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Physics-

General

Easy

Question

Two uniform rods are welded together to form a letter T as shown in the figure. Each rod is of mass M and length ‘l’. If this combination is hinged at ‘A’ and kept in vertical plane then time period of small oscillations about A is equal to

$2 π \sqrt{\frac{l}{6 \sqrt{3} g}}$
$2 π \sqrt{\frac{3 l}{2 \sqrt{2} g}}$
$2 π \sqrt{\frac{l}{2 g}}$
$2 π \sqrt{\frac{11 l}{(6 \sqrt{5}) (g)}}$

The correct answer is: $2 pi square root of fraction numerator 11 l over denominator left parenthesis 6 square root of 5 right parenthesis left parenthesis g right parenthesis end fraction end root$

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The work done by the string of a simple pendulum during one complete oscillation is equal to

The work done by the string of a simple pendulum during one complete oscillation is equal to

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If the system of equations ax + hy + g = 0, hx + by + f = 0 and ax² + 2hxy+ by² + 2gx + 2fy + c + t = 0 has a unique solution, then

If the system of equations ax + hy + g = 0, hx + by + f = 0 and ax² + 2hxy+ by² + 2gx + 2fy + c + t = 0 has a unique solution, then

If a, b, c are positive integers, then the co-efficient of x in $capital delta equals open vertical bar table row cell 1 plus x end cell cell open parentheses 1 plus x close parentheses to the power of a end exponent end cell cell open parentheses 1 plus x close parentheses to the power of b c end exponent end cell row cell 1 plus x end cell cell open parentheses 1 plus x close parentheses to the power of b end exponent end cell cell open parentheses 1 plus x close parentheses to the power of c a end exponent end cell row cell 1 plus x end cell cell open parentheses 1 plus x close parentheses to the power of c end exponent end cell cell open parentheses 1 plus x close parentheses to the power of a b end exponent end cell end table close vertical bar$ is

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parallel

The value of the expression ⁿ⁺¹C₂ + 2[²C₂ + ³C₂ + ⁴C₂ + … + ⁿ C₂] is

The value of the expression ⁿ⁺¹C₂ + 2[²C₂ + ³C₂ + ⁴C₂ + … + ⁿ C₂] is

1.ⁿC₁ + 2.ⁿC₂ + 3.ⁿC₃ + ….+ n.ⁿC_n is equal to

1.ⁿC₁ + 2.ⁿC₂ + 3.ⁿC₃ + ….+ n.ⁿC_n is equal to

$open square brackets 5 square root of 5 plus 11 close square brackets to the power of 2 n plus 1 end exponent$ is always

$open square brackets 5 square root of 5 plus 11 close square brackets to the power of 2 n plus 1 end exponent$ is always

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A watch of meritorius students of the coaching institute is to be formed. For this a student must obtain at least 80% aggregate marks in a test of Physics, Chemistry and Math. (M.M. = 100 each).
The number of ways in which a student can qualify for the batch of meritorius students is

A watch of meritorius students of the coaching institute is to be formed. For this a student must obtain at least 80% aggregate marks in a test of Physics, Chemistry and Math. (M.M. = 100 each).
The number of ways in which a student can qualify for the batch of meritorius students is

The number of positive integers satisfying the inequality $n plus 1 C subscript n minus 2 end subscript minus to the power of n plus 1 end exponent C subscript n minus 1 end subscript less or equal than 100$ is

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If the (n + 1) numbers a, b, c, d,…….. be all different and each of them a prime number, then the number of different factors (other than 1) of a^m.b. c.d….. is

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parallel

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If every pair from among the equations x² + px + qr = 0, x² + qx + rp = 0 and x² + rx + pq = 0 have a common root, then $open parentheses fraction numerator s u m blank o f blank r o o t s over denominator p r o d u c t blank o f blank r o o t s end fraction close parentheses$ is

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parallel

Which is U.P. spirit (containing ethyl alcohol by volume)?

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Chemistry-General

When vapours of an alcohol are passed over hot reduced copper, alcohol is converted into alkene, the alcohol is:

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Primary amine on treatment with $N a N O subscript 2 end subscript$ and HCI yields:

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Chemistry-General

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