Class XII

In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2 = 0.6931).
  1. 9.93%
  2. 8.93%
  3. 6.93%
  4. 7.93%
Order of a differential equation is defined as
  1. the order of the highest order derivative of the dependent variable
  2. the number of constant terms
  3. the number of derivative terms
  4. the order of the lowest order derivative ofthe dependent variable
General solution of a given differential equation
  1. contains exactly two arbitrary constants
  2. does not contain arbitrary constants
  3. contains exactly one arbitrary constant
  4. contains arbitrary constants depending on the order of the differential equation
Particular solution of a given differential equation
  1. can contain exactly two arbitrary constants
  2. can contain arbitrary constants
  3. can contain exactly one arbitrary constant
  4. does not contain arbitrary constants
In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs1000 is deposited with this bank, how much will it worth after 10 years (e0.5= 1.648).
  1. Rs 1948
  2. Rs 1648
  3. Rs 1748
  4. Rs 1848
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