1
IIT-JEE 2010 Paper 1 Offline
Numerical
+4
-0
If the distance between the plane $$Ax-2y+z=d$$ and the plane containing the lines $${{x - 1} \over 2} = {{y - 2} \over 3} = {{z - 3} \over 4}$$ and $${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}\,$$ is $$\sqrt 6 \,\,,$$ then find $$\left| d \right|.$$
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2
IIT-JEE 2010 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?
A
Error ΔT in measuring T, the time period, is 0.05 seconds
B
Error ΔT in measuring T, the time period, is 1 second
C
Percentage error in the determination of g is 5%
D
Percentage error in the determination of g is 2.5%
3
IIT-JEE 2010 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0.75

A block of mass m is on an inclined plane of angle θ. The coefficient of friction between the block and the plane is μ and tan θ > μ. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from P1 = mg(sinθ − μ cosθ) to P2 = mg(sinθ + μ cosθ), the frictional force f versus P graph will look like

IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 24 English
A
IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 24 English Option 1
B
IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 24 English Option 2
C
IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 24 English Option 3
D
IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 24 English Option 4
4
IIT-JEE 2010 Paper 1 Offline
MCQ (More than One Correct Answer)
+3
-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?
A
Total momentum of the system is 3 kg ms−1
B
Momentum of 5 kg mass after collision is 4 kg ms−1
C
Kinetic energy of the centre of mass is 0.75 J
D
Total kinetic energy of the system is 4 J
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