Tapendra S.

Tutor for 2 years teaching 12th grade and engineering students

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Basic Math

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Question:

If at any point on the curve y=f(x), the subtangent and subnormal are equal , then the tangent is equal to ?

Tapendra S.

Answer:

y/(dy/dx)=(dy/dx)y (dy/dx)^2 =1 y(√1+(dy/dx)^2)/(dy/dx) = y(√1+1) = √2 y the tangent will be √2(ordinate).

Chemistry

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Question:

4.3 gms of tri basic acid was dissolved in 500 mL of water . 20 mL of this solution neutralizes 24.6 mL of a decinormal NaOH solution . The molar mass of the acid is ?

Tapendra S.

Answer:

Strenght of the acid =2.5*1000/500 = 5.00g/L 20 mL of N1 acid neutralizes 24.6 mL of (N/10)NaOH N1=24.6*0.1/20 = 0.123 equivalent mass =5/0.123=40.63 molecular mass = 40.63*3 =121.89 hence molar mass of acid is 121.89 or rounded off as 122

Physics

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Question:

The range of a rifle bullet is 1000 meters when 'A' is the angle of projection. If the bullet is fired with the same angle from a car traveling horizontally at 36 km/h towards the target, the range will be increased by ?

Tapendra S.

Answer:

Initial range R= (2u^2 sinA cosA )/g = 2u(x- direction )u(y- direction )/g where u(x- direction)= u cosA ,& u(y- direction )= u sinA Final range R'= 2(u(x-direction)+10 )u(y-direction))/g increase in range = R'-R= 20 u(y- direction)/g = 20 u sinA/g R=2u^2 sin A cos A/g = 1000 Substituting for u we get the results , (1000(tanA)^.5 )/7 meters

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