Nsep

A large cylindrical vessel contains water to a height of 10 m. It is found that the thrust acting on the curved surface is equal to that at the bottom. If atmospheric pressure can support a water column of 10 m, the radius of the vessel is

(a) 10 m (b) 15 m (c) 5 m (d) 25 m 

Consider two point masses m₁ and m₂ connected by alight rigid rod of length r₀. The moment of inertia of the system about an axis passing through their centre of mass and perpendicular to the rigid rod is given by

An isolated metallic object is charged in vacuum to a potential V₀ using a suitable source, its electrostatic energy being W₀. It is then disconnected from the source and immersed in a large volume of dielectric with dielectric constant K. The electrostatic energy of the sphere in the dielectric is :

(A)  K²W₀

(B)   K W₀

(C)   W_0/K²

(D)  W₀/K

A ball is dropped onto a horizontal surface from a height of 36 cm. After bouncing several times it comes to rest covering a total distance of 100 cm measured in a vertical direction. The percentage loss in its kinetic energy after its first impact is

(a) 36 (b) 64 (c) 53 (d) 96 

It is required to decide the ratio (e₁ / e₂) by sum and difference method also. Four cells with different values of emf E are available. One must use a cell of emf E equal to 

(a) 1.40 V  (b) 2.0 V  (c) 4.5 V  (d) 1.08 V 

Refer to the circuit given below. Output voltage V₀ is measured between points a and b. Then,

(a)  the peak value of V₀ is 2.5 V above the minimum if the diode is assumed to be ideal 

(b)  the positive half cycle of the input is clipped 

(c)  the circuit acts as a rectifier 

(d)  the peak value V₀ is about 3.2 V above the minimum if D is silicon diode (non-ideal)

A thin annular metal disc of inner and outer radii R₁ and R₂  respectively, is freely suspended from a point on its outer circumference. The length of the corresponding equivalent simple pendulum is

The best material for strips marked S and S¹ is

(a) Plastic (b) Aluminium (c) Cast Iron (d) Plated Brass

If the threshold of hearing is assumed to be the reference (0 dB), then the threshold of pain is taken to be 120 dB. Let the corresponding sound intensities be I₀ and I respectively. Then I₀/I is

(a) 120 (b) 10¹² (c) 10^-12 (d) 10^1.2 

The variation of amplitude A with respect to time t is shown as