Maths-
General
Easy
Question
The expression
where
when simplified is.
- Independent of p
- Independent of p and of n
- dependent on both p & n
- positive
Hint:
Using formula
,
and
find the value of given expression in terms of n and p 's .
The correct answer is: Independent of p
= ![log subscript p open parentheses p to the power of 1 over p x 1 over p x 1 over p x.... space n space t i m e s end exponent close parentheses space](data:image/png;base64,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)
![equals space log subscript p open parentheses p to the power of n over p end exponent close parentheses space space left square bracket u sin g comma space log subscript a open parentheses b to the power of c close parentheses space equals space c space log subscript a open parentheses b close parentheses right square bracket
equals n over p space log subscript p open parentheses p close parentheses space left square bracket space u sin g comma space log subscript a open parentheses a close parentheses space equals 1 right square bracket
equals space n over p](data:image/png;base64,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Therefore, the value of expression is dependent on both n and p.
Related Questions to study
Maths-
Suppose you drop a die at random on the rectangular region shown. The probability that it will land inside the circle with diameter 1m is
![](data:image/png;base64,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)
Suppose you drop a die at random on the rectangular region shown. The probability that it will land inside the circle with diameter 1m is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALIAAAB/CAYAAABL/JgCAAAXZklEQVR4nO2d6VcbV56wnyqptKINCQmJzewYMNh4hzixEyduJ5NMJz2TPjmn3/P+U++3ni8z6e7TnpN2ljnu2B0vsXG8xAsObbMbg1nMYkCgXarl/WBQk23STsxW1POJQ6mq7q16dHXrd391r6BpmoaBwRZH3OgCGBi8CAyRDXSBIbKBLjBENtAFhsgGusAQ2UAXGCIb6AJDZANdYIhsoAvMG12AtUdFlRVUTUATzZhNIGx0kQxeODoXOUFi9ilzTxeJZU0otkK8wSIiPrPeK77t0OH9TJJZnGJyYICHQ2OMzcdYSGTI5jQUwYE9UE5JXQM7a8vYUezCZbTQukCHIs8SG7vCpT/8D+c6R5lweLEU+fCKGbTFGZ4mHCjFBzlw8l9475397Cm24NroIhv8YnQmsgZaDlVTUa1+CsJ26spL8JcGKDSnYbGfwXu93Pn7ea5LbnxV1RQ6iml2b3S5DX4pOhTZhTN8gAPv76NZdRGKuHG7JCRRRVAfMnD2Q079v0+5PPIN3/TOs7dmlciaiqbK5GQNRdUQBRVNzZHNyGRlDUwWzDY7dqsZqyCj5NKkUlkyORVVMCFKNmw2KzarCdOGXofth85EFkDwYPO6qWmxY7F8t4JNNNSEKbHlMEVjxFIqKXXVZnmG7JNBbnfPMzwj4/El0dKTDDwYY3gsSc5bTXDXEQ63VbDHM8HSwy6uXuvjwcg8C4IfR2QXrR3ttB/aSV2hiH19K7+t0aHINkxmcACggZImk06TSCRJp4YY6ltgxl5LuLGFqloPpas7yPIcmYkb3D77DWe7cxRW2Qn4c0wNTTL9+AlRelEHZxgdrOFxaRRtdoi79x7x6Mkcs0saaVMPD58mWbL7kA4U0+g0wvTrhc5E/i4JtIURxh8+ovvBMI8f9TIyGeeJr52aQ69xvC1Ag2fVx7UcWvIpixM9DA0I2O37aW89ziv7nZSbHvLkwU0uXOrk3ulbPKqup3Z3KzvfPsGJIKQGb/L3i5e509/J5a92URHw0bjLaJPXC32LLKdQY2NMDXVx52oX97vvM5YLIzTtp6GkiuoSO75vXQENTdNQcgKCtRBv9V52HXmLN3f52GGdJl6rkuy+S983szypOE5Twwle+5dG9gcEmAzwdaKbqYsT3O0bYbStGQyR1w2d//YJIJoQTFYsDhfuQACvE8SFEaZGHzE8lWZp9cc1BQ0R2RTAFWpg14Fd7N3lo8QKUIDJU0Khr5DKilJq9x2mubWOusByFNpSSHG4iIDXgpqKk4nHMV6GXD/03SKLDgRPNWVNDl5x19O6OMPk4D26b/cwfaeAvxWX4HypmsPh1TEGAU2wY7F78QW8+K0gLf9fER1YrXa8XhuWYBGFPomC/H4SVqcTu8OCkJHRFHmdK7u90b3IoreKMk8Vpc0AOZ7e/TOF49f4sPcanTcPs3NHKYfDjm/tJqCgqjlymSwZQAVENDTlWddD0xSUbJpsBnLwLNSmaWiAhoggiAiiMV64nui8awHPIhkCgiAgCBYC/iLCPhNmZZGFuQVisfQP76YtSwurugja8qYVob+9zZhYYePQmcgaZOLk4ossplSS39suk4rOMjOfJa5YsTrs2GzG0IUe0FfXQlNhaYL49DT3k4Wo3lIaSl0ErAA5SDxgsKeLOw8zLJpKKKssJ1TkXH0A0FRUVUVRVNTlFnn1dk1VUBUTqvrdFnjVvqqGarTO64q+REaD3DSLgxe5cnWKe09tBIt9BD0WrEKa7MIgwz0j9C9V4d9/lNcOVbAztOoSaApaLkUqFmMpliKVVVBWHVtTsmSTMRIxiXhaJqOu6lqoCmomQSoeYzGbJp1VMFg/9CWyIIJVQhDSZJ7c51HXAg8sbtw+Ow4xQ3oxQVIqJbDnBEfffI0TrX6qV4/siXZMrjDFlYvUesKEPfZVw8wiosWDt6SGsriZRNBJoXVV38xsR/KVEa6w0JANEPJa17Pm2x5Bd3O/ZaZYGh/kfs8IgxNxkkhINglJUJCzgCOEf0cjDfVlVAfMy6G1ZeR5sk8f09sf5UnGQ6hhB5XlPjyAgEwuPslkTx+TUZFcSQuRsiCV7uWoRWaB1GQffRMpxtUIOypK2FVhJIiuF/oT2WBborOohcF2ZU36yPF4nMnJSZaWlvIxV4ONR9O05Xi6gN1ux+fz4fP5sNvtCMLWHsBZE5GfPHnC2bNnGR0dxWazYTbr65lyqyIIAqqqkslk8Hg8NDc3s3v3biKRyJa/R2sm8hdffMHQ0BDV1dX4fD5E0ejFbDRms5lMJsPY2BgWiwVFUSgrKyMUChki/xDRaJShoSHm5+c5fPgwtbW1SJL00zsarCmSJJFMJllYWGBqaoqZmRkSiQSKsvVj3msici6XQ5ZlwuEwR44c4eDBg1itRlx1oxFFkXQ6TTqd5tq1a4iiiKqquniGWRORNU3DYrEQCASora2lsbFxLU5j8DOprKykt7cXSZK2/EPeCmvScV25OJqmIcsyqqr+xB4G64Ve78maPoGpqoosy+RyubU8jcFzkMvlUBRFF92J1RihBANdYIhsoAsMkQ10gSGygS4wRDbQBYbIBrrAENlAFxgiG+gCQ2QDXbC1c/deAKqqMjExwcTEBFNTU0SjUVKpVH4ETBRFLBYLFosFl8tFKBSirKyMkpISIxFqE7FtRU6lUszPzzM8PExvby8DAwM8fvyYubk5UqkUsiyjKAqCIORF9ng8lJaWUldXR0NDA9XV1YTDYRwOh26Sb7Yq21Lk6elprl69ytWrV+nt7SUejyNJEgUFBQQCAZxOJ3a7HZPJhKqqpFIpkskkiUSCvr4+7t69i8Viobq6mpdffpkjR45QXV290dXa1mwrkaPRKIODg9y4cYMrV64wNDSEoiiUlpZSXV1NXV0dJSUlBINB3G43VqsVWZaJRqMsLCwwOTnJ0NAQPT09jIyMMD09zczMDGNjYxw5coSmpiaKioo2uprbkm0jciKRoLOzk08++YSuri4EQaCtrY1Dhw7R0NCAx+PB6/XmW2NJkvItcjabJZPJkEwmWVxcZG5ujqGhIW7fvk13dzd/+tOf6Orq4t133+X111+nuLh4o6u77dgWIo+MjHDp0iXOnDnDwMAAfr+fw4cPc/z4cQ4dOoTD4fjRfUVRxGw243A48Pl8lJSUAHDo0CEaGxv58ssvuXTpEoODg/zxj39kZmaGEydOUF9fb7zetY7oXuS5uTk+//xz/vznPzM9Pc2+ffv49a9/TXt7O4WFhdhstp91XEmS2LNnD1VVVezdu5czZ85w8eJFTp06RSKR4L333qO5ufkF18bgx9C1yFNTU5w7d45PPvmE6elp2tvb+eCDDzhw4AAej+enD/ATWCwWioqKeOWVV3C5XLhcLs6dO8dnn32GJEn5KIcR0Vh7dCmypmlkMhlu377N6dOnmZiY4OjRo/zud7/jpZdeeuHnkySJgwcPEg6HkSSJv/zlL3zxxRcUFxdz8uTJLdxnziFnZHIKYLYgWUybVpjNWq5fRDabpb+/n87OTh4+fEh9fT3vv/8+bW1ta3re8vJyTp48yeLiIl988QUff/wx5eXlW1PkzAKxp9NMzy0xnwDB6ccTLiVSZF21bsrmQZcix+NxOjs7uXv3LiUlJbz55pt0dHSsy0hcS0sL2WyWgYEBBgYG6OrqorW1FZ/Ph8m0SWfHX+n6qBmUp4OMDtznbs84j6ZjpGSZnKygYEN0l1PW0ErL7nrqwgX4LRtb7NXoUuTZ2Vlu377N0tISb7/99rpJDM/6zU1NTXR0dBCLxejv7+fOnTt0dHRQULAZ2zIQhOWUGyVF7tFV/n72M/7YOcdA0ktJiQe/I0v66Qwz0zJyWQetb3/Ab17fw6tVEpslLqM7kROJBI8ePWJ8fByv10t7eztVVVXrWgaPx8PRo0eZnZ2lu7uba9eu0draumlFzs+7r4GKHbt/B5VtjRTaI9SXuAg4ZLLTA0zc7uTqw6+5frYEv99LVVkdFRJshoZZVyJrmsbExAT9/f1IkkRtbS07duzAYln/S71z507a2tq4ceMGDx48YHZ2llAotCkjGPmpAUQbYuQgTSdaKHGWYPd6CNtFzIKGFh8i3mrG9R9X+c/7d7n/9wYGf1VLSBKWRdZQs0my6TQp1YSigTmXJJtOEs+o5LBgLfDg8rpwSSoko8RjcRaTObKKiGgrwOH24nHZKJCe/xrpSmRFURgeHubhw4d4vV4aGhrwer0bUha3201lZSU2m43Z2VnGxsaoqanBbt+Ey/quiGyyIBXtIBgyU2wx860evS9CYU0ZZQE7tsQC8YVFolnI5D+gkHl8h6Gebr6OulmSJYriAyyM9nPvcZIpuZDilg72HutgfyiLZfAy3bfv0Nk7y2RcwlTcSvX+Yxw/upuXGr24n7MKuhJZlmWGh4cZHR1lx44d1NfXb2iqZWFhIaWlpYyNjTE6Osrc3BylpaUbVp6fRBAx2Wz84COpmkRbipPIKihWB1abDafIqj6yQm6qh5FrH/PXHjuPhTKaPAk8xJiLzrMwPczTp1NMzo0xEHYSjA7y9MlTpubniC1GeTo+w6PxJDnRgid0kN2FJpzP0TDrSmRVVfOJPK2trZSVlW2oyHa7nfLychYXF5mZmWF6eppIJLI1p9iNzjDeM8jD6TgJfyv+SIhSm/CtUJwmp0jPP2H6oca4t4TalqPsfbmRd6R5hJ7P+er8Jf7n4mM+djXRevAAh974d14tUSnM3ufO5xf5/NIN+q6XcH1vK0UFTuqe49bpTuRYLEYikcjnRmzkvL9msxm/34/T6SQej+dn8N9yqBPM917hb3/7hq8nHbgP7KOltYoKy2qBltcgRES1FuItb6H18DGOvFpJpQmonkcYv8eFG+MkTQ68uztoe/0Qx8NgpprA4ghjN89y/ckwA2MZZmu2schAPiFekqSfnUfxojCZTNhsNiRJQlEUZHkLLrSuzJPqu8D18+c580BlPrCfjqMHONxUjP+7PyyqApIDKdxA6c497K8PU2ECUMDhxFFcQWGhk7qaZvYdqKE+vCKgF8lbRKhIxKVmSMdzZH5kZeUfYwv+xv04mqaRy+XI5XKYTKYNfxVp5TUpk8m0RSdznCP98CKXPjrNqXOjDHkO0fCrf+Xt9kp2FYl8vwurgWBCsDqxOQtw2y3LgilgljBZC7BanBQ4nLjddv6RcyghmK3YbSIWs4qqKKjPOfe47lrkFTZLmGuzlOO5yc4w33uBG2c/49SFCXrMbTSd/Dfee7ud9goLrh+slgBooGSRs1kyuRxgffY/VVte9lhGyWXIpjNkWFk+WUVTNdAEEARE8R+Djf8suhJZEAQkScqvj5HNZjckhryCoihkMhkURcFsNm+d/GR5huTAea58/Bc+ujDGgH0fjW++z7/9aj8v1fyYxN/lu2t1P/tf/q8feFT4JU8PuhIZng0RS5JELpcjnU5v6Giaqqqk02lyuVz+C7Y5W+jlMmlZ1MURxh5c4+svL3P+mxyLFSd55Y13efdfd9P+yzNf1wxdiSyKIgUFBTidTtLpNNFodEOTdVbe91v5QhUUFGxKkfNlUuLEBy5w/fR/81/nnzLiPsi+Ix0caAlSnouyEAVRU1E0EMw2JKsVm2TCvPKkpSqoSg5ZVpCV77bIKpqqIOdkZFlB1b7dAmuqgiov76tqqM/ZPOtKZJPJRCgUIhgMEovFmJiYIBKJ/K+vMq0lmUyGx48fs7S0RCgUIhwOb0KRhXyHVM0sMfXgBve+/JKr3RCzK2RtWVK9Li6LadJZhaysIEhO7DVH2XX4VX61O0i179lxNDlDLpUgnkyhZp4J+QwNNBklkyQZT5JIZsmq2uqOBqqcIZOMk5STSFkNZbuLXFVVRXl5OTMzM/T19bFr164NE3lubo6xsTFyuRwVFRUEg8ENKcc/i6aJyNZiAtVN7EdgOmtGfHqfh3MaQ5qGpmoosoxgdVOg1VJQlyWZD8SImAsrCNbtpc1dh7XChdcu5rdhDuAubaD5QBEL5WVEHGb+EVMyYy+soHTXQXbJDRSErfieM+CkO5ErKyupqKigv7+f3t5eYrEYhYWF616WWCzG2NgYyWSSYDBIOBzepIsyamjas4VxRJufyOEPeKviKPuSAmlZQc5lkWU130JqqvosJ8NfSajMR4lr5Thm7HWvssfbTCDtxuSJUOkz57dhb6SsvYj/U54l6ygkVOTAly+DncL61+