HSC Science (Electronics) 12th Standard Board Exam - Maharashtra State Board Important Questions

A seconds pendulum is suspended in an elevator moving with constant speed in downward direction. The periodic time (T) of that pendulum is _______.

The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3  seconds.

The maximum velocity of a particle performing linear S.H.M. is 0.16 m/s. If its maximum acceleration is 0.64 m/s², calculate its period.

The ratio of diameters of two wires of the same material and length is n : 1. If the same load is applied to both the wires then increases in the length of the thin wire is ........................ (n > 1).

1. n^1/4 times
2. n^1/2 times
3. n times
4. n² times

The buckling of a beam is found to be more if ___ .

(a) the breadth of the beam is large.

(b) the beam material has large value of Young's -modulus.

(c) the length of the beam is small.

(d) the depth of the beam is small.·

Two particles perform linear simple harmonic motion along the same path of length 2A and period T as shown in the graph below. The phase difference between them is ___________.

A mass M attached to a spring oscillates with a period of 2 seconds. If the mass is increased by 2 Kg, the eriod increases by 1 second. Find the initial mass, assuming that Hooke's law is obeyed.

Define an ideal simple pendulum.

A copper metal cube has each side of length 1 m. The bottom edge of the cube is fixed and tangential force 4.2x10⁸ N is applied to a top surface. Calculate the lateral displacement of the top surface if modulus of rigidity of copper is 14x10¹⁰ N/m².

Young’s modulus of material of wire is ‘Y’ and strain energy per unit volume is ‘E’, then the strain is

(A) `sqrtY/(2E)`

(B) `sqrt(E/Y)`

(C) `sqrt((2E)/Y)`

(D) `sqrt(2EY)`

Stretching of a rubber band results in _______.

(A) no change in potential energy.

(B) zero value of potential energy.

(C) increase in potential energy.

(D) decrease in potential energy.

A mass of 1 kg is hung from a steel wire if radius 0.5 mm and length 4 m. Calculate the extension produced. What should be the area of cross-section of the wire so that elastic  limit is not exceeded? Change in radius is negligible

(Given : g = 9.8 m/s^2; Elastic limit of steel is 2.4 x 10⁸ N/m²;Y for steel (Ysteel) = 20 x 10¹⁰ N/m²; π = 3.142)

Within the elastic limit, find the work done by a stretching force on a wire.

Define linear simple harmonic motion.

Two wires of the same material have radii rA and rB respectively. The radius of wire A is twice the radius of wire B. If they are stretched by same load then stress on wire B is _______.

The S.I. unit of compressibility is __________.

Answer in brief:

Derive an expression for the period of motion of a simple pendulum. On which factors does it depend?

A particle executing linear S.H.M. has velocities v₁ and v2 at distances x₁ and x₂ respectively from the mean position. The angular velocity of the particle is _______

The compressibility of a substance is the reciprocal of _________.

(a) Young’s modulus

(b) bulk modulus

(c) modulus of rigidity

(d) Poisson's ratio

A particle performing linear S.H.M. has the maximum velocity of 25 cm/s and maximum acceleration of 100 cm/ m². Find the amplitude and period of oscillation. (π = 3.142)