIT-JEE QUESTION 2012 question Keep an EYE

A mixture of 2 moles of helium gas (atomic mass = 4 amu), and 1 mole of argon gas (atomic mass = 40 amu)
is kept at 300 K in a container. The ratio of the rms speeds is

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(#M40027930) IIT-JEE QUESTION 2012 question Keep an EYE

Two large vertical and parallelmetal plates having a separation of 1 cm are connected to a DC voltage source of
potential difference X. Aproton is released at rest midway between the two plates. It is found to move at 45° to
the vertical JUST after release. Then X is nearly

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(#M40027925) IIT-JEE QUESTION 2010 question Keep an EYE

Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is
observed to move from 25/3m to 50/7 m
in 30 seconds. What is the speed of the object in km per hour ?

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(#M40027919) IIT-JEE QUESTION 2010 question Keep an EYE

A uniformly charged thin spherical shell of radius R carries uniform
surface charge density of σ per unit area. It is made of two hemispherical
shells, held together by pressing them with force F..F is
proportional to

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(#M40027916) IIT-JEE QUESTION 2010 question Keep an EYE

Two adjacent sides of a parallelogram ABCD are given by AB= 2ˆi +10ˆj+11kˆ
􀁊􀁊􀁊􀁇
and AD= − ˆi + 2ˆj+ 2kˆ
􀁊􀁊􀁊􀁇
. The
side AD is rotated by an acute angle α in the plane of the parallelogram so that AD becomes AD′. If AD′
makes a right angle with the side AB, then the cosine of the angle α is given by

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(#M40027915) IIT-JEE QUESTION 2010 question Keep an EYE

A signal which can be green or red with probability 4/5 and 1/5
respectively, is received by station A and then
transmitted to station B. The probability of each station receiving the signal correctly is 4/3
. If the signal
received at station B is green, then the probability that the original signal was green is

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(#M40027914) IIT-JEE QUESTION 2010 question Keep an EYE

If the distance of the point P(1, –2, 1) from the plane x + 2y – 2z = α, where α > 0, is 5, then the foot of the
perpendicular from P to the plane is

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(#M40027909) IIT-JEE QUESTION 2010 question Keep an EYE

Silver (atomic weight = 108 g mol–1) has a density of 10.5 g cm–3. The number of silver atoms on a surface
of area 10–12 m2 can be expressed in scientific notation as y×10x . The value of x is

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(#M40027908) IIT-JEE QUESTION 2010 question Keep an EYE

The complex showing a spin-only magnetic moment of 2.82 B.M. is

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