1
JEE Main 2017 (Offline)
+4
-1
A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of:
A
$${1 \over {81}}$$
B
9
C
$${1 \over {9}}$$
D
81
2
JEE Main 2017 (Offline)
+4
-1
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 75oC. T is given by: (Given : room temperature = 30oC, specific heat of copper = 0.1 cal/gmoC)
A
825oC
B
800oC
C
885oC
D
1250oC
3
JEE Main 2017 (Offline)
+4
-1
An external pressure P is applied on a cube at 0oC so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and $$\alpha$$ is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by:
A
$${P \over {3\alpha K}}$$
B
$${P \over {\alpha K}}$$
C
$${3 \alpha \over {P K}}$$
D
3PK$$\alpha$$
4
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
A thin 1 m long rod has a radius of 5 mm. A force of 50 $$\pi$$kN is applied at one end to determine its Young’s modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is 0.01 mm, which of the following statements is false ?
A
$${{\Delta \gamma } \over \gamma }$$ gets minimum contribution from the uncertainty in the length.
B
The figure of merit is the largest for the length of the rod.
C
The maximum value of $$\gamma$$ that can be determined is 2 $$\times$$ 1014 N/m2
D
$${{\Delta \gamma } \over \gamma }$$ gets its maximum contribution from the uncertainty in strain
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