Science (English Medium) इयत्ता ११ - CBSE Question Bank Solutions

For the travelling harmonic wave

y (x, t) = 2.0 cos 2π (10t – 0.0080x + 0.35)

Where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of 0.5 m.

For the travelling harmonic wave

y (x, t) = 2.0 cos 2π (10t – 0.0080x + 0.35)

Where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of `λ/2`.

For two vectors A and B, A + B = A − B is always true when

1. |A| = |B| ≠ 0
2. A ⊥ B
3. |A| = |B| ≠ 0 and A and B are parallel or anti parallel
4. When either |A| or |B| is zero

Given below in column I are the relations between vectors a, b and c and in column II are the orientations of a, b and c in the XY plane. Match the relation in column I to correct orientations in column II.

Column I			Column II
(a)	a + b = c	(i)
(b)	a – c = b	(ii)
(c)	b – a = c	(iii)
(d)	a + b + c = 0	(iv)

A car of mass m starts from rest and acquires a velocity along east `v = vhati (v > 0)` in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is ______.

A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body is ______.

1. 1 m s^–2 at an angle of tan⁻¹ `(4/3)` w.r.t 6 N force.
2. 0.2 m s^–2 at an angle of tan⁻¹ `(4/3)` w.r.t 6 N force.
3. 1 m s^–2 at an angle of tan⁻¹ `(3/4)` w.r.t 8 N force.
4. 0.2 m s^–2 at an angle of tan⁻¹ `(3/4)` w.r.t 8 N force.

A mass of 2 kg is suspended with thread AB (Figure). Thread CD of the same type is attached to the other end of 2 kg mass. Lower thread is pulled gradually, harder and harder in the downward directon so as to apply force on AB. Which of the threads will break and why?

In the above given problem if the lower thread is pulled with a jerk, what happens?

Block A of weight 100 N rests on a frictionless inclined plane of slope angle 30° (figure). A flexible cord attached to A passes over a frictonless pulley and is connected to block B of weight W. Find the weight W for which the system is in equilibrium.

Two identical heavy spheres are separated by a distance 10 times their radius. Will an object placed at the mid point of the line joining their centres be in stable equilibrium or unstable equilibrium? Give reason for your answer.

Figure shows the P-V diagram of an ideal gas undergoing a change of state from A to B. Four different parts I, II, III and IV as shown in the figure may lead to the same change of state.

1. Change in internal energy is same in IV and III cases, but not in I and II.
2. Change in internal energy is same in all the four cases.
3. Work done is maximum in case I
4. Work done is minimum in case II.

A person of mass 60 kg wants to lose 5kg by going up and down a 10 m high stairs. Assume he burns twice as much fat while going up than coming down. If 1 kg of fat is burnt on expending 7000 kilo calories, how many times must he go up and down to reduce his weight by 5 kg?

Boyle’s law is applicable for an ______.

1 mole of H₂ gas is contained in a box of volume V = 1.00 m³ at T = 300K. The gas is heated to a temperature of T = 3000K and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal) ______.

The volume of a given mass of a gas at 27°C, 1 atm is 100 cc. What will be its volume at 327°C?

When air is pumped into a cycle tyre the volume and pressure of the air in the tyre both are increased. What about Boyle’s law in this case?

A particle is acted simultaneously by mutually perpendicular simple harmonic motions x = a cos ωt and y = a sin ωt. The trajectory of motion of the particle will be ______.

Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P is ______.

The rotation of earth about its axis is ______.

1. periodic motion.
2. simple harmonic motion.
3. periodic but not simple harmonic motion.
4. non-periodic motion.

A particle is in linear simple harmonic motion between two points A and B, 10 cm apart (Figure). Take the direction from A to B as the + ve direction and choose the correct statements.

1. The sign of velocity, acceleration and force on the particle when it is 3 cm away from A going towards B are positive.
2. The sign of velocity of the particle at C going towards O is negative.
3. The sign of velocity, acceleration and force on the particle when it is 4 cm away from B going towards A are negative.
4. The sign of acceleration and force on the particle when it is at point B is negative.