Question
If n = 5 + √6, then find the value of (n +
1/n)².Solution
'n' = 5 + √6
So,
1/n = 1 / (5 + √6) × (5 - √6)/(5 - √6)
= (5 - √6) / (25 - 6)
= 5 - √6
Required value = (5 + √6 + 5 - √6)² = (10)² = 100
The radii of curvature of the faces of a double convex lens are 20 cm and 30 cm. If focal length of the lens is 36 cm find the refractive index of t...
A soap bubble expands isothermally and its radius doubles. The work done by surface tension during this expansion is:
Two cars A and B are running at velocities of 60km per hour and 45 km per hour. What is the relative velocity of car A with respect to car B, if both ar...
A body is projected upwards with an initial velocity u . At the highest point, what is its acceleration?
When heated from 0° to 10°C volume of a given mass of water will -
Current sensitivity of a moving coil galvanometer is 9 div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is 30 div/V. The...
What is the angle between centripetal acceleration and tangential acceleration?
A uniform wire is bent into a circle and a battery is connected across a chord that subtends an angle of 60° at the center. What is the ratio of curren...
A container is filled with two immiscible liquids of densities ρ₁ = 1000 kg/m³ (height 0.3 m) and ρ₂ = 800 kg/m³ (height 0.2m) stacked above eac...
Find the resistance when a current of 2 A flows under a voltage of 10 V.
Relevant for Exams:
