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The area of the region bounded by the parabola (y – 2)² = x – 1, the tangent to the parabola at the point (2, 3) and the x-axis is

1) 6 sq units 2) 9 sq units 3) 12 sq units 4) 3 sq units Solution: (2) 9 sq units... View Article

The area of the region bounded by the curves y² = x and y = |x| is

1) 1/3 sq units 2) 1/6 sq units 3) 2/3 sq units 4) 1 sq units Solution: (2) 1/6 sq units... View Article

The area (in sq units) of the plane region bounded by the curve x = y² – 2 and the line y = -x is

1) 13/3 2) 2/5 3) 9/2 4) 5/2 5) 13/2 Solution: (3) 9/2... View Article

The area enclosed by y = 3x – 5, y = 0, x = 3 and x = 5 is

1) 12 sq units 2) 13 sq units 3) 13 1/2 sq units 4) 14 sq units Solution: (4) 14 sq units... View Article

Match List-I with List-II.

Match List-I with List-II. List-I List-II (Molecule) (Bond order) a. Ne2 i. 1 b. N2 ii. 2 c. F2 iii. 0... View Article

Which among the following pairs of Vitamins is stored in our body relatively for longer duration?

Which among the following pairs of Vitamins is stored in our body relatively for longer duration? a. Ascorbic acid and Vitamin D b. Thiamine and... View Article

In chromatography technique, the purification of a compound is independent of:

In chromatography technique, the purification of a compound is independent of: a. Length of the column or TLC plate b. Mobility or flow of... View Article

Which of the following is Lindlar catalyst?

a. Zinc chloride and HCl b. Partially deactivated palletised charcoal c. Sodium and Liquid NH3 d. Cold dilute solution of KMnO4 Answer: (b)... View Article

Given below are two statements:

Given below are two statements: Statement I: H2O2 can act as both oxidizing and reducing agent in the basic medium. Statement II: In the hydrogen... View Article

Among the following, the aromatic compounds are:

Among the following, the aromatic compounds are: Choose the correct answer from the following options: a. (A) and (B) only b. (A), (B) and... View Article

In the logic circuit shown in the figure, if input A and B

In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'. The value of x is ________.... View Article

Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure.

Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force of magnitude 100 N is applied at... View Article

The first three spectral lines of H-atom in the Balmer series are given λ₁, λ₂, λ₃ considering the Bohr atomic model, the wavelengths of first and third spectral lines (λ₁/λ₃) are related by a factor of approximately ‘x’×10^–1. The value of x, to the nearest integer, is ________.

Answer: (15) For 1st line ---------(1) For 3rd line -------(2) Therefore, dividing the latex 2 by 1 x ≈ 15 ∴ 15 is the... View Article

In the figure given, the electric current flowing through the 5 kΩ resistor is ‘x’ mA.

In the figure given, the electric current flowing through the 5 kΩ resistor is 'x' mA. The value of x to the nearest integer is... View Article

A ball of mass 10 kg moving with a velocity

A ball of mass 10 kg moving with a velocity 10√3 ms–1 along the X-axis, hits another ball of mass 20 kg which is at rest. After the... View Article

A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8Ω, L=24 mH and C=60 μF. The value of power dissipated at resonant conditions is ‘x’ kW. The value of x to the nearest integer is _________.

Answer: (4) At resonance, power (P) P=(Vrms)2R Therefore, ∴ P = 3906.25 W ∴ P ≅ 4 kW ∴ 4 is the required value.... View Article

The resistance R=V/I, where V = (50±2) V and I = (20±0.2) A. The percentage error in R is ‘x’ %. The value of ‘x’ to the nearest integer is _________.

Answer: (5) R=V/I (ΔR/R)×100=(ΔV/V) ×100+(ΔI/I)×100 % error in R=(2/50)×100+(0.2/20)×100 %... View Article

The value of power dissipated across the Zener diode (V_z = 15 V) connected in the circuit as shown in the figure is x*10^–1 watt.

The value of power dissipated across the Zener diode (Vz = 15 V) connected in the circuit as shown in the figure is x*10–1 watt. ... View Article

A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is ‘x’ nm. The value of ‘x’ to the nearest integer is ________.

Answer: (600) β = 6 mm, d =1 mm, D =10 m λ = ? λ = 600 × 10-9 m ∴ λ = 600 nm ∴ 600 is... View Article

The angle of deviation through a prism is minimum when (A) Incident ray and emergent ray are symmetric to the prism (B) The refracted ray inside the prism becomes parallel to its base (C) Angle of incidence is equal to that of the angle of emergence (D) When the angle of emergence is double the angle of incidence Choose the correct answer from the options given below: a. Only statement (D) is true b. Statements (A), (B) and (C) are true c. Statements (B) and (C) are true d. Only statement (A) and (B) are true

Answer: (b) Deviation is minimum in prism when, i = e, r1=r2 and ray inside prism is parallel to the base of the prism. Hence option... View Article

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