j4vztp0LyYg24iz9kf34xX9mcjCAKRSITa2lr++te/Mjg4yOPHj4lEIuseMVjJQ3Y6nTQ3N2/u+S6WO7OC2Ym3cjfeyt3sfO6DCJgLdxAq3EHoe9tEkIrwlBax6wdTTSTs/h2U+XdQ9tznzZ9BXzidTqqrqykrKyMej3Pr1i1GRkbWtQzJZJKvvvqKrq4uysvLOXjwIG738+ZzGTwPuhN5pVU+fPgwLpeLCxcu0NnZSTr9nGOeP5NsNkt3dzeXL1/myZMn+bzkjR4u1zu6ExmgoKCAl156iT179uQXeL9x4wapVGpNzyvLMvfu3ePTTz9lYmKCuro62traCIfDm/d9PZ2gS5HNZnN+gsGdO3fS39/PH/7wB27evLmm5x0cHOTTTz/l3LlzFBUV8Zvf/IaWlpY1PafBM3T1sLcaq9XKnj17iMVifPjhh9y4cSO/EmtbW9sLjWQkEgm++eYbzpw5w4ULF7Db7Zw4cYI33nhjQyIm2xHdigzg9/s5duwYS0tLnDp1iq+++opkMslvf/tbjh079kJeg0qlUnz99dd89NFHXL58Ga/Xy3vvvcfJkyfx+/0voBYG/wy6FlkQBHw+H8ePHwfgk08+4cGDB/z+97+np6eHI0eOsGfPHlwu108c6fskk0nu37/PrVu3uHjxIoODgwSDQd566y3eeecdampqXnR1DP4XdC3yCqWlpbz77rsEg0FOnz7N9evXGR8fZ2JigpmZGVpaWnC73fmEI5PJhCAICIKApmlomoaqquRyObLZLNFolJ6eHq5cucLNmzeZnp6mqamJ999/nzfeeGNzx4x1yrYQGZ7NNdHR0YHT6aSiooJbt25x9+5d7t27RyQSoaysjMrKSkKhEC6XC4vFgtlszmewpVIpZmdnGR0dZXBwkLGxMdLpNKFQiPb2dl5++WUOHjy46Yeh9cq2ERmeyfzKK6/Q0NBAY2Mj58+fp6uri4GBAaanpxkfH8fj8eRjvisvia68prS4uJh/uVWSJHbu3Mnx48c5duyYsfTCBrOtRF4hFArx6quvUl9fz+joaL6LMTc3RzQaZWpqikQiQSaTwWw243K5cDqdBAIBampqCAaDlJWVUV5eTmlpqdEKbwK2pcgAPp8Pn89Hc3MzsViM8fFxxsbGmJ2dJRqNfk9kl8uF3+8nEolQXl5OIBDY6CoYrGLbirwal8tFXV0dlZWVKIqCoiioqoqmaQiCgCiKiKKIyWRCkqRNmsW2vTHuyDImk8kYRt7C6HKI2mD7YYhsoAsMkQ10gSGygS4wRDbQBWsq8kroyogGbB5MJhOiKG7CaQl+Gesi8pacD1in6FFiWMM4sqIoJJNJotEoc3Nz+fyFLTk/sA4QBAGTyUQymWRpaSk/J51e7seaiLySBrmwsEBfXx9WqzU/xateLtxWQxAErFYrsViM4eFhYrFYfuRSDy30mohss9lwOByMjIzw5Zdf0tfXlx/WNUTeGFZmKk0mk/T29ubnkDabzYbIP0YwGOTAgQM4HA5EUWR+fj5/sQyRN4aV66+qKi6Xi6KiIqqqqvB6vbp4GBe0NTBrfn6egYEBZmdnUVUVVVVf9CkMfgYrt1oURdxuN5FIhHA4jMvl2vIP5GsisoHBerO1v4YGBssYIhvoAkNkA11giGygCwyRDXSBIbKBLjBENtAFhsgGusAQ2UAXGCIb6AJDZANdYIhsoAsMkQ10gSGygS4wRDbQBYbIBrrAENlAFxgiG+gCQ2QDXWCIbKALDJENdIEhsoEuMEQ20AWGyAa64P8DlfRU9PIXHNEAAAAASUVORK5CYII=)
Maths-General
Maths-
In the spinner shown, pointer can land on any of three parts of the same size. So there are three outcomes. What part of the whole is coloured ?
