A stone of relative density K is released from rest on the surface ofa lake. If viscous effects are ignored, the stone sinks in water with an acceleration of
g (1 − K)
g (1 + K)
C.
The net force acting on the stone in a downward direction would be equal to F = Vσg − Vρg, where m is the mass of the stone, the force acting downwards would be equal to Vσg due to its weight and the force acting upwards would be equal to Vρg due to the buoyant force. Hence, we get
A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of 2 x 10-3 , then the percentage change in volume is
0.6
0.4
0.2
zero
Two identical springs are connected to mass m as shown (k = spring constant). If the period of the configuration in (a) is 2s, the period of the configuration in (b) is
1 s
An object weights m1 in a liquid of density d1 and that in liquid of density d2 is m2. The density d of the object is
A body floats in water with 40% of its volume outside water. When the same body floats in an oil. 60% of its volume remains outside oil. The relative density of oil is
0.9
1.0
1.2
1.5
Two soap bubbles of radii x and y coalesce to constitute a bubble of radius z. Then z is equal to
x + y
A particle of mass m is located in a one dimensional potential field where potential energy is given by V(x) = A(l − cos px), where A and p are constants. The period of small oscillations of the particle is
The period of oscillation of a simple pendulum of length l suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination α is given by
A plane progressive wave is given by y = 2 cos 6.284 (330t − x). What is the period of the wave ?
The displacement of a particle is SHM varies according to the relation x = 4 (cos πt + sin πt). The amplitude of the particle is
− 4
4
8