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)
In the spinner shown, pointer can land on any of three parts of the same size. So there are three outcomes. What part of the whole is coloured ?
![](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
If tanh
then sin h ![left parenthesis 2 x right parenthesis equals](data:image/png;base64,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)
If tanh
then sin h ![left parenthesis 2 x right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
A box contains 4 packs of chocolates. Anusha picks out a pack at random. What is the probability that she picks
i) Perk ? ii) Kitkat ?
![](data:image/png;base64,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)
A box contains 4 packs of chocolates. Anusha picks out a pack at random. What is the probability that she picks
i) Perk ? ii) Kitkat ?
![](data:image/png;base64,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)
Maths-General
maths-
Two vertical poles 20m and 80m heigh stand apart on a horizontal plane The height of the point of intersection of the lines joining the top of each pole to the foot of the other is
Two vertical poles 20m and 80m heigh stand apart on a horizontal plane The height of the point of intersection of the lines joining the top of each pole to the foot of the other is
maths-General
chemistry-
5 mole of an ideal gas expand isothermally and irreversibly from a pressure of 10atm to 1atm against a constant external pressure of 1 atm.
at 300 K is :
5 mole of an ideal gas expand isothermally and irreversibly from a pressure of 10atm to 1atm against a constant external pressure of 1 atm.
at 300 K is :
chemistry-General
chemistry-
In the conversion of lime stone to lime,
the values of
and
are
and
respectively at
and 1 bar. Assuming,
and
do not change with temperature; temperature above which conversion of lime stone to lime will be spontaneous is
In the conversion of lime stone to lime,
the values of
and
are
and
respectively at
and 1 bar. Assuming,
and
do not change with temperature; temperature above which conversion of lime stone to lime will be spontaneous is
chemistry-General
chemistry-
Which of the following expressions is correct?
Which of the following expressions is correct?
chemistry-General
chemistry-
Which of the following is true for spontaneous process?
Which of the following is true for spontaneous process?
chemistry-General
chemistry-
ΔG for the reaction
is -4.606 kcal. The value of equilibrium constant of the reaction at 227°C is
ΔG for the reaction
is -4.606 kcal. The value of equilibrium constant of the reaction at 227°C is
chemistry-General
chemistry-
Driving force of a reaction is the
Driving force of a reaction is the
chemistry-General
chemistry-
If the inversion temperature of a gas is -80°C, then it will produce cooling under Joule-Thomson effect at
If the inversion temperature of a gas is -80°C, then it will produce cooling under Joule-Thomson effect at
chemistry-General
chemistry-
For a perfectly crystalline solid
, where a and
are constant. If
is 0.40 J/K mol at 10 K and 0.92 J/K mol at 20 K, then molary entropy at 20 K is :
For a perfectly crystalline solid
, where a and
are constant. If
is 0.40 J/K mol at 10 K and 0.92 J/K mol at 20 K, then molary entropy at 20 K is :
chemistry-General
chemistry-
Two mole of an ideal gas is expanded irreversibly and isothermally at 37°C until its volume is doubled and 3.41 kJ heat is absorbed from surroundings.
(system +surroundings) is
Two mole of an ideal gas is expanded irreversibly and isothermally at 37°C until its volume is doubled and 3.41 kJ heat is absorbed from surroundings.
(system +surroundings) is
chemistry-General